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?)

Question

Mathematics

Desmond Carrillo

13 April, 17:12

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?)

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Answers (1)

Know the Answer?

Virginia Wright · 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.