Chapter 3.3, Problem 78CCR

To determine

To state: the larger group.

Answer to Problem 78CCR

The larger group is the group of teenager which go to sleep at $12$ A.M.

Explanation of Solution

Given information:

  $\frac{1}{4}$ of teenagers go to sleep between $9\text{ and 10P}\text{.M}\text{.}$ and $\frac{13}{50}$ of teenager go to sleep at $12$ A.M.

to find the larger group compare the fractions $\frac{1}{4}$ and $\frac{13}{50}$ ,

First equal the denominator of fraction,

  $\begin{array}{l}\frac{1}{4},\frac{13}{50}\\ \frac{25}{100},\frac{26}{100}\text{ [equal the denominator]}\end{array}$

Since, $\frac{26}{100}$ is greater than $\frac{25}{100}$ so,

  $\frac{25}{100}<\frac{26}{100}$

Thus, the larger group is the group of teenager which go to sleep at $12$ A.M.