help! don't understand this problem.

Question

Rachel's health-related budget is as follows:
-The percentage budgeted for health insurance is four times the percentage for health club dues.
-The percentage budgeted for prescriptions is equal to 1/4 the percentage budgeted for health insurance.
-The percentage budgeted for doctor visits is twice the percentage budgeted for prescriptions.

If $900 is budgeted for health-related expenses, how much is budgeted for health insurance?

Answer 1

Rachel,

 

There seem to be many kinds of health related expenses, totaling $900:

health insurance

health club dues

prescriptions

doctor visits

 

If we look backwards we can see that doctor visits are twice the percentage of prescriptions, which are 1/4 the percentage of health insurance which is four times the percentage for health club dues. So if we assign x to be health club dues that means

health insurance 4x
health club dues x
prescriptions x
doctor visits 2x

-----------------

totals $900=8x

So there is $112.5 set aside for health insurance.