Acommunity pool offers two types of memeberships: monthly and annual memberships. at the beginning of the year, the ratio of monthly to annual memeberships was 10: 3. however, the pool offered an incentive to have members move to the annual memebership. after the incentive, the ratio was 5: 8. if there were 50 monthly members after the incentive then how many monthly members were there before?

The number of monthly memberships before the incentive was 100

Step-by-step explanation:

Remember that

The total memberships after the incentive is equal to the total memberships before the incentive

step 1

Find out the annual memberships after the incentive

Let

x -----> monthly memberships after the incentive

y -----> annual memberships after the incentive

we know that

-----> equation A

substitute the value of x in equation A

step 2

Find out the total memberships after the incentive

step 3

Find out the monthly members before the incentive

Let

x -----> monthly memberships before the incentive

y -----> annual memberships before the incentive

we know that

-----> equation A

-----> equation B

substitute equation A in equation B and solve for x

therefore

The number of monthly memberships before the incentive was 100