SOLUTION: A chlds bank contains $6.30 in dimes and quarters. There are twice as many dimes as quarters. How many of each kind of coin are in the bank?

Question 531054: A chlds bank contains $6.30 in dimes and quarters. There are twice as many dimes as quarters. How many of each kind of coin are in the bank?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
With coin problems you need to keep track of the count of the coins and the value.
d = number of dimes
10d = value of the dimes in cents
q = number of quarters
25q = value of the quarters in cents
.
10d + 25q = 630 cents
.
d = 2q
.
substitute
.
10(2q) + 25q = 630
20q + 25q = 630
45q = 630
q = 14
.
d = 2q
d = 2*14 = 28
.
Check the values to be sure this answer is right.
25(14) = 350 cents
10(28) = 280 cents
total = 630 cents
Correct.
.
Answer: The child has 14 quarters and 28 dimes.
.
Done.
RELATED QUESTIONS
A child's bank contains $6.30 in dimes and quarters. There are twice as many dimes as... (answered by richwmiller)

A child's bank contains $6.30 in dimes and quarters. There are twice as many dimes as... (answered by stanbon)

A piggy bank contains $4.40 in nickles, dimes and quarters. there are twice as many... (answered by ptaylor)

A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and (answered by ankor@dixie-net.com)

A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and (answered by Cintchr)

A coin bank contains nickels, dimes, and quarters totaling $5.45. If there are twice as... (answered by mathmaven53)

A coin bank contains nickels, dimes, and quarters totaling $5.45. If there are twice as... (answered by stanbon)

A piggy bank contains $12.75 in nickels, dimes, and quarters. There are twice as many... (answered by stanbon)

A piggy bank contains $3.20. There are twice as many nickels as quarters and half as many (answered by macston)