We want to see how many gallons of liquid we will have in the given mixture. We will find that there are 8 gallons of liquid in the mixture.
In this problem, we create a mixture of 1 gallon of water with 7 gallons of juice.
Notice that gallon is a unit of volume, an extensive property (which means that if we add two things with volumes V1 and V2, the final volume is V = V1 + V2)
Then in this case the final volume of the mixture is just:
V = 1 gal + 7 gal = 8 gal
We will have 8 gallons of the mixture.
If you want to learn more about volumes, you can read:
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