SOLUTION: A fruit company delivers its fruit and two types of boxes large and small. A delivery of 2 large boxes and 12 small boxes has a total weight of 223 kg. A delivery of five large box
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Question 1172899: A fruit company delivers its fruit and two types of boxes large and small. A delivery of 2 large boxes and 12 small boxes has a total weight of 223 kg. A delivery of five large boxes and 3 small boxes has a total weight of 139 kg. How much does each type of box weigh? Answer by ikleyn(52778) (Show Source):
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A fruit company delivers its fruit in two types of boxes large and small. A delivery of 2 large boxes and 12 small boxes
has a total weight of 223 kg. A delivery of five large boxes and 3 small boxes has a total weight of 139 kg.
How much does each type of box weigh?
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From the condition, write two equations
2x + 12y = 223 (1)
5x + 3y = 139 (2)
Solve the system using the determinant method (the Cramer's rule)
x = = 18.5,
y = = 15.5.
ANSWER. 18.5 kg for a large box and 15.5 kg for a small box.
