Question

Dora has a pitcher with 11/12 quart of apple juice. She pours an equal amount of the apple juice into 3 glasses. There is still 1/3 remaining in the pitcher. How much apple juice, in quarts is poured into each glass?

Answer 1

Answer:

The amount of Apple juice poured in each glass is $\frac{7}{4}$ quarts .  

Step-by-step explanation:

Given as :

The quantity of apple juice in pitcher = $\frac{11}{12}$

Let the amount equally poured in the 3 glass = $\frac{x}{3}$ quart

The remaining amount in the pitcher after pour =  $\frac{1}{3}$

Now, According to question

The quantity of apple juice in pitcher - The amount equally poured in the 3 glass =The remaining amount in the pitcher after pour

or, $\frac{11}{12}$ - $\frac{x}{3}$  =  $\frac{1}{3}$

or,  $\frac{11}{12}$ - $\frac{1}{3}$ =  $\frac{x}{3}$

Or,  $\frac{11 - 4}{12}$ =  $\frac{x}{3}$

Or,  $\frac{7}{12}$ =  $\frac{x}{3}$

∴   7 × 3 = 12 × x

or, 21 = 12 × x

So , x =   $\frac{21}{12}$

Or, x =   $\frac{7}{4}$

Hence The amount of Apple juice poured in each glass is $\frac{7}{4}$ quarts .   Answer