Question

# $A,B,C,D$ and $E$ went to a restaurant. $A$ paid $\frac{1}{2}$ of the bill, $B$ paid $\frac{1}{5}$ of the bill and rest of the bill was shared equally by $C,D,\mathrm{and}E$ .What fraction of the bill was paid by each?

Open in App
Solution

## Finding the fraction of the bill was paid by each $C,D,\mathrm{and}E$:As the bill is paid by all together so let consider the whole bill as $1$Bill paid by $A=\frac{1}{2}×1=\frac{1}{2}$Bill paid by $B=\frac{1}{5}×1=\frac{1}{5}$Remaining bill$=$Total bill $-$Sum of bill paid by $A$ and $B$.Therefore, Remaining bill is $=1-\left(\frac{1}{2}+\frac{1}{5}\right)\phantom{\rule{0ex}{0ex}}=1-\left(\frac{5+2}{10}\right)\phantom{\rule{0ex}{0ex}}=1-\frac{7}{10}\phantom{\rule{0ex}{0ex}}=\frac{10-7}{10}\phantom{\rule{0ex}{0ex}}=\frac{3}{10}$As, rest of the bill was shared equally by $C,D,\mathrm{and}E$.Therefore, fractions of the bill was paid by each$=\frac{3}{10}÷3\phantom{\rule{0ex}{0ex}}=\frac{3}{10}×\frac{1}{3}\phantom{\rule{0ex}{0ex}}=\frac{1}{10}$Hence, the fraction of bill paid by each $C,D,\mathrm{and}E$ is $\frac{1}{10}$.

Suggest Corrections
0