Question

examine the worked example. then, answer each question.
mr. ivey teaches dance at the middle school. his classes are 90 minutes long, and he spends 94% of class time teaching strength and conditioning. how many minutes do mr. ivey’s students spend on strength and conditioning in each class?
write a proportion to represent the problem. let n represent the amount of time the students spend on strength and conditioning each class.
blank minutes spent on strength and conditioning / blank total minutes = blank/100
100(blank) = blank
n = blank
the students spend blank minutes each class on strength and conditioning.

Explanation:

Step1: Set up the proportion

The proportion for percentage is \(\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}\). Here, the part is \(n\) (time on strength - conditioning), the whole is \(90\) (total class time), and the percent is \(94\). So the proportion is \(\frac{n}{90}=\frac{94}{100}\).

Step2: Cross - multiply

Cross - multiplying gives \(100n = 94\times90\).

Step3: Solve for \(n\)

First, calculate \(94\times90=8460\). Then, \(n=\frac{8460}{100}=84.6\).

Answer:

The proportion is \(\frac{n}{90}=\frac{94}{100}\), \(100n = 94\times90\), \(n = 84.6\). The students spend \(84.6\) minutes each class on strength and conditioning.