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10-01-2009, 12:33 PM
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#1
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Your Mind
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Reps to whoever can figure this out
Mary works at a bakery that sells two layered cakes for $15.75 each and three layered cakes for $20.75. Today she sold 45 cakes for a total of $803.75. How many of each type of cake did she sell?
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10-01-2009, 12:36 PM
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#2
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Infidel Alliance
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whats the sales tax in Connecticut?
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10-01-2009, 12:37 PM
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#3
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Quote:
Originally Posted by Liberate
Mary works at a bakery that sells two layered cakes for $15.75 each and three layered cakes for $20.75. Today she sold 45 cakes for a total of $803.75. How many of each type of cake did she sell?
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26 ea. 2-layer
19 ea. 3-layer
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10-01-2009, 12:37 PM
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#4
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Mary was a whore
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10-01-2009, 12:37 PM
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#5
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Bustin ass...
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45 = x + y
803.75 = 15.75*x + 20.75*y
substitute and solve... x is number of 2-layered cakes, y is number of 3-layered cakes
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10-01-2009, 12:37 PM
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#6
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I dunno...
x+y=45
15.75X + 20.75y = 803.75
x= 2 layer
y= 3 layer
I can't tell you what to do from here...
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10-01-2009, 12:39 PM
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#7
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26 2 layered cakes
19 3 layered cakes
go ahead and try it
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10-01-2009, 12:40 PM
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#8
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Quote:
Originally Posted by SplittinAdam
26 ea. 2-layer
19 ea. 3-layer
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ding ding
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10-01-2009, 12:41 PM
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#9
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Quote:
Originally Posted by Liberate
Mary works at a bakery that sells two layered cakes for $15.75 each and three layered cakes for $20.75. Today she sold 45 cakes for a total of $803.75. How many of each type of cake did she sell?
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15.75x + 20.75(45-x) = 803.75
solve for x
26 2 layer
19 3 layer
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10-01-2009, 12:43 PM
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#10
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Your Mind
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Quote:
Originally Posted by carinishead
45 = x + y
803.75 = 15.75*x + 20.75*y
substitute and solve... x is number of 2-layered cakes, y is number of 3-layered cakes
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im still clueless. I get the equation but where do i go from there?
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10-01-2009, 12:43 PM
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#11
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15.75 x 26 = 409.50
20.75 x 19 = 394.25
409.50+394.25 = 803.75
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10-01-2009, 12:43 PM
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#12
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Your Mind
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Quote:
Originally Posted by SplittinAdam
26 ea. 2-layer
19 ea. 3-layer
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howd u get that
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10-01-2009, 12:44 PM
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#13
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over 9000
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10-01-2009, 12:44 PM
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#14
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Quote:
Originally Posted by Liberate
Mary works at a bakery that sells two layered cakes for $15.75 each and three layered cakes for $20.75. Today she sold 45 cakes for a total of $803.75. How many of each type of cake did she sell?
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mary is a whore
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10-01-2009, 12:50 PM
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#15
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Quote:
Originally Posted by Liberate
howd u get that
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i dunno about equation but what i did was basically estimate..
started at 20 (2 layers) - 25 (3 layers) = total price too big
tried 25 (2 layers) - 20 (3 layers) = close but not there yet
tried 26 (2 layers) - 19 (3 layers) = correct answer
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10-01-2009, 12:50 PM
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#16
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The Guardian
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you change the
45=x+y into y=45-x
then you substitute it into the main formula which is 803.75=15.75x+20.75y
this will give you the following:
803.75= 15.75x+20.75(45-x)
then just solve for x, which is by doing the following:
803.75=15.75x+20.75*45-20.75x
then,
803.75=-5x+933.75
then (just rearrange the numbers),
933.75-803.75=5x
this will give you 130=5x
x=130/5= 26
now you have x, so just solve for y by substituting x=26 into the formula y=45-x
so y=45-26, which means y= 19
since x is the 2-layer cakes, mary have sold 26 2-layer cakes
and since y represents the 3-layer cakes, mary have sold 19 3-layer cakes.
Last edited by BRN; 10-01-2009 at 12:52 PM.
Reason: organized
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10-01-2009, 12:51 PM
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#17
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Quote:
Originally Posted by Liberate
im still clueless. I get the equation but where do i go from there?
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Trial and error.
Or plug into calculator.
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10-01-2009, 12:51 PM
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#18
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Quote:
Originally Posted by Liberate
howd u get that
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The formula for proving has been posted. Easiest way to actually discover the total was to split the # of cakes sold, do your math, and set a starting point. I started at 25 2-layer and 20 3-layer.
25*15.75 = 393.75
20*20.75 = 415.00
808.75
Based on the total value, $803.75, I'm 5 dollars high - add 1ea. 2-layer, deduct 1ea. 3-layer, gives me your total.
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10-01-2009, 12:52 PM
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#19
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Bustin ass...
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Quote:
Originally Posted by BRN
you change the
45=x+y into y=45-x
then you substitute it into the main formula which is 803.75=15.75*x+20.75*y
this will give you the following:
803.75= 15.75x+20.75(45-x)
then just solve for x, which is by doing the following:
803.75=15.75x+20.75*45-20.75x
then,
803.75=-5x+933.75
then (just rearrange the number),
933.75-803.75=5x
this will give you 130=5x
x=130/5= 26
now you have x, so just solve for y by substituting x=26 into the formula y=45-x
so y=45-26, which means y= 19
since x is the 2-layer cakes, mary have sold 26 2-layer cakes
and since y represents the 3-layer cakes, mary have sold 19 3-layer cakes.
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^^^^ THIS
good work brn, thanks for coverin for me
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10-01-2009, 12:52 PM
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#20
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Juris Doctor up in here!
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Quote:
Originally Posted by PickItUp
I dunno...
x+y=45
15.75X + 20.75y = 803.75
x= 2 layer
y= 3 layer
I can't tell you what to do from here...
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x + y = 45
15.75X + 20.75y = 803.75
x = 45 - y
15.75(45 - y) + 20.75y = 803.75
708.75 - 15.75y + 20.75y = 803.75
708.75 + 5y = 803.75
5y = 95
y = 19
Edit: ffuuuuuu work windows calculator so slow
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10-01-2009, 12:52 PM
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#21
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bout 3.50
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10-01-2009, 12:53 PM
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#22
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The Guardian
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Quote:
Originally Posted by carinishead
^^^^ THIS
good work brn, thanks for coverin for me
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anytime bro
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10-01-2009, 12:59 PM
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#23
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Your Mind
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Quote:
Originally Posted by BRN
you change the
45=x+y into y=45-x
then you substitute it into the main formula which is 803.75=15.75x+20.75y
this will give you the following:
803.75= 15.75x+20.75(45-x)
then just solve for x, which is by doing the following:
803.75=15.75x+20.75*45-20.75x
then,
803.75=-5x+933.75
then (just rearrange the numbers),
933.75-803.75=5x
this will give you 130=5x
x=130/5= 26
now you have x, so just solve for y by substituting x=26 into the formula y=45-x
so y=45-26, which means y= 19
since x is the 2-layer cakes, mary have sold 26 2-layer cakes
and since y represents the 3-layer cakes, mary have sold 19 3-layer cakes.
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you guys saved my ass. reps on recharge.
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