Question

Susie has 34 nickels and dimes. Their total value is $2.35. How much of each does she have?

Answer 1

Given:

Susie has 34 nickels and dimes. Their total value is $2.35.

To find:

The number of nickels and number of dimes.

Solution:

Let the number of nickels be x and number of dimes be y.

Susie has 34 nickels and dimes.

`x+y=34` ....(i)

We know that,

1 nickel = $0.05

1 dime = $0.10

Their total value is $2.35.

`0.05x+0.10y=2.35`

Multiply both sides by 100.

`5x+10y=235`

Divide both sides by 5.

`x+2y=47` ...(ii)

Subtracting (i) from (ii), we get

`x+2y-x-y=47-34`

`y=13`

Putting y=13 in (i), we get

`x+13=34`

`x=34-13`

`x=21`

Therefore, number of nickels is 21 and number of dimes is 13.