Question

Jack sells 4 quarts of fruit juice on day 1. Every day, his sales increase by 1 pint. How much juice will he sell on day 21?

• A. 20 pt
• B. $\frac{21}{2}\text{gal}$
• C. $\frac{7}{2}\text{gal}$
• D. 24 qt

Answer 1

The correct option is C $\frac{7}{2}\text{gal}$

Jack sells 4 qt of juice on the first day. His sales increase by 1 pt every day.

So, on day 2: 1 pt and 4 qt of juice.
On day 3: 2 pt and 4 qt of juice.
On day 4: 3 pt and 4 qt of juice.
On day 5: 4 pt and 4 qt of juice.

Similarly, on day 21, he will sell 20 pt and 4 qt of juice.
We know,
2 pt = 1 qt
$1pt=\frac{1}{2}qt$
$20pt=\frac{20}{2}qt=10qt$
Total amount of juice sold on day 21 = 4 + 10 = 14 qt
We also know, 4 qt = 1 gal
$1qt=\frac{1}{4}\text{gal}$
$14qt=\frac{14}{4}\text{gal}$
$14qt=\frac{7}{2}\text{gal}$
So, Jack will sell $\frac{7}{2}\text{gal}$ of juice on day 21.