Question

5. Lauren has $50 to spend at the Strawberry Festival. She spends $ 10 on admission and $12 on strawberry shortcake. She wants to play an arcade game that costs $0.75 per game. Write an inequality to represent Lauren's situation. Find the maximum number of times, n, Lauren can play the game. Justify your answer.

Answer 1

For this case we have that Lauren's initial amount of money was $ 50, if he spends $10 and $12 on admission and strawberry pie respectively we have:

$50 - ($10 + $12) = $50- $22 = $28

That is, she has $ 28 left

n: Let the variable that represents the amount of games Lauren can play.

Then, it must be fulfilled that:

`0.75n \leq28\\n \leq \frac {28} {0.75}\\n \leq37.33`

Thus, Lauren can play 37 times the game (at most)

ANswer:

`n \leq37.33`

Thus, Lauren can play 37 times the game (at most)