Question

John takes $1.546$ liters of paint out of a $2.213$ liter-can of paint and Janica takes out $1.645$ liters of paint from a $2.412$ liter-can of paint. Select the correct statement(s).
Statement 1: The amount of paint in the John’s can is more than the amount of paint remaining in Janica’s can.
Statement 2: John takes out more paint than Janica.

• A. None of the statements are correct.
• B. Statements $1$ and $2$ are correct
• C. Only statement $1$ is correct.
  
• D. Only statement $2$ is correct.

Answer 1

The correct option is A None of the statements are correct.

Amount of paint taken out by John $=1.546L$
Amount of paint remaining in the can $=2.213L-1.546L$


Amount of paint taken out by Janica $=1.645L$
Amount of paint remaining in the can $=2.412L-1.645L$



Amount of paint remaining in John’s can and Janica’s can is $0.667L$ and $0.757L,$ respectively.
$0.667<0.757$
The amount of paint remaining in John’s can is less than the amount of paint remaining in Janica’s can.
So, statement $1$ is incorrect.
The amount of paint taken out by John and Janica is $1.546L$ and $1.645L$, respectively.
$1.546<1.645$
So the amount of paint taken out by John is less than the amount of paint taken out by Janica.
So, statement $2$ is also incorrect.