SOLUTION: Omar has $4.65 in dimes and quarters. The number of dimes is 6 less than the number of quarters. How many of each coin does he have?

Algebra.Com
Question 1154129: Omar has $4.65 in dimes and quarters. The number of dimes is 6 less than the number of quarters. How many of each coin does he have?
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

Add 6 dimes to the collection (mentally).


Then the collection will have equal number of dimes and quarters and be worth 465 + 6*10 = 525 cents.


Hence, you can group all coins in this new collection in pairs, 1 dime + 1 quarters in each pair.


Each pair is worth 25+10 = 35 cents, and the number of these pairs is  525/35 = 15.


Hence, the original collection had 15 quarters and 15-6 = 9 dimes.    ANSWER

Solved.


RELATED QUESTIONS

taylor has $3.15 in dimes and quarters. the sum of dimes is 7 more than the number of... (answered by Alan3354)
2.) Jill has $2.30 in dimes and quarters. The number of dimes is 5 less than the number... (answered by stanbon)
A collection of coins consisting of quarters and dimes amounts to $7.65. twice the... (answered by CubeyThePenguin)
A box contains $6.60 in nickels, dimes and quarters. There are three times as many... (answered by macston)
Sarah has $14.80 in dimes and quarters. The number of quarters is two less than three... (answered by addingup)
Dylan has $1.15 in quarters, pennies, and dimes. If he has three times as many pennies as (answered by josmiceli)
Hello, my question is: Howard has $2.05 in quarters and dimes. He has 4 more quarters... (answered by mananth,oberobic)
Max has $2.15 in dimes and quarters. The number of dimes is 2 more than 4 times the... (answered by lwsshak3)
Gertie has $9.20. All of her coins are dimes and quarters. The number of quarters is 1... (answered by htmentor)