A group orders three large pizzas. Each slice represents 1/12 of the entire pizza. The group eats 3/4 of the pizza. How many slices of pizza are left? Justify your answer
To solve this problem, we need to calculate the total number of slices in three large pizzas and then subtract the number of slices that the group has eaten.
Firstly, we need to find out how many slices are in one large pizza. We know that each slice represents 1/12 of the entire pizza. So, to find the total number of slices in one pizza, we use the reciprocal of the fraction: 1/(1/12) = 12.
Therefore, one large pizza contains 12 slices.
Since the group orders three large pizzas, we multiply the number of slices in one pizza by 3: 12 * 3 = 36.
So, there are initially 36 slices in the three large pizzas.
Next, we need to determine how many slices the group has eaten. It is mentioned that they ate 3/4 of the pizza. To find the number of slices, we need to multiply the total number of slices by 3/4: 36 * (3/4) = 27.
Therefore, the group has eaten 27 slices.
Finally, to find the number of slices left, we subtract the number of slices eaten from the total number of initial slices: 36 - 27 = 9.
Hence, there are 9 slices of pizza left after the group has eaten.
12 slices to a pizza
3/4 of 12 is 9 slices gone
so 3 slices left