Question

the ratio of cars to trucks on the parking lot is 2:3 there are 24 trucks on the lot what is the total number of vehicles on the parking lot

Answer 1

x=16

Explanation

the ratio is 2:3

it means for every 2 cars, there are 3 trucks

Now, it the total of trucks is 24,the proportion must be the same, so

Step 1

Let

x represents the number of cars for 24 trucks

$\frac{\text{2 cars}}{3\text{ trucks}}=\frac{x}{24\text{ trucks}}$

Step 2

solve for x

$\begin{gathered} \frac{\text{2 cars}}{3\text{ trucks}}=\frac{x}{24\text{ trucks}} \\ 2\cdot24=3\cdot x \\ x=\frac{2\cdot24}{3} \\ x=\frac{48}{3} \\ x=16 \end{gathered}$

Hence, the answer is 16