Respuesta :
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.
[tex]x+y=25[/tex] .... (1)
[tex]\$1=100\text{ cents}[/tex]
[tex]1\text{ nickel}=5\text{ cents}[/tex]
[tex]1\text{ dimes}=10\text{ cents}[/tex]
[tex]5x+10y=1.65\times100[/tex]
[tex]5x+10y=165[/tex] .... (2)
On solving (1) and (2), we get
[tex]5x+10(25-x)=165[/tex]
[tex]-5x+250=165[/tex]
[tex]-5x=-85[/tex]
[tex]x=17[/tex]
Put this value in equation 1.
[tex]17+y=25[/tex]
[tex]y=8[/tex]
Therefore the number of nickels is 17 and number of dimes is 8.
