Question

Your school is planning a fundraising dinner. The expense for this event must not exceed $2,475.00. The team organizing the event has calculated that the cost per adult guest will be $18.00 and the cost per child guest will be $9.00. The venue can hold no more than 150 guests.

a. Write a system of inequalities that represents this situation.

Answer 1

x is the number of adults attending the event
y is the number of children attending the event.

x + y <= 150 is one equation.
18x + 9y <= 2475 is the other equation.

x >= 0 is another equation that is implied because the number of adults can't be less than 0.

y >= 0 is another equation for the same reason as in x >= 0.

Answer 2

18 per adult, 9 per child total equals 2,475,00 and the hold of guest is 150