Question

9. Josie has $30 to spend at a festival. It costs $5 to enter the festival, and the game she wants to play costs $1.40. Write the inequality and use it to determine the number of games (g) that Josie can play.

Answer 1

She has only $30 with her.

It will cost her $5 to enter the festival and the game she wants to play cost $1.40 .

let

g = number of games

Therefore, the inequality for the number of games she can play can be represented below

`\begin{gathered} 5+1.40g\leq30 \\ \text{where} \\ g=\text{ number of games she can play} \end{gathered}`

The number of games she can play can be calculated below

`\begin{gathered} 5+1.40g\leq30 \\ 1.40g\leq30-5 \\ 1.40g\leq25 \\ \text{divide both sides by }1.40 \\ g\leq(25)/(1.40) \\ g\leq17.8571428571 \\ g\leq17.86 \\ \text{she can only play approximately 17 games} \end{gathered}`