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

Answer:

The company produced 27 motorcycle tires that week.

Step-by-step 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

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

$350 - 5y + 2y = 269$

$3y = 81$

$y = \frac{81}{3}$

$y = 27$

The company produced 27 motorcycle tires that week.