On a cruise ship, there are massage therapists and chefs. To give one hour of massage, massage therapists need to receive a 15 minutes massage and eat a plate of food. To cook 10 plates of food, chefs need to receive a half hour massage and eat a plate of food.

a)Overall, suppose the cruise ship provides its guests with 100 hours of massage and a huge buffet with 500 plates of food. The cruise accountant wants to know the total hours of massage given and plates of food cooked on the ship. Express this system with equations, specifying what each variable represents.

b)What would you tell the cruise accountant?

c)How many plates of food are eaten by massage therapists? How many hours of massage do chefs get?