SOLUTION: David has 3 more dimes than nickels. He loses 2 dimes then counts his money and finds he has $3.10. How many nickels does David have? I keep getting a fraction with this. Thank

Algebra ->  Equations -> SOLUTION: David has 3 more dimes than nickels. He loses 2 dimes then counts his money and finds he has $3.10. How many nickels does David have? I keep getting a fraction with this. Thank      Log On


   



Question 123561: David has 3 more dimes than nickels. He loses 2 dimes then counts his money and finds he has $3.10. How many nickels does David have? I keep getting a fraction with this.
Thank you for your help.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
d+=+n+%2B+3
10d+-+20+%2B+5n+=+310
Substitute d in the 1st for d in the 2nd
10%28n+%2B+3%29+-+20+%2B+5n+=+310
10n+%2B+30+-+20+%2B+5n+=+310
15n+%2B+10+=+310
15n+=+300
n+=+20
He has 20 nickels
check answer
d+=+n+%2B+3
d+=+20+%2B+3
d+=+23
10d+-+20+%2B+5n+=+310
10%2A23+-+20+%2B+5%2A20+=+310
230+-+20+%2B+100+=+310
310+=+310
OK