Algebra Challenge: The Shipping Company’s Puzzle
A shipping company is organizing deliveries using two types of trucks:
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Small trucks, which can carry 120 boxes each.
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Large trucks, which can carry 250 boxes each.
The company dispatched 80 trucks in total to deliver 16,200 boxes. The cost to operate a small truck is $600 per trip, while the cost to operate a large truck is $1,200 per trip. The total cost for all trucks combined was $72,000.
Using x to represent the number of small trucks and y to represent the number of large trucks, set up a system of equations and solve for x and y.
Hint:
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One equation should represent the total number of trucks.
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Another equation should represent the total number of boxes delivered.
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A third equation should represent the total cost of all trucks.
