Answer: He will put \(\frac{3}{8}\) 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 = \(\frac{x}{8}\)
The pie left after distribution \(=1 - \frac{x}{8}=\frac{8-x}{8}\)
But, according to the question,
Remaining part = \(\frac{5}{8}\)
\(\implies \frac{8-x}{8}=\frac{5}{8}\)
\(\implies 64 - 8x = 40\)
\(\implies -8x = -24\)
\(\implies x = 3\)
Hence, the number of friends = 3
⇒ The total parts he gave to his friends = \(\frac{3}{8}\)
