Answer:
The [tex]\frac{3}{8}[/tex] of the cookies are peanut butter.
Step-by-step explanation:
It is given that in a cookie jar, [tex]\frac{1}{4}[/tex] of the cookies are chocolate chip and [tex]\frac{1}{2}[/tex] of the rest are peanut butter.
Since [tex]\frac{1}{4}[/tex] of the cookies are chocolate chip, therefore the reaming part is
[tex]1-\frac{1}{4}=\frac{4-1}{4}=\frac{3}{4}[/tex]
Since [tex]\frac{1}{2}[/tex] of the rest are peanut butter, therefore the part cookies that is peanut butter is calculated as,
[tex]\frac{3}{4}\times \frac{1}{2}=\frac{3}{8}[/tex]
Therefore the required expression is [tex]\frac{3}{4}\times \frac{1}{2}[/tex] or [tex](1-\frac{1}{4})\times \frac{1}{2}[/tex]. So, [tex]\frac{3}{8}[/tex] of the cookies are peanut butter.
