SOLUTION: a child's bank contains $1.15 in dimes and quarters. Find all the possibilities for the number of each type of coin in the bank

Algebra.Com
Question 779049: a child's bank contains $1.15 in dimes and quarters. Find all the possibilities for the number of each type of coin in the bank
Answer by Edwin McCravy(20081)   (Show Source): You can put this solution on YOUR website!
Since $1.15 ends with a 5, the bank cannot contain exactly
2 quarters or exactly 4 quarters, because adding any number
of dimes to 2 or 4 quarters will only give a sum ending 
in 0.  So there can only either be exactly 1 or exactly 3 
quarters.

So there are just 2 possibilities:

If there is exactly 1 quarter, the remaining 90˘ must consist of 9 dimes.
If there are exactly 3 quarters, the remaining 40˘ must consist of 4 dimes.

Edwin

RELATED QUESTIONS

A box contains nickels, dimes, and quarters worth $2.00.Find all possibilities for the... (answered by solver91311)
Kimberly has $1.95 in dimes and quarters. Find all possibilities for the number of each... (answered by colliefan)
A child’s piggy bank contains 35 coins and a total of $6.25. The bank contains... (answered by ikleyn)
a bank coin contains nickles and imes. the number of dimes is 10 less tahn twice the... (answered by ReadingBoosters)
A child's piggy bank contains nickels, dimes, and quarters. There are twice as many... (answered by jorel1380)
the total value of the dimes and quarters in a bank is $5.90. There are four more... (answered by CubeyThePenguin)
the total value of the dimes and quarters in a bank is $6.05. there are six more quarters (answered by ewatrrr)
A child's bank contains $6.30 in dimes and quarters. There are twice as many dimes as... (answered by richwmiller)
A chlds bank contains $6.30 in dimes and quarters. There are twice as many dimes as... (answered by oberobic)