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
[tex]\frac{\text{2 cars}}{3\text{ trucks}}=\frac{x}{24\text{ trucks}}[/tex]Step 2
solve for x
[tex]\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}[/tex]Hence, the answer is 16
