SOLUTION: Sherlock is hunting a theif who has stolen 40 coins, in quarters, dimes, and nickels. He has figured out the coins add up to $7.25. There are 10 more quarters then there are dime
Question 1074577: Sherlock is hunting a theif who has stolen 40 coins, in quarters, dimes, and nickels. He has figured out the coins add up to $7.25. There are 10 more quarters then there are dimes and nickels combined. How many of each coin where stolen? Answer by ikleyn(52921) (Show Source):
N = # of nickels.
D = # of dimes.
Then the number of quarters is N + D + 10.
Equations:
N + D + (N+D+10) = 40, (1) (coins)
5N + 10D + 25(N+D+10) = 725 (2) (cents)
I just explained to you how to solve the problem:
- write the system in the standard for;
- simplify it;
- then apply the substitution method.
I assume that you are smart enough (by solving the problems of the Sherlock level !), so I hope you will be able to complete it on your own.
