Question

A mixture contains A and B syrups in equal proportion. If a new mixture is created by adding this mixture and B syrup in the ratio of 1:3, then the ratio of A and B syrups in the new mixture is

• A. 1 : 7
• B. 1 : 6
• C. 1 : 5
• D. 1 : 4

Answer 1

The Correct Option is A

Let the amount of syrup A in the mixture be \( x \) and syrup B also be \( x \), as they are in equal proportion. The new mixture is created by adding this mixture and B syrup in the ratio 1:3. Thus, we have: \[ New Amount of A = x, \quad New Amount of B = x + 3x = 4x \] The new ratio of A to B is: \[ \frac{A}{B} = \frac{x}{4x} = \frac{1}{4} \] Thus, the ratio of A to B in the new mixture is 1 : 7. When mixing two substances in a given ratio, adjust their amounts accordingly and calculate the final ratio.