Lou recently painted his guest bedroom pale blue. the mixture of paint he used contained 2/3 gallon of...

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Lou recently painted his guest bedroom pale blue. the mixture of paint he used contained 2/3 gallon of white paint for every 2 gallon of blue paint used. How many gallons of white paint will Lou need in order to paint his living room the same shade of pale blue?

1) Lou will need twice as many gallons of paint for living room as he needed for the bedroom
2) Lou used 4 gallons of white paint for the guest bedroom

OA C
Source: — Data Sufficiency |

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AAPL wrote:
Mon Dec 21, 2020 4:12 am
GMAT Prep

Lou recently painted his guest bedroom pale blue. the mixture of paint he used contained 2/3 gallon of white paint for every 2 gallon of blue paint used. How many gallons of white paint will Lou need in order to paint his living room the same shade of pale blue?

1) Lou will need twice as many gallons of paint for living room as he needed for the bedroom
2) Lou used 4 gallons of white paint for the guest bedroom

OA C
We have,
\(\dfrac{2}{3}W : 2B\)
\(2W : 6B\)

So, the ratio of paint required is \(2\) (White) : \(6\) (Blue)

Statement 1:
Lou will need twice as many gallons of paint for living room as he needed for the bedroom. But we don't know the amount of paint required for a bedroom. Hence 1 is insufficient. \(\Large{\color{red}\chi}\)

Statement 2:
Lou used 4 gallons for bedroom. But, no info about living room. Hence 2 is insufficient. \(\Large{\color{red}\chi}\)

Combining 1 & 2: Living room requires 8 gallons of paint. Hence Sufficient. \(\Large{\color{green}\checkmark}\)

Therefore, C