Question

You and a friend are at the local bakery ordering desserts for presents. You order 4 cakes and 3 pies for $46.50.
Your friend orders 3 cakes and 2 pies for $33.00. How much is each pie? How much is each cake?

Answer 1

The cost of each pie is; $6

The cost of each cake is; $7.5

Let the cost of cake be C and let the cost of pie be P.

If you order 4 cakes and 3 pies for $46.50, then;

4C + 3P = 46.5 - - - (eq 1)

Your friend orders 3 cakes and 2 pies for $33. Thus;

3C + 2P = 33 - - - - (eq 2)

Multiply eq 2 by 3 and eq 1 by 2 to get;

8C + 6P = 93 - - -(eq 3)

9C + 6P = 99 - - - (eq 4)

Subtract eq 3 from eq 4 to get;

C = $6

Thus;

3(6) + 2P = 33

18 + 2P = 33

2P = 15

P = $7.5

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