WE HAD TWO PIZZAS JIM ATE 3 SLICES OF ONE AND KATE ATE 1/4 OF THE OTHER ONE.WHO ATE THE MOST?
We can't tell because you didn't tell us the number of slices were in Jim's pizza.
Assuming that both pizzas are cut into the same number of slices, they must have a multiple of 4 slices each, since we can assume that 1/4 a pizza is a whole number of slices.
If the pizzas had 4 slices each, then Jim had 3 and Kate had 1.
If there were 8 slices, Jim had 3 and Kate had 2.
If 12 slices, they both had 3.
Since
(a) very few pizzas are cut into 16 or more slices
(b) the question's wording implies that they did not have the same number of slices each,
I think we can assume that Jim ate more than Kate.
To determine who ate the most pizza, we need to compare the quantities of pizza consumed by Jim and Kate.
First, let's find out how many slices of pizza Kate ate. We are given that Kate ate 1/4 of the other pizza. However, we need to know the number of slices in that pizza.
If we assume that both pizzas were divided into the same number of slices, we can calculate the total number of slices in one pizza. Let's say there were "x" slices in each pizza.
So, Jim ate 3 slices of one pizza, and Kate ate 1/4 of the other pizza. If we express this fraction in terms of "x," Kate ate (1/4) * x slices.
Now, to determine who ate the most, we need to compare the number of slices of pizza. We can write this as an inequality:
Jim's slices > Kate's slices
Since Jim ate 3 slices, we get:
3 > (1/4) * x
To solve this inequality, we can multiply both sides by 4 (to get rid of the fraction):
12 > x
This means that the number of slices in one pizza must be less than 12. Otherwise, Kate would have eaten more than Jim.
In conclusion, if each pizza had less than 12 slices, then Jim ate the most pizza. Otherwise, if each pizza had 12 or more slices, Kate would have eaten more pizza than Jim.