Answer:
She has 11 nickels and 13 dimes
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