Answers: 6 pennies, 12 nickels
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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.
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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.
