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.