Question

The parts in the given bar represent the number of sugar bags available in Steve’s restaurant. The blue parts represent the sugar bags that are used every day out of the total number of sugar bags that are available. Determine the fraction of sugar bags that are used out of the total number of sugar bags that are available for $30$ days. Will it be equivalent to the fraction of sugar bags that are used in a day?

• A. $\frac{60}{120},$ Yes
• B. $\frac{60}{240},$ Yes
• C. $\frac{30}{120}$, Yes
• D. $\frac{90}{270},$ No

Answer 1

The correct option is B $\frac{60}{240},$ Yes

Number of sugar bags used in a day $=2$
Total number of sugar bags available for a day $=8$

The fraction representing the usage of sugar in a day $=\frac{2}{8}$

Number of days in a month $=30$

Number of sugar bags used in a month $=2\times 30=60$
Total number of sugar bags available for a month $=8\times 30=240$

The fraction of sugar bags used out of the total number of sugar bags available for $30$ days $=\frac{60}{240}$

Hence, the fraction of sugar bags that are used in a month is $\frac{60}{240}$, Yes, it is equivalent to $\frac{2}{8}$ as $\frac{2\times 30}{8\times 30}=\frac{60}{240}.$