SAT Math · Linear inequalities in one or two variables · easy

A delivery van can carry at most 5,000 pounds. If each package weighs 210 pounds on average, what is the maximum number of packages the…

A delivery van can carry at most 5,000 pounds. If each package weighs 210 pounds on average, what is the maximum number of packages the van can carry?

Answer and explanation

Answer: A: 23

Divide the weight limit by the weight of one package: 5000210≈23.81\frac{5000}{210} \approx 23.81. Only whole packages can be loaded, and the van cannot exceed its limit, so round down to 23. Check: 23 packages weigh 23×210=4,83023 \times 210 = 4{,}830 pounds, under the limit, while 24 packages weigh 5,0405{,}040 pounds, over the limit. That makes choice A correct. Choice B (24) comes from rounding to the nearest or rounding up, and it overloads the van. Choice C (23.8) is not a whole number of packages. Choice D (20) is safe but not the maximum, since three more packages still fit.

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