Question

the i. m. hipp tire company produces tires for cars and two wheel motorcycles. one week the company produced a total of 269 tires for 70 vehicles. this included a spare tire for each car but not for any motorcycle. how many motorcycle tires did the company produce that week

Answer 1

The company produced 27 motorcycle tires that week.

Explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of car tyres produced that week.

y is the number of motorcycle tyres produced that week.

70 vehicles:

This means that
`x + y = 70`

269 tires:

A car has four tyres, and an extra spare tyre is produced. So for each car, 5 tyres.

A motorcycle has two tyres. No spares are produced. So

`5x + 2y = 269`

We want to find y.

From the first equation:

`x = 70 - y`

Replacing in the second

`5(70 - y) + 2y = 269`

`350 - 5y + 2y = 269`

`3y = 81`

`y = (81)/(3)`

`y = 27`

The company produced 27 motorcycle tires that week.