30 cans of paint A or 50 cans of paint B are required to paint a wall.

Question

30 cans of paint A or 50 cans of paint B are required to paint a wall. If x cans of paint A and 30 cans of paint B are used to paint the same wall, what is the value of X?

A. 9
B. 12
C. 15
D. 18
E. 24

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Dereno · Answer

Let 30 can of A paint 100% of the wall
50 cans of B paint 100% of the wall.

If 50 cans = 100%
1 can of B = 2%

Given 30 cans of B has been used = 2%*30 = 60% of work is completed.

Remaining work 40%. 
Can A 30 nos = 100 %
1 can A = 100/30 %
Using unitary method

X = 40%
1 = 100/30 %
X = 40*30 /100 
=12

GMATinsight · Answer

i.e. 30 A = 50B now, x cans of paint A and 30 cans of paint B = xA +30B = xA + 30*(3A/5) = (18+x)A Now, same wall hence, (18+x)A = 30 A i.e. A = 12 Answer: Option B Related Video: https://www.youtube.com/watch?v=CRMy6sFqAiM Like and Subscribe to YouTube channel | access 1100+ more FREE videos | Every subscription matters!!! Subscribe to modular courses | link: https://gmatinsight.com/gmat-2/

Missinga · Answer

30A cans can paint= W wall 
30A= W...(A=W/30)

50B cans can paint= W wall
50B= W...(B=W/50)

xA and 30B cans can paint= W wall 
xA+30B= W 
Put values of A and B 
x(W/30)+30(W/50)= W (W cancels each other) 
(x/30)+(3/5)=1 (take LCM) 
(5x+90)/150= 1
5x+90= 150
5x= 150-90= 60
x= 60/5 = 12

Answer: B

ManifestDreamMBA · Answer

30sec solution 
Total A needed = 30
Also, 30A = 50B => 3A = 5B

Given 30B are available
30B = 5B*6 = 3A*6 = 18A
Remaining A or value of x = 30-18 = 12

SHADOW53 · Answer

To paint the wall we either require 30 cans of paint A or 50 cans of paint B.

We are told that  30 cans of paint B are used , so  we need 20 more cans of paint B  to finish our work.

The ratio between paint A and paint B is 3:5, i.e. 3 cans of paint A is similar to 5 cans of paint B.
If 20 cans of paint B is required then, 
3/5 = x/20

which gives,  x = 12

30 cans of paint A or 50 cans of paint B are required to paint a wall.

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GMAT Problem Solving (PS) Questions

30 cans of paint A or 50 cans of paint B are required to paint a wall.

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards