kyle gave 1/4 cookies to her brother, gave 23 cookies to her friend. He gave 2/10 of remaining cookies to his mother. Then took 5/8 to school to share. how many cookies did Kyle have left

If Kyle started with x cookies,

brother got x/4
friend got 23
mother got 2/10 (3/4 x - 23)
school got 5/8 * 8/10 (3/4 x - 23)

In order for the remainder to be an integer, we need (3/4 x - 23) to be a multiple of 10. So, let's say it's 10.

Kyle started out with 44
brother got 11, leaving 33
friend got 23, leaving 10
mother got 2, leaving 8
school got 5, leaving 3 left over

Actually, the problem's a little squishy, as there are many possible answers. I think a condition was left out, wrong, or too vague.

To find the number of cookies Kyle had left, let's break down the steps one by one.

Step 1: Kyle had a certain number of cookies.
Step 2: He gave 1/4 of the cookies to his brother, which means he had 3/4 of the cookies left.
Step 3: From the remaining cookies, Kyle gave 23 to his friend, leaving him with (3/4 - 23) of the cookies.
Step 4: He then gave 2/10 of the remaining cookies to his mother, so he had (3/4 - 23 - 2/10) of the cookies.
Step 5: Finally, he took 5/8 of the remaining cookies to school, leaving him with (3/4 - 23 - 2/10 - 5/8) of the cookies.

Now, let's simplify the expression and calculate it step by step.

Step 1: Kyle had a certain number of cookies.
Step 2: Remaining cookies = 3/4 of the original number (since he gave away 1/4).
Step 3: Remaining cookies = 3/4 - 23 (since he gave away 23 more).
Step 4: Remaining cookies = (3/4 - 23) - 2/10 (since he gave away 2/10 more).
Step 5: Remaining cookies = ((3/4 - 23) - 2/10) - 5/8 (since he took 5/8 to school).

Now, let's simplify the expression further.

Step 6: Remaining cookies = (3/4 - 23) - 2/10 - 5/8
= (3/4 - 23/1) - (2/10) - (5/8)
= (3/4 - (23/1 * (2/2))) - (2/10) - (5/8)
= (3/4 - 46/2) - (2/10) - (5/8)
= (3/4 - 46/2) - (1/5) - (5/8)
= (3/4 - 23) - (1/5) - (5/8)
= -20 - (1/5) - (5/8)

Now, let's calculate the remaining cookies.

Step 7: Remaining cookies ≈ -20 - (1/5) - (5/8)
≈ -20 - 1/5 - 5/8
≈ -20 - 0.2 - 0.625
≈ -20 - 0.825
≈ -20.825

Based on the calculations, it appears that Kyle ended up with approximately -20.825 cookies. However, since we're dealing with cookies, we cannot have a negative or fractional number of cookies. Therefore, we can conclude that Kyle does not have any cookies left based on the given information.