Question

Bo and Erica are yoga instructors. Between the two of them, they teach 45 yoga classes each week. If Erica teaches 15 fewer than twice as many as Bo, how many classes does each instructor teach per week

Answer 1

20 and 25.

Explanation:

Given:

They both teach total 45 yoga classes each week.

Erica teaches 15 fewer than twice as many as Bo.

To find:

How many classes does each instructor teach per week = ?

Solution:

Let number of classes are taken by Bo =
`x`

Then number of classes are taken by Erica =
`2x - 15` (given)

Total number of classes are taken by both = 45 (given)

According to the question.

`x` +
`2x - 15` = 45

`3x - 15 = 45`

By adding both side by 15

`3x = 60\\`

By dividing both side by 3

`x = 20`

number of classes are taken by Bo =
`x` = 20

number of classes are taken by Erica =
`2x - 15`

=
`2*20 - 15 = 40- 15 = 25\\`

Therefore, number of classes are taken by Bo and Erica is 20 and 25.