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Answer :
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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