Ali was paid $75 for mowing a neighbor's yard. this is one fourth of the amount of money she earned all summer. how much did ali earn all summer? write and solve an equation.

At a salon, there are nail technicians and hair stylists. the salon owner wants to expand, but can only afford to add no more than 9 new positions. a typical nail technician can see 10 clients per day. a typical hair stylist can see 15 clients per day. the salon owner hopes to be able to see more than 100 clients per day. the new positions constraint is represented by x + y ≤ 9, where x represents the number of nail technicians and y represents the number of hair stylists. find the inequality representing the clients constraint for this situation.