SOLUTION: if there are 32 coins total and they are all dimes and quarters and add to 4.70 how many dimes and quarters are there

Algebra.Com
Question 801757: if there are 32 coins total and they are all dimes and quarters and add to 4.70 how many dimes and quarters are there
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Dimes = x
Quarters = y
x + y = 32 ......1
10x + 25y = 470.......2
Multiply Eq (1) by 25
25x + 25y = 800........3
10x + 25y = 470.......2
Subtract (2) from (3)
15x = 330
x = 22
Substitute x = 22 into
Equation(1)
x + y = 32
22 + y = 32
y = 10
22 dimes and 10 quarters.
Hope this helps.
:-)

RELATED QUESTIONS

A collection of 32 coins amounted to $5.15. If it consist of dimes and quarters, how many (answered by Alan3354)
There are 70 quarters and dimes and the total is $14.50. How many quarters and dimes are... (answered by issacodegard)
the sum of money amounting to $5.90 consist of dimes and quarters . if there are 32 coins (answered by ankor@dixie-net.com)
Michelle has a jar of quarters and dimes to totaling to 3.10 . If there are sixteen coins (answered by algebrahouse.com)
A coin contains 60 coins, all dimes and quarters. The total amount is $11.40. How many... (answered by nyc_function)
50 coins in dimes and quarters have a total value of $11.00. How many dimes and quarters... (answered by josgarithmetic,greenestamps)
Frank has $3.75 in dimes and quarters. If there are 24 coins in all, how many are... (answered by Alan3354)
adam has quarters and dimes in his pocket. there are 28 coins in all, and they are worth... (answered by richwmiller)
a sum of money amounting to $3.55 consists of dimes and quarters. if there are 25 coins... (answered by WannabeCAgirl83)