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

Algebra.Com
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)   (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
RELATED QUESTIONS

John has a collection of nickels,dimes, and quarters. Altogether, there are 241 coins... (answered by tommyt3rd)
A collection of quarters and nickels is worth $13.70. There are 106 coins in all. (answered by Fombitz)
A collection of quarters and nickels is worth $14.80. There are 88 coins in all. How... (answered by ewatrrr)
A collection of dimes and nickels is worth $9.50. There are 132 coins in all. How (answered by AlgebraLady88)
A parking meter contains dimes and quarters worth $15.25. There are 103 coins in all.... (answered by solver91311)
A collection of nickels and dimes is worth $1.85. There are 22 coins in all. How many of... (answered by jorel1380)
A collection of quarters and dimes is worth $4.35. There are 24 coins in all. How many of (answered by timvanswearingen)
In a collection of nickels, dimes, and quarters, there are twice as many dimes as nickels (answered by oberobic)
In a collection of nickels, dimes and quarters, there are twice as many dimes as nickels... (answered by ikleyn)