Could you please help me solve the below questions:

3. (15 points) On a cruise ship, there are massage therapists and chefs. To give one hour of massage, massage therapists need to receive a 15 minute 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) (4 points) 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 equa- tions, specifying what each variable represents. b) (4 points) What would you tell the cruise accountant? c) (2 points) How many plates of food are eaten by massage therapists? How many hours of massage do chefs get? Now suppose massage therapists no longer eat one plate of food per hour of massage they give. Instead, if massage therapists give m hours total of massage, they need to eat 27 1150 T" ' 7% plates of food total. They also still need to receive a 15 minute massage each hour of massage given. The requirements of chefs and guests remain the same. d) (5 points) Rewrite the system. Now how many total plates of food are eaten by massage therapists