Question

The theater departments at Hillcrest and Mauldin are trying to make more money from their school
play this year. Both schools had 500 people attend the play last year at $5 at ticket. Hillcrest plans to raise
their price by $1 , but will lose 25 people. Mauldin plans to raise their price by 50 cents, and will only lose 10
people. How many price increases will give both schools the same amount of revenue?
Hillcrest Equation_______________ Mauldin equation________________
How many price increases? ___________

Answer 1

The wording is not very clear.
You probably meant: a loss of 25 people for every 1 dollar increase, and a loss of 10 people for every 50cents increase for the corresponding schools. In that case ....

number of price increases ----- n

income for Hillcrest = (5+n)(500 - 25n)
income for Mauldin = (5 + n/2)(500-10n)

you want: (5+n)(500 - 25n) = (5 + n/2)(500-10n)
expand and solve for n

You will not get a whole number for n, which is what I had expected
Are you supposed to round off ?