Question

Hank has $8 in dimes and nickels. He has a total of 105 coins. How many nickels does he have?

Answer 1

I believe it would be 50 nickels. 8 dollars is 800 cents and one nickel is five cents and one dime is ten cents. If you have 50 nickels, that would make 250 cents. If you also have 55 dimes, that would make 550 cents. 250 + 550 = 800, so that checks out. And 50 + 55 = 105 coins, so that checks out as well! I hope this helps, and sorry for the bad explanation! :)

Answer 2

• 50 nickels

Explanation:

Let the number of nickels be n and dimes be d.

Consider:

• n = 5¢, d = 10¢, $8 = 800¢

We have equations below:

• d + n = 105
• 10d + 5n = 800

Multiply the first equation by 10 and subtract the second equation to eliminate d and solve for n:

• 10d + 10n - 10d - 5n = 1050 - 800
• 5n = 250
• n = 50

He has 50 nickels