Sam gave jen 1/2 of his jujubes. Jen ate 1/2 of the jujubes and gave the rest to kyle. Kyle kept 8 of the jujubes and gave the last 10 to Kim. How many jujubes did Jen eat. Please explain

18

Kyle had 18

so, Jen ate 18

Let's break down the steps:

1. Sam gave Jen 1/2 of his jujubes.
This means that if Sam had x jujubes, he gave Jen x/2 jujubes.

2. Jen ate 1/2 of the jujubes.
This means that if Jen received x/2 jujubes, she ate (1/2) * (x/2) = (1/4) * x jujubes.

3. Jen gave the rest to Kyle.
If Jen had (1/4) * x jujubes remaining, she gave (1 - (1/4)) * x jujubes = (3/4) * x jujubes to Kyle.

4. Kyle kept 8 of the jujubes.
If Kyle received (3/4) * x jujubes, then (3/4) * x - 8 jujubes remained.

5. Kyle gave the last 10 to Kim.
If (3/4) * x - 8 jujubes remained, then (3/4) * x - 8 - 10 = (3/4) * x - 18 jujubes were given to Kim.

Therefore, Jen ate (1/4) * x jujubes.

To find out how many jujubes Jen ate, we need to follow the sequence of events and do some calculations step by step.

1. Sam gave Jen 1/2 of his jujubes.
Let's assume Sam initially had x jujubes. So Sam gave Jen x/2 jujubes.

2. Jen ate 1/2 of the jujubes she received from Sam.
Jen received x/2 jujubes from Sam, and she ate 1/2 of that amount: (1/2) * (x/2) = x/4 jujubes.

3. Jen gave the rest of the jujubes to Kyle.
The remaining number of jujubes that Jen had after eating is (x/2) - (x/4) = x/4 jujubes, which she then gave to Kyle.

4. Kyle kept 8 of the jujubes and gave the last 10 to Kim.
Kyle received x/4 jujubes from Jen. He kept 8 for himself and gave the rest (x/4 - 8) to Kim.

Since we don't know the initial number of jujubes Sam had (represented by x), we cannot determine the exact number of jujubes Jen ate. The information given in the question is not sufficient to calculate the specific quantity.