SOLUTION: The cost of an orange and an apple is 72 cents. The cost of an apple and a plum 36 cents. The cost of an orange and plum is 62 cents. What would the cost of 2 apples, 2 oranges, an

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Question 850424: The cost of an orange and an apple is 72 cents. The cost of an apple and a plum 36 cents. The cost of an orange and plum is 62 cents. What would the cost of 2 apples, 2 oranges, and 1 plum?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +o+%2B+a+=+72+
(2) +a+%2B+p+=+36+
(3) +o+%2B+p+=+62+
--------------------
There are 3 unknowns and 3 equations
so it is solvable
Subtract (2) from (1)
(1) +o+%2B+a+=+72+
(2) +-p+-+a+=+-36+
+o+-+p+=+36+
Add this result to (3)
+o+-+p+=+36+
(3) +o+%2B+p+=+62+
+2o+=+98+
+o+=+49+
and
(3) +o+%2B+p+=+62+
(3) +49+%2B+p+=+62+
(3) +p+=+13+
and
(1) +o+%2B+a+=+72+
(1) +49+%2B+a+=+72+
(1) +a+=+23+
--------------------
1 apple costs 23 cents
1 orange costs 49 cents
1 plum costs 13 cents
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2 apples cost 46 cents
2 oranges cost 98 cents
1 plum costs 13 cents
--------------------
The sum of the costs is:
+46+%2B+98+%2B+13+=+157+
$1.57 total