Answer:
33 mL
Explanation:
It is important to recognize that the total amount of pure syrup remains constant:
Total syrup in the stock solution = total syrup in dilute solution
Thus, we can use the dilution formula
V₁c₁ = V₂ c₂
Data:
V₁ = ?; c₁ = 80 %
V₂ = 47 mL; c₂ = 24 %
Calculations:
1. The volume of stock syrup
[tex]\begin{array}{rcl}V_{1}c_{1} & = & V_{2}c_{2}\\V_{1}\times80 \, \% & = & \text{47 mL}\times 24 \, \%\\80V_{1} & = & \text{1130 mL}\\V_{2}&=& \dfrac{\text{1130 mL}}{80}\\\\&=&\text{14 mL}\\\end{array}\\\text{You need $\textbf{14 mL}$ of stock syrup.}[/tex]
2. The volume of soda solution
Total volume of dilute solution = 47 mL
The volume of stock syrup = 14
Volume of soda solution = 33 mL
You need 33 mL of soda solution.
