Question

The student council is selling tickets to a school dance. One teacher decides to pay $10 for his class, and the students in the class have to pay $2 each. Another teacher pays $25 for her class, and the students only have to pay $1 each. Assuming both classes have the same number of students, how many students are in each class and how much did each class pay in total (including the teachers' money?)

Answer 1

Hi,

x + y = 350                    (equation 1)

3x + 2y = 950                 (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.