Question

You bought a large carton of juice of dimensions given below for the journey. If you consume 618.75 cu cm of juice each day, find out how long will the juice last?

• A. 7 days
• B. 6 days
• C. 8 days
• D. 5 days

Answer 1

The correct option is A 7 days

Length of the juice carton = 16.5 cm

Width of the juice carton $=10\frac{1}{2}$cm

We will convert the mixed fraction $10\frac{1}{2}$into an improper fraction.

$10\frac{1}{2}=\frac{2\times 10+1}{2}=\frac{21}{2}$

So, width $=\frac{21}{2}$cm

Height of the carton =25 cm

Volume of the carton =Length $\times$Width $\times$Height
= $16.5\times \frac{21}{2}\times 25$
= 4331.25 cu cm

Volume of juice consumed in a day = 618.75 cu cm

Number of days the juice packet will last $=\frac{\text{Volume of the juice packet}}{\text{Volume of juice consumed in a day}}$

$=\frac{4331.25}{618.75}$
=7 days

Option c is correct.