Birthday Present (Dimes, Quarters)

Hartley and Bertha are pooling their money to buy their mother a birthday present. (Her birthday, by coincidence, turned out to be the day she was elected to the school board.) The two have $20.25 between them. Hartley has all of his money in dimes and Bertha’s is in quarters. Hartley has twice as many dimes as Bertha has quarters. How much money is Hartley contributing?

Show/Hide Solution

Say Hartley has 2x dimes and Bertha has x quarters. Then their money is 2x(0.10) + x(0.25) = 20.25, or 20x + 25x = 202545x = 2025x = 45. So Bertha has 45 quarters and Hartley has 90 dimes.

Check:  45(0.25) =  11.25
  90(0.10) =  9.00

Leave a Reply

Your email address will not be published. Required fields are marked *