What is the ratio in which two sugar solutions of concentrations 15% a

Subject not found.

1.	What is the ratio in which two sugar solutions of concentrations 15% and 40% are to be mixed to get a solution of concentration 30% ?
Answer» Let the required ratio be x : y. Then, \(\frac{15X}{100}\) + \(\frac{40y}{100}\) = \(\frac{30(X+y)}{100}\) \(\therefore\) 15x + 40y = 30x + 30y \(\Rightarrow\) 10y = 15x \(\Rightarrow\) \(\frac{X}{y}\)= \(\frac{10}{15}\) = \(\frac{2}{3}\) \(\Rightarrow\) x : y = 2 : 3.

What is the ratio in which two sugar solutions of concentrations 15% and 40% are to be mixed to get a solution of concentration 30% ?

Answer»

Let the required ratio be x : y. Then, \(\frac{15X}{100}\) + \(\frac{40y}{100}\) = \(\frac{30(X+y)}{100}\)

\(\therefore\) 15x + 40y = 30x + 30y

\(\Rightarrow\) 10y = 15x \(\Rightarrow\) \(\frac{X}{y}\)= \(\frac{10}{15}\) = \(\frac{2}{3}\) \(\Rightarrow\) x : y = 2 : 3.