Q9. - Algebra 1

Question

At a museum, each child admission costs $\mathbf{\backslash (}\mathbf{5}\mathbf{.}\mathbf{75}$ and each adult cost $\mathbf{\backslash )}\mathbf{8}\mathbf{.}\mathbf{25}$. How much does it cost a family that consists of 2 adults and 4 children?

$\mathit{A}\mathbf{ }\mathbf{\backslash (}\mathbf{34}\mathbf{.}\mathbf{50}$        $\mathit{B}\mathbf{ }\mathbf{\backslash )}\mathbf{44}\mathbf{.}\mathbf{50}$         $\mathit{C}\mathbf{ }\mathbf{\backslash (}\mathbf{39}\mathbf{.}\mathbf{50}$ $\mathit{D}\mathbf{ }\mathbf{\backslash )}\mathbf{49}\mathbf{.}\mathbf{50}$

Step-by-Step Solution

Answer

At museum, the cost of admission for a family which consist of 2 adults and 4 children is $\mathbf{\$}\mathbf{39}\mathbf{.}\mathbf{50}$.

Step 1. Find cost for adults.

For each adult, the admission cost at museum is $\$8.25$. For 2 adults, the cost will be

 $2\cdot 8.25=\$16.5$

Step 2. Find cost for children.

For each child, the admission cost at museum is $\$5.75$. For 4 children, the cost will be

$4\cdot 5.75=\$23$

Step 3. Find total cost.

The cost for a family which consist of 2 adults and 4 children is

$16.5+23=\$39.50$

Therefore, the cost for admission for a family which consist of 2 adults and 4 children is $\$39.50$. Option $C$ is the required answer.