Answer: 28 nickels and 13 quarters
Step-by-step explanation:
Let the number of nickels represented by x and the number of quarters represented by y.
Then according to the question, we have the following equations :
[tex]x+y=41....................(1)\\\\0.05x+0.25y=4.65.................(2)[/tex]
Divide 0.05 on both sides of equation (2), we get
[tex]x+5y=93........................(3)[/tex]
Subtract equation (1) from equation (3) , we get
[tex]4y=52\\\\\Rightarrow\ y=13[/tex]
From (1), x=28
Therefore, there are 28 nickels and 13 quarters.
