Ask Question
14 August, 14:47

Susie has 2 more dimes than nickels. This amounts to $1.85. How many of each coin does she have? Show all of your guesses.

+4
Answers (1)
  1. 14 August, 15:32
    0
    She has 11 nickels and 13 dimes

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - The dime = 10 cents

    - The nickel = 5 cents

    - Susie has 2 more dimes than nickels

    - The amount of money with her is $1.85

    - 1 dollar = 100 cents

    * Lets solve the problem

    - Let the number of dimes is d and the number of nickels is n

    ∵ Susie has 2 more dimes then nickels

    ∵ d is the number of dimes and n is the number of nickels

    ∴ d = n + 2 ⇒ (1)

    ∵ 1 dime = 10 cents and 1 nickel = 5 cents

    ∵ The amount of these coins = $1.85

    ∵ 1 dollar = 100 cents

    ∴ 10d + 5n = 1.85 * 100

    ∴ 10d + 5n = 185 ⇒ (2)

    - To find the numbers of dimes and nickels substitute equation (1)

    in equation (2)

    ∴ 10 (n + 2) + 5n = 185 ⇒ multiply the bracket by 10

    ∴ 10n + 20 + 5n = 185 ⇒ add like terms

    ∴ 15n + 20 = 185

    - Subtract 20 from both sides

    ∴ 15n = 165

    - Divide both sides by 15

    ∴ n = 11

    - Substitute the value of n in equation (1)

    ∴ d = 11 + 2 = 13

    ∵ n is the number of nickels and d is the number of dimes

    ∴ She has 11 nickels and 13 dimes
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Susie has 2 more dimes than nickels. This amounts to $1.85. How many of each coin does she have? Show all of your guesses. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers