Question

The amount of pizza eaten by each person at a birthday party is represented on the line plot. What is the total amount of pizza represented in this line plot?

• A. $25$
• B. $24\frac{3}{4}$
• C. $24\frac{1}{2}$
• D. $24$

Answer 1

The correct option is C $24\frac{1}{2}$

$1\frac{1}{4}=\frac{5}{4}$
$1\frac{3}{4}=\frac{7}{4}$
$2=\frac{2\times 4}{1\times 4}=\frac{8}{4}$
$2\frac{1}{2}=\frac{5}{2}=\frac{5\times 2}{2\times 2}=\frac{10}{4}$
$2\frac{3}{4}=\frac{11}{4}$
$3=\frac{3\times 4}{1\times 4}=\frac{12}{4}$

The total $=1\frac{1}{4}+3\times 1\frac{3}{4}+2+3\times 2\frac{1}{2}+2\times 2\frac{3}{4}+3$
$=\frac{5}{4}+3\times \frac{7}{4}+2+3\times \frac{5}{2}+2\times \frac{11}{4}+3$
$=\frac{5}{4}+3\times \frac{7}{4}+\frac{8}{4}+3\times \frac{10}{4}+2\times \frac{11}{4}+\frac{12}{4}$
$=\frac{5+3\times 7+8+3\times 10+2\times 11+12}{4}$
$=\frac{5+21+8+30+22+12}{4}$
Total $=\frac{98}{4}=24\frac{1}{2}$