Question

A scientist had 3 1/2 liters of vinegar. He poured 2/3 of the vinegar into beaker. He then used 3/5 of the vinegar in the beaker for an experiment. In total, how many milliliter of vinegar did the scientist have left after experiment?

Answer 1

A)2100 ml

Explanation:

Given total vinegar is 3 1/2 liters and the used vinegar is 3/5 of the vinegar in the beaker:

#First calculate the amount of vinegar not poured in the beaker:

`V_o=V_t-V_b\\\\=3(1)/(2)(1-(2)/(3))\\\\=1(1)/(6)`

#Calculate amount of vinegar used in experiment:

`V_b=(2)/(3)V_t=(2)/(3)(3(1)/(2))=2(1)/(3)\\\\V_u=(3)/(5)V_b=(3)/(5)* 2(1)/(3)=1(2)/(5)`

#The unused vinegar is therefore calculated by subtracting the used vinegar from the total at the start of the experiment:

`V_r=V_t-V_u\\\\=3(1)/(2)-1\frac{2}5}\\\\=2(1)/(10)* 1000\ ml\\\\=2100\ ml`

Hence, the unused vinegar is 2100 ml