Math word problem

Question

Adult lessons are triple the cost of a student lesson. Ten adults and five students took lessons and the bill was $525. Find the cost of an adult lesson. Find the cost of a student lesson.

Answer 1

HI Maddie,

Let's use the variable, s, to represent the cost of one student lesson.

Since the cost of an adult lesson is triple that of a student lesson, we can write the following expression to represent the cost of an adult lesson: 3s

Because there were 10 adults and 5 students, we can multiply our expression for students by 5 and the expression for adults by 10 and write and solve the following cost equation:

5s + 10(3s) = 525

5s + 30s = 525

35s = 525

35s/35 = 525/35

s =$15

The cost of a student lesson is $15 . The cost of an adult lesson will be 3 times that or 3 * 15 = $45