Question

The sophomore class is planning a picnic. The cost of a permit to use a city park is $250. To pay for the permit, there is a fee of $0.75 for each sophomore and $1.25 for each guest who is not a sophomore. 200 sophomores plan to attend. Write and solve an inequality to find how many guests must attend for the sophomore to pay for the permit.

Answer 1

x>= 40

Explanation:

250 <= .75*200 + 1.25x

solve for x

250 <= 150 + 1.25x

treat the <= just as you would an equal sign.

subtract 150 from both sides.

50 <= 1.25x

divide each side by 1.25

50/1.25 <= x

40 <= x