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HERE IS THE QUESTION

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by nolf » Tue Jan 13, 2009 11:53 am
Hi

can anyone help me in this....

According to directions on a can juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice... How many 12 ounce cans are required to make 200 6 ounce servings of orange juice

a) 25
b) 34
c) 50
d) 67
e) 100
Harsha
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Source: — Problem Solving |

by Mr2Bits » Tue Jan 13, 2009 12:04 pm
So they want to know how many cans of concentrate it takes to make 1200 ounces of juice

So from the ratio, we know that 1 in 4 cans in the total mix is concentrate.

So we need to isolate how much concentrate is within the juice. Lets divide 1200oz/4oz = 300 oz of concentrate within the juice.

300/12oz per can of concentrate = 25 12oz cans of concentrate

Answer is A

I converted concentrate to gin and juice to tonic to make it easier mentally, the lime is isolated
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by aroon7 » Tue Jan 13, 2009 8:15 pm
conc : water = 1:3

say 'n' is the number of cans
we have:
12(n) oz of conc. and 36n oz of water and get 200(6) oz of juice

(36n oz of water becos we mix 3 times conc)

ie
12n+ 36n = 200*6
solving for n we get 25
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