Question

Pam expected the new edition of her favorite video game, Solar Y, to sell for $45. Her prediction was 12.5% higher than the game's actual cost. What was the actual cost of the game?

Answer 1

To find the actual cost of the game, calculate 100% of the cost by dividing Pam's prediction of $45 by 1.125. The actual cost of the video game Solar Y was $40.

Step-by-step explanation:

In order to find the actual cost of the video game Solar Y, we need to determine what 100% of the cost would be, given that Pam's prediction was at 112.5% of the actual cost (100% + 12.5% extra). To do this, we take Pam's predicted price of $45 and work backwards to find the actual price by dividing by 1.125 (or 112.5% expressed as a decimal).

Here is the step-by-step calculation:

Therefore, the actual cost of the game was $40.

Answer 2

well, the actual cost of it was 12.5% of 45 less, hmmm what's 12.5% of 45?

`\begin{array}ll \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12.5\% of 45}}{\left( \cfrac{12.5}{100} \right)45} ~~ \approx ~~ 5.63~\hfill \stackrel{45~~ - ~~5.63}{\approx\text{\LARGE 39.37}}`