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Pizzas - Ratio

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Pizzas - Ratio

by pandeyvineet24 » Sun Oct 25, 2009 1:02 pm
The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 7 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?

18.25
18.5
18.75
19
19.25

Another good one from magoosh.com, so sharing again.
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by truplayer256 » Sun Oct 25, 2009 1:23 pm
C flour is used to make each cupcake and P flour is used to make each pizza. Therefore:

15C+8P=7C+14P

8C=6P

C=3P/4

Substitute C=3P/4 into any of the two expressions given in the problem to come up with an answer of how many pizzas can be made with a full sack of flour.

Let's use the first expression:

15(3P/4)+8P=77P/4=19.25P

19.25 pizzas can be made with a full sack of flour.
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