Question

At a football game, a vender sold a combined total of 244 sodas and hot dogs. The number of hot dogs sold was 42 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.

Answer 1

• 143 sodas
• 101 hot dogs

Explanation:

Given a total of 244 sodas and hot dogs sold, with sodas numbering 42 more than hot dogs, you want to know the number of each that were sold.

Setup

Let s represent the number of sodas sold. Then s-42 is the number of hot dogs sold, and the total sold is ...

s +(s -42) = 244

Solution

Add 42 and simplify

2s = 286

s = 143 . . . . . divide by 2

hot dogs = 143 -42 = 101 . . . . . figure the number of hot dogs

143 sodas and 101 hot dogs were sold.