You must add 7.5 pt of the 30 % sugar to the 5 % sugar to get a 20 % solution.
You can use a modified dilution formula to calculate the volume of 30 % sugar.
V_1×C_1 + V_2×C_2 = V_3×C_3
Let the volume of 30 % sugar = x pt. Then the volume of the final 20 % sugar = (5 + x ) pt
(x pt×30 % sugar) + (5 pt×5 % sugar) = (x + 5) pt × 20 % sugar
30x + 25 = 20x + 100
10x = 75
x = 75/10 = 7.5
To obtain the sugar solution of 20%, 7.5 pints of 30% sugar solution have been added.
Since 30% sugar solution has been added to the 5% solution to obtain the total solution of 20%. The volume of 5% solution has been 5 pints, let the amount of 30% sugar solution will be x. The final volume of the 20% sugar solution will be 5 + x.
The dilution formula will be:
The volume of 30% solution [tex]\times[/tex] concentration + the volume of 5% solution [tex]\times[/tex] concentration = Volume of 20% solution [tex]\times[/tex] concentration
x [tex]\times[/tex] 30 + 5 [tex]\times[/tex] 5 = 20 [tex]\times[/tex] (5 + x)
30x + 25 = 100 + 20x
10x = 75
x = 7.5 pints.
To obtain the sugar solution of 20%, 7.5 pints of 30% sugar solution have been added.
For more information about the solution, refer to the link:
https://brainly.com/question/7208939
