SOLUTION: five apple pies and three ice cream sundaes cost $73. An apple pie and two ice cream sundaes cost $28.60. Find the cost of an apple pie and the cost of an ice cream sundae.

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: five apple pies and three ice cream sundaes cost $73. An apple pie and two ice cream sundaes cost $28.60. Find the cost of an apple pie and the cost of an ice cream sundae.      Log On

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Question 1027684: five apple pies and three ice cream sundaes cost $73. An apple pie and two ice cream sundaes cost $28.60. Find the cost of an apple pie and the cost of an ice cream sundae.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the cost of 1 apple pie
Let +s+ = the cost of 1 ice cream sundae
-----------------------------------
(1) +5a+%2B+3s+=+73+
(2) +a+%2B+2s+=+28.6+
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Multiply both sides of (2) by +5+
and subtract (1) from (2)
(2) +5a+%2B+10s+=+143+
(1) +-5a+-+3s+=+-73+
---------------------
+7s+=+70+
+s+=+10+
and
(1) +5a+%2B+3%2A10+=+73+
(1) +5a+=+43+
(1) +a+=+8.6+
-----------------
An apple pie costs $8.60
An ice cream sundae costs $10
---------------------------
check:
(2) +a+%2B+2s+=+28.6+
(2) +8.6+%2B+2%2A10+=+28.6+
(2) +28.6+=+28.6+
You can check (1)
OK