Ryan has $0.75 worth of pennies and nickels. He has 3 more nickels than pennies. Determine the number of pennies and the number of nickels that Ryan has.

He has 10 pennies and 13 nickels.

Step-by-step explanation:

A nickel is worth 0.05 while a pennie is worth 0.01. Since Ryah has 0.75 in nickels and pennies, then the amount he has can be described by the following equation:

0.05*nickel + 0.01*pennie = 0.75

We know that he has 3 times more nickels than pennies, therefore:

nickel = pennie + 3

Using that information on the first equation we have:

0.05 * (pennie+3) + 0.01*pennie = 0.75

0.05*pennie + 0.15 + 0.01*pennie = 0.75

0.06*pennie = 0.75 - 0.15

0.06*pennie = 0.6

pennie = 10

nickel = 10 + 3 = 13

He has 10 pennies and 13 nickels.