Question

Raul is paid $75 per week plus $5 for each new gym membership he sells. He may switch to a gym that pays $50 per week and $7.50 for each new membership. How many memberships per week does Raul have to sell for the new gym to be a better deal for him?

Answer 1

Answer:
11 memberships

Step-by-step:
Gym 1 = 75+5m
Gym 2 = 50+7.5m

75+5m=50+7.5m
-50 from both sides
25+5m=7.5m
-5m from both sides
25=2.5m
divide both sides by 2.5
10=m
for 10therefor 75+5m<50+7.5m he must sell 11 memberships.