Answer: He will put [tex]\frac{3}{8}[/tex] part of the total pie.
Step-by-step explanation:
Let he has friends = x
Total pieces of the pie = 8
Thus, the part of pie he gave to his friends = [tex]\frac{x}{8}[/tex]
The pie left after distribution [tex]=1 - \frac{x}{8}=\frac{8-x}{8}[/tex]
But, according to the question,
Remaining part = [tex]\frac{5}{8}[/tex]
[tex]\implies \frac{8-x}{8}=\frac{5}{8}[/tex]
[tex]\implies 64 - 8x = 40[/tex]
[tex]\implies -8x = -24[/tex]
[tex]\implies x = 3[/tex]
Hence, the number of friends = 3
⇒ The total parts he gave to his friends = [tex]\frac{3}{8}[/tex]
