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.

Question

Mathematics

Tania Wright

11 January, 22:36

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.

+3

Answers (2)

Know the Answer?

London Kirby · 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.

Pham · Answer 2

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