(a) Let m = the amount a medium dog eats
so the total amount eaten by all the dogs is
22(m - 1/2) + 14m + 8(m + 3/4)
(b) so now solve for m in
22(m - 1/2) + 14m + 8(m + 3/4) = 72
and then you can find the amounts per dog size
A group of student volunteers at the animal shelter is helping feed the dogs. Each day, small dogs eat 1/2 cup less dog food than medium-sized dogs, and large dogs eat 3/4 cup more dog food than the medium-sized dogs. The shelter currently has 22 small dogs, 14 medium-sized dogs, and 8 large dogs.
a. Write an expression for the total amount of dog food the dogs eat each day. Explain what your variable represents and what each term in your expression represents.
b. The dogs eat 72 cups of dog food today. How much food was given to each dog?
1 answer