Question

You have 2 whole pizzas. You cut one into 6 pieces and eat 2 pieces. The second you cut into 7 pieces and your friend eats 2 pieces. If you combine all the pizza that has not been eaten, how much pizza do you have left?

a. 1 whole pizza and 9/42 pieces
b. 1 whole pizza and 11/42 pieces
c. 1 whole pizza and 15/42 pieces
d. 1 whole pizza and 19/42 pieces

Answer 1

c. 1 whole pizza and 15/42 pieces

Step-by-step explanation:

After cutting the first pizza into 6 pieces and eating 2, you have 4 pieces remaining. The second pizza, cut into 7 pieces with your friend eating 2, leaves 5 pieces. Combining the remaining pieces from both pizzas gives a total of 9 pieces.

Now, since each pizza was originally a whole pizza, and we are dealing with the total number of pieces out of 14 (6 from the first pizza + 7 from the second), we can express this as 9/14. To simplify the fraction, we multiply both the numerator and denominator by 2, resulting in 18/28. Further simplifying by dividing both by the greatest common factor, which is 2, we get 9/14.

Therefore, you have 9/14 of the total pizza, and since 14 pieces make up a whole pizza, this is equivalent to having 9/14 * 1 = 9/14 of one whole pizza. To express this as a mixed number, we divide 9 by 14, which gives 0 with a remainder of 9. So, the final answer is 1 whole pizza and 9/14 pieces. To simplify further, we can express 9/14 as 18/28 and then simplify it to 9/14. Therefore, you have 1 whole pizza and 9/14 pieces, which can be expressed as 1 whole pizza and 15/42 pieces.

Answer 2

The total remaining pizza after you and your friend ate would be d) 1 whole pizza and 19/42 pieces.

Step-by-step explanation:

To solve this, let's break it down step by step. You started with 2 whole pizzas. After eating 2 pieces from the first pizza cut into 6 pieces, there were 4 pieces left. The second pizza, cut into 7 pieces, had 5 pieces left after your friend ate 2.

Combining the remaining pieces from both pizzas gives you a total of 4 + 5 = 9 pieces remaining. To find how many whole pizzas that represents, add the total number of pieces each whole pizza has: 6 pieces from the first pizza and 7 pieces from the second pizza, which equals 6 + 7 = 13 pieces per whole pizza.

With 9 pieces remaining and knowing each whole pizza has 13 pieces, you have 9 pieces that are a fraction of a whole pizza. Simplifying 9/13 to express it in terms of a common denominator of 42, you get 1 whole pizza and 19/42 pieces.

Therefore, the final answer is d. 1 whole pizza and 19/42 pieces remaining after your consumption and your friend's consumption.