Question

7) 200 Litres of a punch that contains 35% fruit juice is mixed with 300 L of another punch. The resulting fruit punch is 20% fruit juice. Find the percent of fruit juice in the 300L of punch.

Answer 1

200 L contains 35% fruit juice

Let us find the quantity of the juice in it

`200*(35)/(100)=70`

Then 200 L of the punch contains 70 L of juice

Since 300 L added, then the total of the mixture will be

300 + 200 = 500 L

This 500 L contains 20% of Juice

Let us find it

`500*(20)/(100)=100`

Then 500 L of the punch contains 100 L of juice

Let us subtract the amount of juice of the 200 L from it to find the amount of juice in the 300 L

100 - 70 = 30 L

Then the 300 L of the punch contains 30 L of juice

We need to find its percentage, then divide it by the total 300, then multiply the answer by 100%

`(30)/(300)=(1)/(10)`

Multiply it by 100%

`(1)/(10)*100=10`

The percentage of juice in the 300 L of punch is 10%