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Pizzas and cupcakes

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by Brent@GMATPrepNow » Sun Dec 21, 2008 9:54 am
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?
A) 18 1/4
B) 18 1/2
C) 18 3/4
D) 19
E) 19 1/4
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by ronniecoleman » Sun Dec 21, 2008 10:03 am
he 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?
A) 18 1/4
B) 18 1/2
C) 18 3/4
D) 19
E) 19 1/4

15x+ 8y= 7x+ 14y

8x= 6y
4x=3y

so entire content: 45/4 y + 8y
77/4 y
so 77/4

E
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by mals24 » Sun Dec 21, 2008 10:06 am
15 C + 8P = F

7 C + 14 P = F

8C = 6P
4C=3P
C = 3/4P

21/4P+14P = F
21P+56P/4 = F

77/4 = 19(1/4).
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by Brent@GMATPrepNow » Sun Dec 21, 2008 10:22 am
The answer is E
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