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 [tex]x + y = 70[/tex]
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
[tex]5x + 2y = 269[/tex]
We want to find y.
From the first equation:
[tex]x = 70 - y[/tex]
Replacing in the second
[tex]5(70 - y) + 2y = 269[/tex]
[tex]350 - 5y + 2y = 269[/tex]
[tex]3y = 81[/tex]
[tex]y = \frac{81}{3}[/tex]
[tex]y = 27[/tex]
The company produced 27 motorcycle tires that week.
