In order to solve this problem, we need to use proportions.
Step 1
Identify the proportions:
The cost x of the game is equivalent to the whole cost, i.e., 1.
And the 36 dollars is equivalent to 3/4 of the whole cost.
So we have:
money in dollars fraction of the whole cost
x 1
36 3/4
Step 2
Cross multiply the values above and isolate x to obtain the value of x:
[tex]\begin{gathered} \frac{3}{4}x=1\cdot36 \\ \\ \frac{4}{3}\cdot\frac{3}{4}x=\frac{4}{3}\cdot36 \\ \\ x=4\cdot\frac{36}{3} \\ \\ x=4\cdot12 \\ \\ x=48 \end{gathered}[/tex]
Answer
Therefore, the cost of the game is
[tex]\$48[/tex]
