Question

Max and Sasha exercise a total of 20 hours each week. Max exercises 15 hours less than 4 times the

number of hours Sasha exercises. The system of equations shown below represents this situation, where

x represents the number of hours Max exercises and y represents the number of hours Sasha exercises.

How many hours do Max and Sasha exercise per week?

(x + y = 20

x - 4y =-15

Max exercises

hours a week and Sasha exercises

hours a week.

Answer 1

Answer:

Max exercises 13 hours a week, and Sasha 7.

Step-by-step explanation:

To find the number of hours each of them exercises during the week, we solve the system of equations.

In the second equation:

$x = 4y - 15$

Replacing in the first equation:

$x + y = 20$

$4y - 15 + y = 20$

$5y = 35$

$y = \frac{35}{5}$

$y = 7$

So Sasha exercises 7 hours per week.

Max:

$x + y = 20$

$x + 7 = 20$

$x = 13$

Max exercises 13 hours a week.