A pie is cut into two equal parts.
The first part of the pie is shared between Abdul and Kate.
Kate has 3 times as much as Abdul.
The second part of the pie is shared between Sarah and Ron.
Ron has 3/5 as much as Sarah.
The mass of Sarah's share of the pie is 200 grams.
What was the total mass of the pie in grams?
Mass = 2*(200+(3/5)*200) = 640 Grams.
To find the total mass of the pie, we need to determine the mass of Abdul's share, Kate's share, Ron's share, and Sarah's share. Since Abdul and Kate share the first part of the pie, let's assume the mass of that part is "x" grams.
1. Abdul's share: Since Abdul has less than Kate, let's represent his share as "y" grams.
2. Kate's share: We are told that Kate has 3 times as much as Abdul. So Kate's share is 3 * y = 3y grams.
The total mass of the first part of the pie is Abdul's share + Kate's share:
x = y + 3y = 4y grams.
Now, let's consider the second part of the pie. Ron has 3/5 of Sarah's share, and we know that Sarah's share weighs 200 grams. So Ron's share is (3/5) * 200 = 120 grams.
The total mass of the second part of the pie is Ron's share + Sarah's share:
Second part = Ron's share + Sarah's share = 120 + 200 = 320 grams.
Therefore, the total mass of the pie is the sum of the first part and the second part:
Total mass = x + Second part = 4y + 320 grams.
To solve for the total mass, we need to find the value of "y." Unfortunately, the given information doesn't provide any clues for y. Hence, we cannot determine the total mass of the pie without additional information.