Question

Roger has $5000 more invested at 7 1/4% then he has at 6%. If his total profit at the end of the year $659.30, how much has he invested at each rate?

Answer 1

You have the number of nickels and the number of quarters both expressed in terms of the number of dimes. So let your variable be the number of dimes. Call this D. Then the number of nickels is 4D, and the number of quarters is D+6. The total value is

0.10(D) + 0.05(4D) + 0.25(D+6) = 4.25

Solve this for D, and use D to find 4D and D+6.

Explanation: