SOLUTION: A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank?      Log On


   

Question 55407This question is from textbook
: A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank? This question is from textbook

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
n + d + q = 36
d = q + 4
n = 2q
Substitute the 2nd and third equations into the 1st so that you have ONLY the q to solve for.
+n+%2B+d+%2B+q+=+36+
+2q+%2B+q+%2B+4+%2B+q+=+36+
+4q+%2B+4+=+36+
+4q+=+32+
+q+=+8+

now plug 8 into the 3rd equation
+n+=+2q+
+n+=+2%288%29+
+n+=+16+

now plug n and q into the 1st equation
+n+%2B+d+%2B+q+=+36+
+16+%2B+d+%2B+8+=+36+
+24+%2B+d+=+36+
+d+=+12+
d = 12
n = 16
q = 8
total = 36