Answer:
20 and 25.
Step-by-step 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 = [tex]x[/tex]
Then number of classes are taken by Erica = [tex]2x - 15[/tex] (given)
Total number of classes are taken by both = 45 (given)
According to the question.
[tex]x[/tex] + [tex]2x - 15[/tex] = 45
[tex]3x - 15 = 45[/tex]
By adding both side by 15
[tex]3x = 60\\[/tex]
By dividing both side by 3
[tex]x = 20[/tex]
number of classes are taken by Bo = [tex]x[/tex] = 20
number of classes are taken by Erica = [tex]2x - 15[/tex]
= [tex]2\times20 - 15 = 40- 15 = 25\\[/tex]
Therefore, number of classes are taken by Bo and Erica is 20 and 25.