Question

When making a batch of orange juice for her basketball team Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make in all? She poured the juice in 2 quart containers how many containers could she feel?

Answer 1

48 cups of orange juice, 24 containers.

Explanation:

Given:

Jackie used 5 times as much water as concentrate to make orange juice.

There were 32 more cups of water than concentrate.

Question asked:

How much juice did she make in all ?

She poured the juice in 2 quart containers how many containers could she fill ?

Solution:

Let concentrate used in the juice =
`x`

As Jackie used 5 times as much water as concentrate:

Then water used in the juice =
`5x`

According to question:

To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice, Jackie used 5 times as much water as concentrate, we will write this as:-

`x+5x=x+x+32\\6x=2x+32\\`

Subtracting both sides by
`2x`

`4x=32\\`

Dividing both sides by 4

`x=8`

Concentrate used in the juice =
`x` = 8 cups

Water used in the juice =
`5x` =
`5*8=40\ cups`

Total quantity of juice =8 + 40 = 48 cups

Thus, she made 48 cups of orange juice for her basketball team.

Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart

Number of 2 quart containers = 48 cups
`/` 2 = 24 containers

Thus, she can fill 24 containers.