SOLUTION: bob has $14.25 in quarters and dimes, there are 75 coins in total. How many quarters/dimes are there. Use an equation. Show your work.

Question 1016391: bob has $14.25 in quarters and dimes, there are 75 coins in total. How many quarters/dimes are there. Use an equation. Show your work.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the amounts of quarters and dimes, q and d. Then we have
q + d = 75 and the value equation is
25q + 10d = 1425 (we work in cents)
Now multiply the top one by ten and subtract...we get...
25q + 10d = 1425
-(10q + 10d = 750)
-----------------
15q = 675
q = 45 quarters so that you also have
d = 30 dimes
RELATED QUESTIONS
Bob has $2.30 in pennies , dimes and quarters he has 17 coins in total the amount of... (answered by Cromlix)

Randy has 2.75 in dimes and quarters there are 14 coins in total find how many dimes and... (answered by Alan3354)

Michelle has a jar of quarters and dimes to totaling to 3.10 . If there are sixteen coins (answered by algebrahouse.com)

50 coins in dimes and quarters have a total value of $11.00. How many dimes and quarters... (answered by josgarithmetic,greenestamps)

Coins in a store's register total $12.50. The register only has nickels, dimes, and... (answered by stanbon)

$4 total in dimes and quarters, and there is a total of 25 coins. How many dimes and... (answered by swincher4391,Alan3354)

A change box contains $36.25 in dimes and quarters. There are 250 coins in total. How... (answered by josgarithmetic)

There are dimes and quarters in a box. There are 28 more quarters than dimes. There is... (answered by addingup)