We are given
piggy bank has nickels , dimes and quarters
Let's assume
number of nickels =n
every two nickels there are 3 dimes
so, number of dimes are
every two dimes that are 5 quarters there
so, number of quarters are
so, total number of coins = number of nickels + number of dimes +number of quarters
total number of coins =n+1.5n+3.75
there are 500 coins
so, we get
now, we can solve for n
divide both sides by 6.25
so, we get
number of dimes is 1.5n
number of quarters is 3.75n
so,
Number of nickels =80
Number of dimes =120
Number of quarters =300............Answer