Sarthak had just set up a drinking stall. He mixes 3/4 L of syrup with 11/12 of water.
a) What Volume of drink does he have ?
b) If he has 8 L of syrup in the beginning, what fraction of syrup does he have left ?
please give your answer with full explanation I will mark the correct answer brainliest
Answers
in vessel, 3 parts are water, and 5 parts syrup.
So total it is divided in 8 parts.
So, water = 3/8 and syrup = 5/8
To make them equal, 1/2 = 4/8 of both water and syrup,
suppose we replace x part of liquid by water then,
and then both must be same.
water in drawn part : 3x/8 and syrup : 5x/8
After replacement : water = water before replacement - 3x/8(removed) + x(replaced)
syrup=syrup before replacement - 5x/8(removed)
To make them equal :
water before replacement + 5x/8 = syrup before replacement - 5x/8
So, syrup before replacement - water before replacement = 10x/8 = 5x/4
So, 5/8 part - 3/8 part = 5x/4
So, 1/4 part = 5x/4
So, x = 1/5 part
Step-by-step explanation:
(a) 11/12L+3/4L=11+9/12=20/12litre. (b) 8L-3/4L=32-3/4=29/12litre.