Question

Find the cost of a child’s ticket last year if the costof a child’s ticket for a museum is lowered by $\backslash (3$ from last year. An adult’s ticket still costs $\backslash )12$. A family of $2$ adults and $2$ children pay $\$38$ to go to the museum this year.

Short answer

The cost of the child’s ticket last year is $\$10$.

Step-by-step solution

Step 1.  Apply the concept of Linear equation

In this type, use the concept of making a linear equation and use the distributive property.

Step 2.  Finding the equation for the question

Since, the total cost of ticket this year is$\$38$ for $2$ adults and $2$ children and the cost of adult ticket is $\$12$.

Let the cost of a child’s ticket be $x$, then the equation for total cost:

$\begin{array}{l}2\left(12\right)+2x=38\\ 24+2x=38\end{array}$

Step 3.  Solving the equation to get the solution

Since, the equation is $24+2x=38$.

Simply, add $24$to both side of the equation to get the solution,

$\begin{array}{l}24+2x=38\\ 24+2x-24=38-24\\ 2x=14\\ x=\frac{14}{2}\\ x=7\end{array}$

The cost of a child’s ticket this year is $\$7$.

So, the last year the cost is $\$3$ more, therefore, the last year cost will be $\$3+\$7=\$10$.