homework math help

Question

A bank contains 30 coins consisting of pickles dimes and quarters. There are twice as many nickels as quarters and the remaining coins are dimes if the value of the coins is 3.35 what is the number of dimes in the bank

Answer 1

There are an odd number of quarters since the total value ends with 5 cents.  You can try 'guess and check'...

Try 1 quarter which means there are 2 nickels and the rest of the coins is dimes (30 minus 1 minus 2 = 27 dimes).  The values are 25 + 10 + 270 which has a sum of $3.05 which is too low.

Try 3 quarters which means there are 6 nickels and 21 dimes (30 minus 3 minus 6).  The values are 75 + 30 + 210 which has a sum of $3.15.

The total value went up by only 10 cents, so...

Try 7 quarters which means 14 nickels and 9 dimes (30 minus 7 minus 14 = 9).  The values are 175 + 70 + 90 which has a sum of $3.35.

 

Hope this helps, Patryk.

Mary Ann