SOLUTION: Together, a mango and a pineapple weigh 1.25 pounds. A mango and an apple weigh 1.35 pounds together, and the apple and pineapple weigh 1.9 pounds together. How much does each pi

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Question 959543: Together, a mango and a pineapple weigh 1.25 pounds. A mango and an apple weigh 1.35 pounds
together, and the apple and pineapple weigh 1.9 pounds together. How much does each piece of fruit weigh?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = the weight of a mango
Let +p+ = the weight of a pineapple
Let +a+ = the weight of an apple
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(1) +m+%2B+p+=+1.25+
(2) +m+%2B+a+=+1.35+
(3) +a+%2B+p+=+1.9+
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This is 3 equations and 3 unknowns,
so it's solvable
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Subtract (1) from (2)
(2) +m+%2B+a+=+1.35+
(1) +-m+-+p+=+-1.25+
----------------------
+a+-+p+=+.1+
Add this result to (3)
+a+-+p+=+.1+
+a+%2B+p+=+1.9+
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+2a+=+2+
+a+=+1+
and
(2) +m+%2B+a+=+1.35+
(2) +m+%2B+1+=+1.35+
(2) +m+=+.35+
and
(3) +a+%2B+p+=+1.9+
(3) +1+%2B+p+=+1.9+
(3) +p+=+.9+
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The weight of a mango is .35 pounds
The weight of a pineapple is .9 pounds
The weight of an apple is 1 pound
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check:
(1) +m+%2B+p+=+1.25+
(1) +.35+%2B+.9+=+1.25+
(1) +1.25+=+1.25+
You can check the other equations