SOLUTION: A bag contains 33 coins, some dimes and some quarters. The total amount of money in the bag is $4.35. How many dimes and how many quarters are in the bag?
Algebra.Com
Question 1070894: A bag contains 33 coins, some dimes and some quarters. The total amount of money in the bag is $4.35. How many dimes and how many quarters are in the bag?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
d+q = 33
subtract q from both sides:
d = 33-q
------------------
0.10d+0.25q = 4.35 substitute for d:
0.10(33-q)+0.25q = 4.35
3.30-0.10q+0.25q = 4.35
0.15q = 1.05
q = 7 So there are 7 quarters and
33-7 = 26 dimes
---------------------------
check:
7*0.25 = 1.75
26*0.10 = 2.60
---------------
Total: 4.35 Correct
RELATED QUESTIONS
A bag of coins contains 30 coins, some dimes and some quarters. The total amount of money (answered by solver91311)
A bag contains 23 coins, some dimes and some quarters. The total amount of money in the... (answered by josgarithmetic)
A bag of coins contains nickels, dimes, and quarters. There are a total of 61 coins in... (answered by Boreal)
A bag of coins contains nickels, dimes, and quarters. There are a total of 17 coins in... (answered by craigt)
A bag of coins contains nickels, dimes, and quarters. There are a total of 9 coins in the (answered by LarissaRichardson)
1)You have $55.00 to spend on refreshments for a party. Large bags of chips cost $2.00... (answered by JulietG)
In a bag, there are some nickels and dimes. If there are 79 coins together and the total... (answered by greenestamps)
I have a bag that contains 50 coins. The total value of these coins is $1.00. How many... (answered by Edwin McCravy)
A bag contains dimes and quarters, a total of 40 coins. The value of coins is 7.15. How... (answered by algebrahouse.com)