SOLUTION: Patty has 20 coins consisting of nickels and dimes. If her nickels were dimes and her dimes were nickels, her coins would be worth 70 cents more. How much are her coins worth?

Question 822811: Patty has 20 coins consisting of nickels and dimes. If her nickels were dimes and her dimes were nickels, her coins would be worth 70 cents more. How much are her coins worth?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Patty has 20 coins consisting of nickels and dimes.
If her nickels were dimes and her dimes were nickels, her coins would be worth 70 cents more.
How much are her coins worth?
:
n + d = 20
:
"If her nickels were dimes and her dimes were nickels, her coins would be worth 70 cents more."
(.05d + .10n) - (.05n + .10d) = .70
.05d + .10n - .05n - .10d = .70
.10n - .05n +.05d -.10d = .70
.05n - .05d = .70
divide thru by .05, results:
n - d = 14
Use elimination here
n - d = 14
n + d = 20
-------------
2n = 34
n = 34/2
n = 17 nickels
then
20 - 17 = 3 dimes
:
17(.05) + 3(.10) = $1.15, the value of her coins
:
See if that works
1.70 + .15 = 1.85; 17 dimes, 3 nickels
.85 + .30 = 1.15; 17 nickels, 3 dimes
------------------
difference: .70

RELATED QUESTIONS
Sarah has 30 coins consisting of nickels and dimes. If her nickels were dimes and her... (answered by ewatrrr)

Patty has 20 coins consisting of nickels and dime. If her nickels were dimes and her... (answered by richwmiller)

Mongo has 20 coins consisting of nickels and dimes. if the nickels were dimes and dimes... (answered by KMST)

When a child breaks open her piggy bank, she finds a total of 64 coins, consisting of... (answered by richwmiller)

When a child breaks open her piggy bank, she finds a total of 50 coins, consisting of... (answered by stanbon)

When a child breaks open her piggy bank, she finds a total of 54 coins, consisting of... (answered by josgarithmetic)

Barbara has 20 coins consisting of nickels and dimes. If the nickels were dimes and the... (answered by Alan3354)

Barbara has 20 coins consisting of nickels and dimes. If the nickels were dimes and the... (answered by Edwin McCravy)

brandon has 20 coins consisting of nickels and dimes. if the nickels were dimes and the... (answered by macston)