A collection of nickels and quarters is worth $2.10. There are 22 coins in all . How many of each coin are there?

17 nickels

5 quarters

Step-by-step explanation:

Let n = no. of nickels

22 - n = no. of quarters

Each quarter is 25 cents and each nickel is 5 cents

5n = total amount of money in cents for the nickels

25(22 - n) = total amount of money in cents for the quarters

Since the total amount of money is $2.10 or 210 cents we have the equation

5n + 25(22 - n) = 210

5n + 550 - 25n = 210

-20n + 550 = 210

-20n = -340

n = 17 nickels

22 - n = 22 - 17 = 5 quarters

Now, you don't need to do all that I did.  I explained in detail what is going on in this problem.  All that you would need to do is write this:

let n = no. of nickels

22 - n = no. of quarters      and then write the equation and solve

5n + 25(22 - n) = 210

??                                          OK?

there is nothing below so i cannot

step-by-step explanation: