Question

$\text{Out of}\frac{8}{9}\text{kg of cake-mix,}\frac{6}{9}\text{kg is flour.}\text{The percentage of flour in the cake-mix is}$

• A. $80$%
• B. $60$%
• C. $75$%
• D. $65$%

Answer 1

The correct option is C $75$%

$\text{Weight of flour}=\frac{6}{9}\text{kg}$

$\text{Total weight of cake-mix}=\frac{8}{9}\text{kg}$

$\text{Fraction of flour in the cake-mix}=\frac{6}{9}\text{kg}÷\frac{8}{9}\text{kg}$

$\text{Calculating}\frac{6}{9}÷\frac{8}{9}\text{using the}keep-change-flip\text{method, we get:}$


$\text{Calculating}\frac{6}{9}\times \frac{9}{8}\text{, we get:}$

$\frac{6}{9}\times \frac{9}{8}=\frac{6\times 9}{9\times 8}=\frac{54}{72}=\frac{3}{4}=\frac{3\times 25}{4\times 25}=\frac{75}{100}$

$\text{Converting}\frac{75}{100}\text{into percentage, we get:}$

$\frac{75}{100}=\frac{75}{100}\times 100=75$%