SOLUTION: If there are 35 coins worth $2.20,how many nickels and dimes are in the bank?

Question 1096549: If there are 35 coins worth $2.20,how many nickels and dimes are in the bank?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The 35 coins, where? What bank?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Despite the sloppy wording of your question, the intention is clear....

For an informal solution, first imagine that all 35 coins are dimes; the amount would then be $3.50. But the actual amount is $2.20, which is $1.30 less than $3.50.

Next imagine replacing 1 dime with 1 nickel repeatedly. Each time you do that, the total value goes down by $0.05 (5 cents). How many times do you need to do that to get the total down to the actual amount of $2.20?

The value goes down by $0.05 each time; you need to reduce the value by $1.30. $1.30 divided by $0.05 is 26; you need to replace 26 of the dimes with nickels.

So there are 26 nickels, which means the number of dimes is 35-26 = 9.

CHECK: 9($0.10) + 26($0.05) = $0.90 + $1.30 = $2.20.
RELATED QUESTIONS
a piggy bank has only nickels and dimes in it. there are 16 coins worth $1.20. how many... (answered by Alan3354)
piggy bank consists of nickels and dimes. there are 30 coins worth $1.90, how many... (answered by Edwin McCravy)
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels, (answered by ikleyn,richwmiller,greenestamps)
can you help me to solve this problem please: SUzy has a piggy bank consisting of... (answered by stanbon)
There are 16 coins in a bank. If the coins are all nickels and dimes and they total... (answered by texttutoring)
A bank has only dimes and quarters worth $15.40. There are 100 coins in the bank. How... (answered by Edwin McCravy)
A person has 20 coins, all nickels and dimes, worth $1.65. How many nickels are... (answered by josmiceli)
A child�s piggy bank contains 35 coins and a total of $6.25. The bank contains... (answered by ikleyn)
Your piggy bank has 50 coins worth a total of $4.55. The coins are only nickels and... (answered by Fombitz)