Question

At the Howelton Hot Dog Happiness competition, Olaf eats five fewer than triple the hot dogs Alfred eats. Olaf eats 67 hot dogs. Alfred eats "a" hot dogs. How many does Alfred eat? Have to do PEMDAS backwards, just need help setting up the equation.

Answer 1

Alfred ate 24 hot dogs.

Explanation:

Let the number of hot dog ate by Olafs be represented by b.

Since Olafs eats five fewer than triple the hot dogs Alfred eats, and Alfred ate a hot dogs. This can be expressed in a mathematical equation as follows;

b = 3a - 5

But Olafs eats 67 hot dogs, so that b = 67. Thus;

b = 3a - 5

67 = 3a - 5

67 + 5 = 3a

3a = 72

divide both sides by 3 to have;

a =
`(72)/(3)`

a = 24

Alfred ate 24 hot dogs.