jerome and tyler meet in the local pizza parlor after their saturday afternoon soccer game. Eash boy bought a separete pizza with an agreement to share with each other, both at the restraunt and in what they would each take home. jerome ate 1/4 of a pizza and Tyler at 2/3 of a pizza. How much pizza was left? How much did each boy take home after lunch?

1/4 = 3/12

2/3 = 8/12

3/12 + 8/12 = 11/12

24/12 - 11/12 = 13/12 = 1 1/12

To find out how much pizza was left, we need to subtract the amount each boy ate from the total amount they had:

Jerome ate 1/4 of a pizza.
Tyler ate 2/3 of a pizza.

To determine the common denominator, we need to find a multiple of 4 and 3. The least common multiple of 4 and 3 is 12.

Converting the fractions to have the same denominator:

Jerome ate (1/4 * 3/3) = 3/12 of a pizza.
Tyler ate (2/3 * 4/4) = 8/12 of a pizza.

Now we can subtract the amounts each boy ate from the total pizza:

Total pizza = 12/12 (a whole pizza)
Jerome ate 3/12, so there is (12/12) - (3/12) = 9/12 of a pizza left.
Tyler ate 8/12, so there is (9/12) - (8/12) = 1/12 of a pizza left.

So, there is 1/12 of a pizza left.

Next, to determine how much each boy took home after lunch, we need to divide the amount they ate equally between them:

Jerome ate 3/12, which is (3/12) ÷ 2 = 1/4 of a pizza to take home.
Tyler ate 8/12, which is (8/12) ÷ 2 = 4/6 = 2/3 of a pizza to take home.

Therefore, Jerome took home 1/4 of a pizza, and Tyler took home 2/3 of a pizza.