Question

yoga express charges a $30 membership fee and a $25 monthly fee. Beginners yoga charges an $80 membership fee and a $15 monthly fee. after how many months will the total amount of money paid to both yoga clubs be the same? what will the amount be?

Answer 1

Answer:

The amount of money paid to both yoga clubs will be the same after the fifth month, when the amount wil be of $155 in both options.

Step-by-step explanation:

1st Month:

-Yoga express: $30 membership fee + $25 monthly fee. Total spent: $55

-Beginners yoga: $80 membership fee + $15 monthly fee. Total spent: $95

2nd Month:

-Yoga express: $25 monthly fee. Total spent: $55 + $25 = $80

-Beginners yoga: $15 monthly fee. Total spent: $95 + $15 = $110

3rd Month:

-Yoga express: $25 monthly fee. Total spent: $80+ $25 = $105

-Beginners yoga: $15 monthly fee. Total spent: $110 + $15 = $125

4th Month:

-Yoga express: $25 monthly fee. Total spent: $105 + $25 = $130

-Beginners yoga: $15 monthly fee. Total spent: $125 + $15 = $140

5th Month:

-Yoga express: $25 monthly fee. Total spent: $130 + $25 = $155

-Beginners yoga: $15 monthly fee. Total spent: $140 + $15 = $155

The amount of money paid to both yoga clubs will be the same after the fifth month, when the amount wil be of $155 in both options.

Answer 2

30 + 25m = 80 + 15m
25m - 15m = 80 - 30
5m = 50
m = 10