16Hit1600
AlgebraHardCrates that fit under a weight limit

Algebra practice question

A delivery van's load must not exceed 1,200 kilograms. It already carries 400 kilograms, and each crate to be added weighs 45 kilograms. What is the greatest number of crates that can be added?

Answer: 17

400 + 45c ≤ 1,200 gives 45c ≤ 800, so c ≤ 17.8: 17 crates.

Common wrong answers

If you answered 8
8 divides 400 by 45.
If you answered 18
18 crates would bring the load to 1,210 kg.
If you answered 26
26 divides 1,200 by 45, ignoring the existing load.

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