Question

The given line plot shows the number of milk bottles distributed by a milkman. How much milk does the milkman distribute in total?

• A. $4\frac{1}{2}L$
• B. $8\frac{1}{8}L$
• C. $8\frac{1}{4}L$
• D. $4\frac{1}{4}L$

Answer 1

The correct option is B $8\frac{1}{8}L$

Capacity of bottles (L)	Frequency (Number of bottles)	Quantity of milk distributed
$\frac{1}{2}$	$4$	$\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=\frac{4}{2}L$
$1\frac{1}{2}L=\frac{3}{2}L$	$5$	$\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+\frac{3}{2}=\frac{15}{2}L$
$2\frac{1}{4}L=\frac{9}{4}L$	$3$	$\frac{9}{4}+\frac{9}{4}+\frac{9}{4}=\frac{27}{4}L$

Total quantity of milk distributed $=\frac{4}{2}+\frac{15}{2}+\frac{27}{4}L$

$\frac{4}{2},\frac{15}{2},$ and $\frac{27}{4}$ are unlike fractions. Convert them into like fractions by finding the equivalent fractions of $\frac{4}{2}$ and $\frac{15}{2}$ with denominator $4.$

$\frac{4}{2}=\frac{4\times 2}{2\times 2}=\frac{8}{4}$

$\frac{15}{2}=\frac{15\times 2}{2\times 2}=\frac{30}{4}$

So, total quantity of milk distributed $=\frac{8}{4}+\frac{30}{4}+\frac{27}{4}=\frac{65}{8}=8\frac{1}{8}L$