Joel cut a pie into an equal number of pieces. He ate 1/3 of the pie. He was left with 8 pieces of the pie. How many pieces did he cut the pie into?
Fraction of the pie left —> 1 - 1/3 = 3/3 - 1/3 = 2/3
2/3 of the pie —> 8 pieces
1/3 of the pie —> 4 pieces
Pie —> 3 * 4 = 12 pieces
He cut the pie into 12 pieces.
To find out how many pieces Joel cut the pie into, we can use the information given in the problem.
Let's assume the initial number of pieces Joel cut the pie into is 'x'.
Joel ate 1/3 of the pie, which means he was left with 2/3 of the pie.
Since 2/3 of the pie equals 8 pieces, we can set up the following equation:
(2/3) * x = 8
To solve for 'x', we need to isolate it on one side of the equation. We can do that by multiplying both sides by the reciprocal of 2/3, which is 3/2:
((2/3) * x) * (3/2) = 8 * (3/2)
Simplifying this equation gives us:
x = (8 * 3) / 2
x = 24 / 2
x = 12
Therefore, Joel initially cut the pie into 12 pieces.