Question

15. Richie and Justin are doing house renovations for Kirk. Kirk has promised them at least 20 total hours of

work per week, but can pay them no more than $1,200 per week of total wages, Richie makes $25 per hour
and Justin makes $45 per hour.
Letting x be the number of hours Richie works and y be the number of hours Justin works, write a system of
inequalities that models this situation.

Answer 1

25x + 45y ≤ 1,200

25x representing how much Richie would get paid in total (x representing the hours), 45y representing how much Justin would get paid in total (y representing the hours), ≤ representing less than or equal to, 1,200 is the greatest amount that Kirk can pay.