SOLUTION: A collection of dimes and quarters is worth $5.45. There are 32 coins in all. How many of each type of coin are there? so for this one, i know that we should make D=dimes and

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Question 19684: A collection of dimes and quarters is worth $5.45. There are 32 coins in all. How many of each type of coin are there?

so for this one, i know that we should make D=dimes and Q=quarters.. but thats where my knowledge ends.

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let d represent the number of dimes and let q represent the number og quarters
d+q=32
q=37-d
dimes = 10 (x100)
quarters=25 (x100)
sum = 545(x100)
10d+25(32-d)=545
10d+800-25d=545
-15d=-255 (divide)
d=17
32-17=15... Therefore there are 17 dimes and 15 quarters