Question

Illonka has $1.04 in pennies and nickels in a hot on her desk. The number of pennies is three times the number of nickels. How many coins of each type does she have?

Option 1: 4 pennies, 1 nickel
Option 2: 2 pennies, 2 nickels
Option 3: 3 pennies, 3 nickels
Option 4: 5 pennies, 2 nickels

Answer 1

Illonka has 13 nickels and 39 pennies.

Step-by-step explanation:

Let's assign variables to represent the number of nickels and pennies. Let x be the number of nickels, and since the number of pennies is three times the number of nickels, the number of pennies is 3x.

The value of the nickels is 5x cents, and the value of the pennies is 1 cent each, so the value of the pennies is 1 * 3x = 3x cents.

We know that the total value of the coins is $1.04, which is equal to 104 cents. Therefore, we can set up the equation: 5x + 3x = 104.

Combining like terms, we get 8x = 104. Dividing both sides by 8, we find that x = 13.

So, Illonka has 13 nickels and 3 * 13 = 39 pennies.