Fill a jar halfway with liquid, 3 parts water and 5 parts syrup. How much of the combination should be drained and replaced with water such that the mixture is half syrup and half water?
A. 1/3
B. 1/4
C. 1/5
D. 1/7
Answer:C
Fill a jar halfway with liquid, 3 parts water and 5 parts syrup. How much of the combination should be drained and replaced with water such that the mixture is half syrup and half water?
A. 1/3 B. 1/4 C. 1/5 D. 1/7
Explanation: Assume the vessel is originally filled with 8 litres of liquid.Allow for the replacement of x litres of this liquid with water.Water quantity in new mixture = 3 - 3x/8 + x litres,Syrup quantity in new mixture = 5 - 5x/8 litres,3 - 3x/8 + x = 5 - 5x40 - 5x = 5x + 24,10 x 16 =x = 8/5 x = 8/5 x = 8/5 x = 8/5,As a result, a portion of the mixture was changed = 8/5 x 1/8 = 1/5.