Question

Rob has $1.65 in nickels and dimes. He has 25 coins in all. How many of each kind of coin are there?

Answer 1

Answer:

The number of nickels is 17 and number of dimes is 8.

Step-by-step explanation:

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

Total number of coins is 25.

$x+y=25$                   .... (1)

$\ 1=100\text{ cents}$

$1\text{ nickel}=5\text{ cents}$

$1\text{ dimes}=10\text{ cents}$

$5x+10y=1.65\times100$

$5x+10y=165$                     .... (2)

On solving (1) and (2), we get

$5x+10(25-x)=165$

$-5x+250=165$

$-5x=-85$

$x=17$

Put this value in equation 1.

$17+y=25$

$y=8$

Therefore the number of nickels is 17 and number of dimes is 8.