Chapter 12.1, Problem 35HP

To determine

To find : Which option is correct.

Answer to Problem 35HP

Option G : $\frac{11}{24}$

Explanation of Solution

Given information :

A pie is divided evenly between $3$ boys and a girl. If one boy gives one half of is share to the girl and a second boy keeps two thirds of his share and gives the rest to girl.

Formula Used:

Concept of understanding

Calculation :

Each people get $\frac{1}{4}$ share and first boy get $\frac{1}{2}\times \frac{1}{4}=\frac{1}{8}$ and $\left(1-\frac{2}{3}\right)\times \frac{1}{4}=\frac{1}{12}$ . Second boy give the girl.

Hence, girl received = $\frac{1}{4}+\frac{1}{8}+\frac{1}{12}=\frac{11}{24}$

Option G is correct.