# Question #f63ce

Dec 4, 2016

28

#### Explanation:

$5 : 7$ is the ratio between bicycles and buses, not their actual number.

Their actual number will be a multiple of these numbers.

What I mean is that the number will be $5 x$ bicycles and $7 x$ buses, where $x$ is any whole number.

Then, the total number of vehicles is $5 x + 7 x = 12 x$, which in this case is $48$.

So,
$12 x = 48$

Dividing both sides by 12,

$x = \frac{48}{12}$

Therefore, $x = 4$.

Now, the number of buses is $7 x$, $7 \times 4 = 28$.