Answer:
[tex]\frac{1}{2}-\frac{3}{4}x[/tex].
Step-by-step explanation:
We have been given that Angelo gave 2/3 of a bag of pretzels to Ben. Ben ate a portion (x) of the pretzels.
Let us find amount of remaining pretzels after x potion eaten by Ben by subtracting x from 2/3 as:
[tex]\text{Remaining pretzels}=\frac{2}{3}-x[/tex]
We have been given that Ben gave 3/4 of the remaining pretzels to Connor. The amount of pretzels given to Connor would be 3/4 of remaining pretzels.
[tex]\text{Connor's portion of the bag of pretzels}=\frac{3}{4}(\frac{2}{3}-x)[/tex]
[tex]\text{Connor's portion of the bag of pretzels}=\frac{3}{4}*\frac{2}{3}-\frac{3}{4}x[/tex]
[tex]\text{Connor's portion of the bag of pretzels}=\frac{1}{2}-\frac{3}{4}x[/tex]
Therefore, our required expression would be [tex]\frac{1}{2}-\frac{3}{4}x[/tex].
