Bella has $0.66 worth of
pennies and
nickels. she has 6 more
nickels than
pennies. determine the
number of pennies
and the number of nickels that
bella has.

Work Shown:

$0.66 = 66 cents

n = number of nickels

p = number of pennies

n = p+6 because she has 6 more nickels than pennies

5n = total amount of money in cents from just the nickels

1p = total amount of money in cents from just the pennies

5n+1p = total amount of money of all the coins (nickels+pennies)

5n+1p = 66 cents

5n+p = 66

5(n) + p = 66

5(p+6) + p = 66 ... replace every n with p+6

5p+30+p = 66

6p+30 = 66

6p = 66-30

6p = 36

p = 36/6

p = 6

Bella has 6 pennies.

n = p+6

n = 6+6

n = 12

Bella has 12 nickels.

Check:

6 pennies = 6*1 = 6 cents

12 nickels = 12*5 = 60 cents

(6 pennies)+(12 nickels) = (6 cents) + (60 cents) = 66 cents = $0.66

12 nickels is 6 more than the number of pennies (6).

Answers are confirmed.

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