Question

Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn at least $170. If xx represents the number of hours lifeguarding and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

Answer:

$x = 4\\y = 9$ hours

Step-by-step explanation:

Given -

x represents the number of hours lifeguarding and y represents the number of hours landscaping

$x+ y = 13$ -----Eq ( 1 )

and

$20 * x + 10 * y = 170$ -----Eq ( 2 )

Substituting the value of $x = 13-y$ in equation 2, we get -

$20* (13 - y) + 10 y = 170$

$260 - 20 y + 10 y = 170\\10y = 90\\y = 9$

$x = 13-9 = 4$