Question

Each packet of wheat weighs $25\frac{1}{5}$ ounces and each packet of rice weighs $50\frac{1}{3}$ ounces. What will the total weight of 1 packet of wheat and 1 packet of rice be?

• A. $75\frac{1}{15}$ oz
• B. $75\frac{8}{15}$ oz
• C. $\frac{226}{5}$ oz
• D. $\frac{225}{3}$ oz

Answer 1

The correct option is B $75\frac{8}{15}$ oz

Weight of 1 packet of rice $=25\frac{1}{5}oz$

$25\frac{1}{5}\text{oz}=\frac{25\times 5+1}{5}=\frac{126}{5}oz$

Weight of 1 packet of wheat $=50\frac{1}{3}$ oz

$50\frac{1}{3}\text{oz}=\frac{50\times 3+1}{3}=\frac{151}{3}oz$

Total weight of 1 packet of rice and 1 packet of wheat $=(\frac{126}{5}+\frac{151}{3})\text{oz}$

As all the fractions in the equation are unlike fractions, we need to convert them into like fractions.

Multiplying $\frac{126}{5}$ by 3 to convert the denominator into 15

$\frac{126}{5}=\frac{126\times 3}{5\times 3}=\frac{378}{15}$

Multiplying $\frac{151}{3}$ by 3 to convert the denominator into 15

$\frac{151}{5}=\frac{151\times 5}{3\times 5}=\frac{755}{15}$

Now, add the two fractions.
$\frac{126}{5}+\frac{151}{3}$

$=\frac{378}{15}+\frac{755}{15}$

$=\frac{378+755}{15}$

$=\frac{1133}{15}=75\frac{8}{15}$

Hence, the total weight of 1 packet of rice and 1 packet of wheat $=\frac{126}{5}+\frac{151}{3}=75\frac{8}{15}$ oz