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

The amount of Apple juice poured in each glass is
`(7)/(4)` quarts .

Explanation:

Given as :

The quantity of apple juice in pitcher =
`(11)/(12)`

Let the amount equally poured in the 3 glass =
`(x)/(3)` quart

The remaining amount in the pitcher after pour =
`(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,
`(11)/(12)` -
`(x)/(3)` =
`(1)/(3)`

or,
`(11)/(12)` -
`(1)/(3)` =
`(x)/(3)`

Or,
`(11 - 4)/(12)` =
`(x)/(3)`

Or,
`(7)/(12)` =
`(x)/(3)`

∴ 7 × 3 = 12 × x

or, 21 = 12 × x

So , x =
`(21)/(12)`

Or, x =
`(7)/(4)`

Hence The amount of Apple juice poured in each glass is
`(7)/(4)` quarts . Answer