Question

chcetoomA ALEKS - Naomi Megson- Knowl Xales.com/aleks.cgi/store/10_u-ig Nistkr7jBP3jH-10-ZCHOJf4Hs0Qg9FsejpgqKoyrQrB2dKVANSJ 1Z3 poqH6ZDOLWdQIOHhxQ/Walfpa508dVWgnDXitoy2791R-12wo?10Bw7Qyj|bavbSPXtx-YCjsh_7mMmrqmassessKnowledge CheckQuestion 8Naomi vNaomi vEspanolTony is saving money to buy a game. So far he has saved $30, which is two-thirds of the total cost of the game. How much does the game cost?

Answer 1

Let 'x' represents the total cost of the game.

We were told that 2/3 of the total cost of the game is $30.

Mathematically,

$\frac{2}{3}ofx=\text{ \ 30}$

Let us now solve for x, which is the total cost of the game,

$\begin{gathered} \frac{2}{3}\times x-=\text{ \ 30} \\ \frac{2x}{3}=\text{ \ 30} \\ \text{cross multiply} \\ \end{gathered}$$\begin{gathered} 2x=\text{ \ 30}\times3 \\ 2x=\text{ \ 90} \\ \text{Divide both sides by 2} \\ \frac{2x}{2}=\text{ }\frac{\text{\ 90}}{2} \\ x=\text{ \ 45} \end{gathered}$

Hence, the total cost of the game is $45.