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Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.

a. Write a system of equations to represent the relationships between the number
of nickels n, the number of dimes d, and the dollar amount in this situation.

Respuesta :

Ashraf82

The system of equations is

n + d = 27

n + 5d = 55

Step-by-step explanation:

The given is:

  • Kiran has 27 nickels and quarters in his pocket
  • They worth a total of $2.75
  • We need to write a system of equations to represent the relationships between the number  of nickels n, the number of quarters d, and the dollar amount in this situation

∵ The number of nickles is n

∵ The number of quarters is d

∵ There are 27 nickles and quarters

∴ n + d = 27 ⇒ (1)

∵ 1 nickel = 5 cents

∵ 1 quarter = 25 cents

- Multiply n by 5 and d by 25 to find their value

∴ They worth = 5n + 25d

∵ They worth a total of $2.75

- Chang the dollar to cent

∵ 1 dollar = 100 cents

∴ $2.75 = 2.75 × 100 = 275 cents

- Equate their value by 275

∴ 5n + 25d = 275

- Simplify it by divide each term by 5

∴ n + 5d = 55 ⇒ (2)

The system of equations is

n + d = 27

n + 5d = 55

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

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