Question

The given line plot shows the amount of candy (in pounds) a group of friends receive. If all of them share the candies equally, how much candy will each person get?

• A. $\frac{13}{6}$
• B. $\frac{5}{7}$
• C. $\frac{29}{6}$

Answer 1

The correct option is C $\frac{29}{6}$

Let’s write the data given in the line plot in a table.

Weight of candy(Ib)	Number of friends	Total weight of candy(Ib)
$\frac{1}{3}$	1	$\frac{1}{3}$
$\frac{1}{2}$	3	$3\times \frac{1}{2}=\frac{3}{2}$
$\frac{3}{2}$	2	$2\times \frac{3}{2}=\frac{6}{2}=3$
		Total weight of all candies $=\frac{1}{3}+\frac{3}{2}+3$ Since the denominators are different, let’s convert them into equivalent fractions $=\frac{1\times 2}{3\times 2}+\frac{3\times 3}{2\times 3}+\frac{3\times 6}{1\times 6}$ $=\frac{2}{6}+\frac{9}{6}+\frac{18}{6}$ $=\frac{2+9+18}{6}$ $=\frac{29}{6}$

Therefore, weight of candy each friend will get $=\frac{29}{6}Ib$