AlgebraVery hardGreatest number of crates under a weight limit
Algebra practice question
A truck can carry at most 2,000 kilograms. It is loaded with crates weighing 60 kilograms each and boxes weighing 25 kilograms each, with twice as many boxes as crates. What is the greatest number of crates the truck can carry?
Answer: 18
With c crates and 2c boxes, 60c + 25(2c) = 110c ≤ 2000, so c ≤ 18.18, and the greatest whole number is 18.
Common wrong answers
- If you answered 19
- 19 rounds up and exceeds the limit.
- If you answered 33
- 33 ignores the boxes.
- If you answered 36
- 36 is the number of boxes.
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