Given:
First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg.
Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg.
At this point she had sold all her eggs.
To find:
The number of egg the lady have when she came to the market.
Solution:
Let x be the number of egg that the lady have when she came to the market.
First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg. So, the number of remaining eggs after first customer is
![x-\dfrac{1}{2}x-\dfrac{1}{2}=\dfrac{x}{2}-\dfrac{1}{2}](https://tex.z-dn.net/?f=x-%5Cdfrac%7B1%7D%7B2%7Dx-%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7Bx%7D%7B2%7D-%5Cdfrac%7B1%7D%7B2%7D)
Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg. So, the number of remining egg after second customer is
![\text{Remaining eggs}=\dfrac{x}{2}-\dfrac{1}{2}-(\dfrac{x}{2}-\dfrac{1}{2})\times \dfrac{1}{2}-\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Ctext%7BRemaining%20eggs%7D%3D%5Cdfrac%7Bx%7D%7B2%7D-%5Cdfrac%7B1%7D%7B2%7D-%28%5Cdfrac%7Bx%7D%7B2%7D-%5Cdfrac%7B1%7D%7B2%7D%29%5Ctimes%20%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B1%7D%7B2%7D)
![=\dfrac{x}{2}-\dfrac{1}{2}-\dfrac{x}{4}+\dfrac{1}{4}-\dfrac{1}{2}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bx%7D%7B2%7D-%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7Bx%7D%7B4%7D%2B%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B1%7D%7B2%7D)
![=(\dfrac{x}{2}-\dfrac{x}{4})+(-\dfrac{1}{2}+\dfrac{1}{4}-\dfrac{1}{2})](https://tex.z-dn.net/?f=%3D%28%5Cdfrac%7Bx%7D%7B2%7D-%5Cdfrac%7Bx%7D%7B4%7D%29%2B%28-%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B1%7D%7B2%7D%29)
![=(\dfrac{2x-x}{4})+(\dfrac{-2+1-2}{4})](https://tex.z-dn.net/?f=%3D%28%5Cdfrac%7B2x-x%7D%7B4%7D%29%2B%28%5Cdfrac%7B-2%2B1-2%7D%7B4%7D%29)
![=\dfrac{x}{4}-\dfrac{3}{4}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bx%7D%7B4%7D-%5Cdfrac%7B3%7D%7B4%7D)
At this point she had sold all her eggs. It means the remining eggs is 0.
![\dfrac{x}{4}-\dfrac{3}{4}=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B4%7D-%5Cdfrac%7B3%7D%7B4%7D%3D0)
![\dfrac{x}{4}=\dfrac{3}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B4%7D%3D%5Cdfrac%7B3%7D%7B4%7D)
Multiply both sides by 4.
![x=3](https://tex.z-dn.net/?f=x%3D3)
Therefore, the lady came to the market is with 3 eggs.
Okay so 1 = 2/4. And 1/4 can be split into 1/8. Add those and you get 5/8 teaspoons of minced garlic.
Answer:
11.30
Step-by-step explanation:
reverse the equation for volume, 525 / 16.66 / 2.8 = 11.30
Answer:
Tv is 16 inches tall
Step-by-step explanation:
a²+b²=c²
30²+b²=34²
b²=1156-900
√b²=√256
b=16
Answer:AB is the shortest segment in ABC
AC = 2AB