Mathematics: Rob has $1.65 in nickels and dimes. he has 25 coins in all. how many of each kind of coin are there?explain how you got your answer and show your work.

Rob has $1.65 in nickels and dimes. he has 25 coins

Seaisnowblue

10.03.2022

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.

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