Question

Lisa saving money to buy a game so far she has save $36 which is 3/4 of the total cost of the game how much does a game cost

Answer 1

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:

`\begin{gathered} (3)/(4)x=1\cdot36 \\ \\ (4)/(3)\cdot(3)/(4)x=(4)/(3)\cdot36 \\ \\ x=4\cdot(36)/(3) \\ \\ x=4\cdot12 \\ \\ x=48 \end{gathered}`

Answer

Therefore, the cost of the game is

`\$48`