Given:
- Jackson has twelve more pennies than nickels.
Let's denote:
- p as the number of pennies,
- n as the number of nickels.
We have the equation:
p = n + 12
The total value of all his coins is $2.94, which is 294 cents.
The value of p pennies is 1 cent each, so the total value contributed by pennies is p cents.
The value of n nickels is 5 cents each, so the total value contributed by nickels is 5n cents.
The total value equation can be written as:
p + 5n = 294
Now, substitute p = n + 12 into the total value equation:
(n + 12) + 5n = 294
6n + 12 = 294
6n = 294 - 12
6n = 282
n = 282 / 6
n = 47
Now that we know n = 47, we can find p:
p = n + 12
p = 47 + 12
p = 59
So, Jackson has 59 pennies and 47 nickels.
