SOLUTION: a piggy bank contains nickels, dimes, and quarters. The number of dimes is three more than the number of nickels and the number of quarters is four less than the number of nickels.

Algebra.Com
Question 460447: a piggy bank contains nickels, dimes, and quarters. The number of dimes is three more than the number of nickels and the number of quarters is four less than the number of nickels. If the value of the coins is less than $10, what is the maximum number of nickels in the bank?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

>>...The number of dimes is three more than the number of nickels...<<

                       d = n + 3

>>...the number of quarters is four less than the number of nickels...<<

                       q = n - 4

>>...the value of the coins is less than $10,...<< 

$0.05n + $0.10d + $0.25q < $10.00

Multiply that by 100 and drop $ marka:

          5n + 10d + 25q < 1000

Divide through by 5

             n + 2d + 5q < 200

Substitute d = n + 3 and q = n - 4

 n + 2(n + 3) + 5(n - 4) < 200

    n + 2n + 6 + 5n - 20 < 200

                 8n - 14 < 200

                      8n < 214
                       
                       n < 26.75

        
The answer is 26 nickels. for that is the largest whole number
that does not exceed 26.75

In fact the maximum number of dimes, the maximum number of
nickels, and the maximum number of quarters are all three
achieved if the piggy bank contains $9.70 with 29 dimes, 
26 nickels and 22 quarters.

Edwin
RELATED QUESTIONS

A piggy bank has five more dimes than nickels and three less quarters than twice the... (answered by josmiceli)
A child's piggy bank contains nickels, dimes, and quarters. There are twice as many... (answered by jorel1380)
A piggy bank contains nickels, dimes and quarters. There are three times as many dimes as (answered by richwmiller)
A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3... (answered by ewatrrr)
There are nickels, dimes and quarters in a small piggy bank. It totals $3.40. There are... (answered by stanbon,richwmiller)
A bank contains nickels,dimes,and quarters with a total value of $3.05. the number of... (answered by oberobic)
A childs piggy bank has 29 coins in quarters, dimes, and nickles. The number of nickels... (answered by josgarithmetic)
A bank contains 57 nickels, dimes, and quarters. There are 8 more dimes than quarters and (answered by monika_p)
In Jacks piggy bank, there is a collection of pennies, nickels, dimes, and quarters which (answered by greenestamps,josgarithmetic)