SOLUTION: Please, I need help with the following word problem regarding percentages. Can you please show your work so that I can understand the answer. Thank you: A club has 200 members.

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Question 892755: Please, I need help with the following word problem regarding percentages. Can you please show your work so that I can understand the answer. Thank you:
A club has 200 members. New members pay only $12 for a yearbook, but longtime members pay $20. As a result, all of the new members buy a yearbook, but only 60% of the longtiime members buy a yearbook. How much money is collected from the purchase of yearbooks?
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
x = long term members
y = new members
Immediately you can form .

You say, "all new members buy a yearbook", at $20 each.
You say, too, "60% of long termers buy...", at $12 each .

, using r for yearbook sales revenue.

This is nearly all that can be done. THREE unknown variables, but only two equations. You could use the member count equation to put r either in terms of x or in terms of y. You still have r as an unknown variable. You know also that x, y, and r will be whole numbers.

What more is in the description? Did you want maybe a graph of r versus x or y?