thinned to a ratio

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Fri Jul 23, 2010 3:54 am

Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 liters of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?
A. 1 liter paint
B. 1 liter water
C. ½ liter water and one liter paint
D. ½ liter paint and one liter water
E. ½ liter paint

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Source: Beat The GMAT — Problem Solving | Fri Jul 23, 2010 3:54 am

kvcpk: Legendary Member; Posts: 1893; Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members; Thanked: 215 times

by kvcpk » Fri Jul 23, 2010 3:56 am

selango: Legendary Member; Posts: 1460; Joined: Tue Dec 29, 2009 1:28 amFollowed by: 7 members; Thanked: 135 times

by selango » Fri Jul 23, 2010 4:03 am

P:W=2:1.5

P:W=3:3

Add 1 litre paint.Ratio is 4:3-->2:1.5

Pick A

--Anand--

Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Thu Dec 14, 2017 5:17 pm

sanju09 wrote:Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 liters of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?
A. 1 liter paint
B. 1 liter water
C. ½ liter water and one liter paint
D. ½ liter paint and one liter water
E. ½ liter paint

We are given that the painter needs a ratio of paint to water of 2x : 1.5x.

However, he actually has 3 litres of paint and 3 litres of water, which make a ratio of 1 : 1. To make the correct ratio of paint to water, he must add more paint.

We can let n = the number of litres of paint he must add.

(3 + n)/3 = 2x/1.5x

(3 + n)/3 = 2/1.5

1.5(3 + n) = 6

4.5 + 1.5n = 6

1.5n = 1.5

n = 1

Thus, he needs to add 1 litre of paint.

Answer: A

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