Anurak has nickels, dimes, and pennies in his pocket. The coins in Anurak's pocket have a total value of 75 cents. He has three more nickels than dimes and five times as many pennies as dimes. How many coins of each type does Anurak have?

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be , , the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

(Eq. 1)

In addition, we get the following identities:

i) He has three more nickels than dimes

(Eq. 2)

ii) And five times as many pennies as dimes

(Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

The remaining variables are and .

Anurak has 15 pennies, 6 nickels and 3 dimes.