rnaah wrote:According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
Let C = concentrate and W = water.
Since 1 can of concentrate is needed for every 3 cans of water, C:W = 1:3.
Use a ratio box:
____________C____W____Total
Ratio:_______1____3_____4
Multiplier:
Actual:_________________1200
In the top row, put the ratio (C:W = 1:3).
The last column is the total: 1+3 = 4.
In the bottom row, put any known values.
The total volume of juice to be produced = 200*6 = 1200 ounces.
Put this value in the bottom right box under "Total".
To determine the middle row -- the multiplier -- divide the known actual value (1200) by its corresponding value in the top row (4):
1200/4 = 300.
The multiplier is placed in every column along the middle row:
____________C____W____Total
Ratio:_______1____3______4
Multiplier:__300__300____300
Actual:_________________1200
Now complete the box by multiplying every value in the top row by the multiplier:
____________C_____W______Total
Ratio:_______1____3______4
Multiplier:__300__300____300
Actual:_____300__900____1200
Thus, the amount of concentrate needed = 300 ounces.
Since each can is 12 ounces, the number of cans needed = 300/12 = 25.
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