58.0k views
2 votes
You have 10 liters of a juice to blend that is 60% juice. How many liters of pure juice (100%) need to be added in order to make a blend that is 80%

User Korie
by
7.1k points

1 Answer

3 votes

Answer:

10 liters

Explanation:

#The amount of pure juice is obtained by multiplying its proportion by the total:


Juice=0.6* 10\\\\=6 \ l

#To make a blend of 80% means that the proportion of juice in the new blend is 80%.

-Juice is 4x the amount of water added.

Water=10-6=4 liters.

=>Amount of pure juice in the blend=4*4=16 liters

#Additional juice=Proportion- 6

=16-6

=10 liters

Hence, 10 liters of juice have to be added to achieve a 80% blend.

User Edwin Liu
by
7.5k points