Question

Zoey is playing an arcade

game. She needs to earn more
than 850 points to beat its
high score. So far, she has 75
points. She earns 25 points
each time she finishes a level.
Write an inequality to find
the number of levels, L, that
Zoey still needs
to beat to break
the record.

Answer 1

31 levels

Explanation:

Zoey already has 25 points

So she needs at least 850-25 more points to beat the high score

850-25 = 775

So Zoey needs at least 775 points more

Since she earns 25 points for each level, if she has to play L levels to beat the high score, she will need at least 25L points and that should be greater than or equal to 775

Therefore the inequality is
25L ≥ 775

Dividing by 25 on both sides of the inequality gives:

L ≥ 775/25

which simplifies to L ≥ 31

So Zoey needs at least 31 levels before she can break the record