Question

Bella has 7 more dimes than nickels, for a total value of $1.45. If n represents the number of nickels, what equation could be used to find the number of nickels Bella has?

Answer 1

15 nickels

Explanation:

so you know she has 7 dimes so youre starting off at .70

how much money would it take to get from .70 to 1.45?

.75 cents to get from .70 to 1.45 which is 15 nickels

Answer 2

0.15n + 0.70 = 1.45

5 nickels

Explanation:

Nickel = 5 cents = $0.05

Dime = 10 cents = $0.10

Let n = number of nickels

Let d = number of dimes

Given:

• Bella has 7 more dimes than nickels
• Total value of $1.45

Equation 1: 0.05n + 0.10d = 1.45

Equation 2: d = n + 7

Substitute Equation 2 into Equation 1 and solve for n:

⇒ 0.05n + 0.10(n + 7) = 1.45

⇒ 0.05n + 0.10n + 0.70 = 1.45

⇒ 0.15n + 0.70 = 1.45

⇒ 0.15n = 0.75

⇒ n = 5

Therefore, Bella had 5 nickels and 12 dimes.