Diane find that 5/2 cans of paint are just enough to paint 1/3 of her

Question

Diane find that 5/2 cans of paint are just enough to paint 1/3 of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?

A. 5
B. 15/2
C. 10
D. 25/2
E. 15

GyanOne · Answer

She will need 5 cans to paint the rest of this room and seven and a half for the next room for a total of twleve and half cans.

D it is.

KarishmaB · Answer

Notice that for 1/3 of a room, she used 2.5 cans.
For 2 full rooms (i.e. 6 times the initial work), she will need a total of 2.5 * 6 = 15 cans

So she needs 15 - 2.5 = 12.5 more cans to finish her room and paint another room of the same size.

GyanOne · Answer

Other questions based on the unitary method: if-sally-can-paint-a-house-in-4-hours-and-john-can-paint-141777.html lindsay-can-paint-1-x-of-a-certain-room-in-20-minutes-what-59488.html

viktorija · Answer

We can use ratios to solve this problem:
We know that 2.5 cans = 25/10 is used to paint 1/3 of a room. We need to find how much paint we'll need in order to paint the rest of the room (1-1/3=2/3) and 1 room more, hence 2/3+1=5/3

25/10 : 1/3 = x : 5/3

(25/10)*(5/3) = (1/3)*x
25/6=x/3
6*x=25*3
x=75/6
x=12.5

ajdse22 · Answer

To do this problem we can pick a convenient number. Let us say the total room is 9 parts. To do 3 parts She needs 2.5. To do the next 6, she needs 5. Then to do all 9 she needs 7.5. So total required cans are 7.5+5=12.5.

Mathivanan Palraj · Answer

Diane has to finish painting two rooms of 6 parts, each part equal to one-third of a room.
For 1 part she needs 2 and a half cans of paint. 
For another 5 parts she needs 5*2.5=12.5 cans

roadrunner · Answer

5/2 cans paint 1/3 of the room

1 can paints 2/15 of the room --> to paint a room she needs 7.5 cans

She'll need 5 more cans to paint remaining of the room and another 7.5 cans to paint the second room

Total 12.5 cans (Choice D)

generis · Answer

Proportion with multiplier approach

Remaining work =  \frac{5}{3} 
Let x = amount of paint needed

\frac{\frac{5}{2}}{\frac{1}{3}}  =  \frac{x}{\frac{5}{3}}

Use the multiplier for the denominator:
 \frac{1}{3}  --->  \frac{5}{3}  means  \frac{1}{3}  was multiplied by 5.

So multiply the numerator by 5.
 \frac{5}{2}  * 5 =  \frac{25}{2}  or 12 \frac{1}{2}

Answer D

Straight proportion method

Remaining work:  \frac{5}{3} 
Let x = amount of paint needed

\frac{\frac{5}{2}}{\frac{1}{3}}  =  \frac{x}{\frac{5}{3}}

\frac{1}{3} x =  \frac{5}{2}  *  \frac{5}{3}

\frac{1}{3} x =  \frac{25}{6}

x =  \frac{25}{6}  * 3

x =  \frac{25}{2}  or 12 \frac{1}{2}

Answer D

KanishkM · Answer

IMO answer is D

Given 1/3 room is painted by 5/2 cans of paint 
remaining 2/3 room will be painted by 5 cans of paint

Now,How many more cans of paint will she need to finish her room and paint a second room of the same size
=> 5 + 5/2 + 5
=> 25/2

Archit3110 · Answer

5/2 can to finish 1/3 room
so 1 room
5/2 / 1/3 = 15/2
and 2/3 of room 
15/2 * 2/3 = 5

total required 15/2 + 5
25/2 IMO D

mt7777 · Answer

Bunuel  are you sure this is a 700 question? I solved it in 41 secs and I can't even solve many 600 questions after 10 mins. This question is very simple. I guess its probably 600-700.

Abhishek009 · Answer

2.5 cans are required to paint 1/3 rd part of the room...

So, 7.5 cans are required to paint the complete room.

Thus, no cans required to finish this room is 5 (ie 7.5 - 2.5) + 7.5 = 12.5

Now, check the options,Answer must be (D) as 25/2 = 12.5

Bunuel · Answer

The difficulty level of a question is calculated automatically based on the timer stats from the users which attempted the question.

bumpbot · Answer

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Diane find that 5/2 cans of paint are just enough to paint 1/3 of her

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Diane find that 5/2 cans of paint are just enough to paint 1/3 of her

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