ACT Math · Ratios, rates, and percents

A model building is built at a scale of 1:50. If the model is 8 centimeters tall, how tall is the actual building, in meters?

A model building is built at a scale of 1:50. If the model is 8 centimeters tall, how tall is the actual building, in meters?

Answer and explanation

Answer: B: 4

A 1:501:50 scale means every length on the building is 5050 times its length on the model. The model is 88 cm tall, so the building is 8⋅50=4008\cdot50=400 cm tall. Convert to meters by dividing by 100100: 400÷100=4400\div100=4 meters, choice B. Choice D (400400) leaves the answer in centimeters, though the question asks for meters. Choice C (4040) divides by 1010 instead of 100100. Choice A (0.40.4) divides by 10001000. A four-meter building is short but reasonable for a model of a small structure, and the answer must be in the unit requested.

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