Question

Jamaal has 20 models of planes and cars. He has three times as many cars as planes. What is the ratio of his cars to total models?1:43:13:44:3

Answer 1

We know that

There are 20 models in total.

He has three times as many cars as planes.

The first statement can be expressed as

$x+y=20$

The second statement can be expressed as

$y=3x$

Where y represents cars and x represents planes.

Now, we combine the equations

$\begin{gathered} x+y=20 \\ x+3x=20 \\ 4x=20 \\ x=\frac{20}{4} \\ x=5 \end{gathered}$

Then, we find y

$y=3\cdot5=15$

As you can observe there are three times more cars than planes, which means the ratio is 3:1.