Question

Marsha has $2.20 in her piggy bank. She has 5 times as many pennies as nickels. She has 3 more dimes than nickels. She has 3 times as many quarters than nickels. How many nickels does she have?

Answer 1

• 2 nickels

Explanation:

If you set aside the excess dimes, the coins can be grouped as ...

{1 nickel, 5 pennies, 1 dime, 3 quarters}

The value of this group is $0.95, and the total value of all groups is ...

$2.20 - 3×0.10 = $1.90

So, the number of groups is ...

$1.90 / $0.95 = 2

That means Marsha has ...

2 nickels

_____

The other coins Marsha has are 10 pennies, 5 dimes, and 6 quarters, for a total amount of $0.10 + 0.10 + 0.50 + 1.50 = $2.20.