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polet [3.4K]
3 years ago
12

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?
Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer:

48 cups of orange juice,  24 containers.

Step-by-step 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

<u>As Jackie used 5 times as much water as concentrate:</u>

Then water  used in the juice = 5x

<u>According to question:</u>

<u>To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice</u>, 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\times8=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 \div 2 = 24 containers

Thus, she can fill 24 containers.

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