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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting

60 large boxes and 65 small boxes. If the truck is carrying a total of 4325 pounds in boxes, how much does each type of box weigh?

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Answer:
The answer is: Large boxes are 45 pounds and Small boxes are 30 pounds.
Explanation:
Let l = large box and s = small box.
One large box and one small box is equal to 75 lbs.
l + s = 75
Solve for s:
s = 75 - l
55 large boxes plus 70 small boxes weighs 4575 lbs.
55l + 70s = 4575
Substitute:
55l + 70(75-l) = 4575
55l + 5250 - 70l = 4575
-15l = -675
l = 45 lbs.
s = 75 - l = 75 - 45 = 30 lbs.
Proof:
55(45) + 70(30) = 4575
2475 + 2100 = 4575
4575 = 4575
Hope this helps! Have a great day!

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