SOLUTION: janet has 3 times as many dimes as nickles, and twice as many quarters as nickles. if she has $3.40 in all, how many nickles,dimes and quarters does she have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: janet has 3 times as many dimes as nickles, and twice as many quarters as nickles. if she has $3.40 in all, how many nickles,dimes and quarters does she have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 314705: janet has 3 times as many dimes as nickles, and twice as many quarters as nickles. if she has $3.40 in all, how many nickles,dimes and quarters does she have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = number of nickels
Let d = number of dimes
Let q = number of quarters
given:
d+=+3n
q+=+2n
5n+%2B+10d+%2B+25q+=+340 (in cents)
By substitution:
5n+%2B+10%2A%283n%29+%2B+25%2A%282n%29+=+340
5n+%2B+30n+%2B+50n+=+340
85n+=+340
n+=+4
and, since
d+=+3n
d+=+3%2A4
d+=+12
and
q+=+2n
q+=+2%2A4
q+=+8
She has 4 nickels, 12 dimes and 8 quarters
check:
5n+%2B+10d+%2B+25q+=+340
5%2A4+%2B+10%2A12+%2B+25%2A8+=+340
20+%2B+120+%2B+200+=+340
340+=+340
OK