SOLUTION: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 103 kilograms. A delivery of 3 large

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Question 883915: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 103 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 106 kilograms. How much does each type of box weigh
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the weight in kg of a large box
Let +b+ = the weight in kg of a small box
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(1) +5a+%2B+2b+=+103+
(2) +3a+%2B+8b+=+106+
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Multiply both sides of (1) by +4+
and subtract (2) from (1)
(1) +20a+%2B+8b+=+412+
(2) +-3a+-+8b+=+-106+
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+17a+=+306+
+a+=+18+
and
(1) +5%2A18+%2B+2b+=+103+
(1) +90+%2B+2b+=+103+
(1) +2b+=+13+
(1) +b+=+6.5+
The large box weighs 18 kg and
the small box weighs 6.5 kg
check:
(2) +3a+%2B+8b+=+106+
(2) +3%2A18+%2B+8%2A6.5+=+106+
(2) +54+%2B+52+=+106+
(2) +106+=+106+
OK