Question

There are 48 vehicles in the parking lot The ratio of SUVs to sedans is 6 to 2. How many SUVs and how many sedans are there in the parking lot?

Answer 1

`\begin{gathered} \text{If x are the number os SUVS and y the number of sedans, then} \\ 6x=2y \\ x=(2)/(6)y \\ x=(1)/(3)y \\ \\ \\ x+y=48 \\ (1)/(3)y+y=48 \\ (4)/(3)y=48 \\ \\ y=48\cdot(3)/(4) \\ y=36 \\ \\ \\ x+36=48 \\ x=48-36 \\ x=12 \\ \\ \text{ there are 12 SUVs and 36 sedans} \end{gathered}`