Question

A wheelbarrow has one wheel and a wagon has 4 wheels. Each day, a company has 160 wheels which makes 70 garden vehicles. How many of each vehicle can the company make?

Answer 1

x = number of wheelbarrow = 40

y = number of wagon = 30

Explanation:

Let

x = number of wheelbarrow

y = number of wagon

x + y = 70 (1)

x + 4y = 160 (2)

subtract (1) from (2) to eliminate variable x

4y - y = 160 - 70

3y = 90

y = 90/3

y =30

Substitute y = 30 into (1)

x + y = 70 (1)

x + 30 = 70

x = 70 - 30

x = 40

x = number of wheelbarrow = 40

y = number of wagon = 30