Question

A local hamburger shop sold a combined of 686 hamburgers and cheeseburgers on Wednesday. There were 64 fewer cheeseburgers sold than hamburgers. How many hamburger were sold on wednesday

Answer 1

375 hamburgers were sold on Wednesday

Solution:

Let "h" be the number of hamburgers sold

Let "c" be the number of cheeseburgers sold

To find: number of hamburgers sold on Wednesday

Given that local hamburger shop sold a combined of 686 hamburgers and cheeseburgers on Wednesday

Therefore,

number of hamburgers sold + number of cheeseburgers sold = 686

h + c = 686 ------- eqn 1

There were 64 fewer cheeseburgers sold than hamburgers

Number of cheeseburgers sold = number of hamburgers sold - 64

c = h - 64 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

h + h - 64 = 686

2h - 64 = 686

2h = 686 + 64

2h = 750

h = 375

Thus 375 hamburgers were sold on Wednesday