Question

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank? The piggy bank has nickels and dimes. NextReset

Answer 1

there are 24 dimes and 64 nickles

Answer 2

64 nickels and 24 dimes

Explanation:

Let there be x nickels and y dimes

The number of nickels is 8 less than 3 times the dimes

i.e.
`x = 3y-8`

Value of the coins =
`5x+10y`

= 560 cents (given)

Substitute x value in the second equation

`5(3y-8)+10y = 560\\25y = 600\\y =24\\`

Substitute in

`x = 3y-8\\=64`

There are 64 nickels and 24 dimes.