It is currently 21 Jan 2018, 02:57

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A certain bag contains a mixture of nuts and raisins, in the ratio of

Author Message
Intern
Joined: 27 Dec 2017
Posts: 1

Kudos [?]: 0 [0], given: 0

A certain bag contains a mixture of nuts and raisins, in the ratio of [#permalink]

### Show Tags

27 Dec 2017, 12:39
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

A certain bag contains a mixture of nuts and raisins, in the ratio of 3:2, nuts to raisins by weight. If 15 pounds of nuts are removed, and are replaced with 20 pounds of raisins, so that the new ratio is 3:4, how many pounds of raisins were in the original mixture?

Kudos [?]: 0 [0], given: 0

VP
Joined: 22 May 2016
Posts: 1256

Kudos [?]: 466 [0], given: 683

A certain bag contains a mixture of nuts and raisins, in the ratio of [#permalink]

### Show Tags

27 Dec 2017, 18:04
ansch wrote:
A certain bag contains a mixture of nuts and raisins, in the ratio of 3:2, nuts to raisins by weight. If 15 pounds of nuts are removed, and are replaced with 20 pounds of raisins, so that the new ratio is 3:4, how many pounds of raisins were in the original mixture?

1) Original ratio with a multiplier

$$\frac{N}{R} = \frac{3x}{2x}$$

2) Set up the equation

15 pounds of nuts are removed, and are replaced with 20 pounds of raisins (20 pounds of raisins are added)

$$\frac{3x - 15}{2x + 20}=$$ (LHS)

And the new ratio is $$\frac{3}{4}$$ (RHS)

$$\frac{3x - 15}{2x + 20} = \frac{3}{4}$$

$$4(3x - 15) = 3(2x + 20)$$
$$12x - 60 = 6x + 60$$
$$6x = 120$$
$$x = 20$$

So the multiplier for the original ratio is x = 20

3) How many pounds of raisins in the original mixture?
x = 20
Raisins = 2x = (2)(20) =

40 pounds of raisins in original mixture
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Kudos [?]: 466 [0], given: 683

A certain bag contains a mixture of nuts and raisins, in the ratio of   [#permalink] 27 Dec 2017, 18:04
Display posts from previous: Sort by