Question

A ski shop carries skis that are between 150 and 220 cm long. They recommend that the skis be 1.25 times longer than your height. By writing an inequality to model this situation, calculate the difference between the tallest person and the shortest person who can rent skis here.

________ cm

Answer 1

56 cm

Explanation:

Here's what the question is asking for.

150 ≤ 1.25h ≤ 220

120 ≤ h ≤ 176 . . . . the range of heights that can use the skis

176 -120 = 56 cm . . . . the difference in heights

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Here's an easier way to calculate it.

220/1.25 -150/1.25 = (220 -150)/1.25 = 70/1.25 = 56

The height difference is 56 cm.

_____

We judge one subtraction and one division to be easier and less error-prone than two divisions and a subtraction.