Question

Gary exercises 1.75 hours on Mondays, Wednesdays, and Saturdays. How many weeks will it take Gary to exercise a total of 21 hours?

Answer 1

For this case, the first thing we must do is define variables.

We have then:

x: number of days

y: total hours

The equation modeling the problem is given by:

$y = 1.75x$

Substituting for y = 21 hours we have:

$21 = 1.75x$

From here, we clear the value of x:

$x = 21 / 1.75\\x = 12 days$

It takes Gary 12 days to train 21 hours.

We know that Gary trains 3 days a week.

Therefore, the number of weeks is given by:

$n = 12/3 n = 4$

Answer:

it will take Gary 4 weeks to exercise a total of 21 hours

Answer 2

To solve this, just solve $\frac{21}{(1.75)(3)}$ and you get 4.