SOLUTION: Hi, I tried this question out a bunch of times, but I can't find the answer. Here is the question: "Mark has 26 nickels, dimes and quarters, altogether totaling $3.00. He has twi

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Hi, I tried this question out a bunch of times, but I can't find the answer. Here is the question: "Mark has 26 nickels, dimes and quarters, altogether totaling $3.00. He has twi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 547950: Hi, I tried this question out a bunch of times, but I can't find the answer. Here is the question: "Mark has 26 nickels, dimes and quarters, altogether totaling $3.00. He has twice as many dimes as
nickels. Find the number of each coin that he has"
And I was taught not to do q for quarters, d for dimes, or n for nickels. here is an example.
" A student has $5.90 in dimes and quarters. There are 32 coins altogether. How many of each coin
does the student have?"
the let statements I would write would be:
Let x= dimes
Let 32-x= quarters.
Sorry if this is confusing but I would like if you could try to help. You can do the q, d, or n, but if you could do it the way i learned it that would really help.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I personally like the q,d,n method but I can do it
the other way, too.
There are 26 coins, and it is given:
+d+=+2n+, so I now have
+n+%2B+2n+%2B+q+=+26+ ,
+3n+%2B+q+=+26+
q+=+26+-+3n+ , so now I have
n, 2n, 26 - 3n instead of n, d, and q
Now I can say
+5n+%2B+10%2A2n+%2B+25%2A%28+26+-+3n+%29+=+300+ ( all in cents )
+5n+%2B+20n+%2B+650+-+75n+=+300+
+-50n+=+300+-+650+
+-50n+=+-350+
+n+=+7+
and, there are 2n dimes, so
+d+=+14+
and
+26+-+%28+14+%2B+7+%29+=+5+ quarters
There are 7 nickels, 14 dimes, and 5 quarters
check answer:
+5%2A7+%2B+10%2A14+%2B+25%2A5+=+300+
+35+%2B+140+%2B+125+=+300+
+300+=+300+
OK