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A Lentil mixture is prepared using 2 different types of lentils: yello

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Bunuel
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A Lentil mixture is prepared using 2 different types of lentils: yello [#permalink] New post   14 May 2020, 01:51
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A Lentil mixture is prepared using 2 different types of lentils: yellow and red. The ratio, in grams, of yellow lentils to red lentils is 3:2. How many grams of yellow lentils are in the mixture?


(1) The ratio of the densities (mass per unit volume) of yellow lentil to red lentil is 2:3.

(2) If 50 grams of yellow lentils are removed from the mixture, the ratio of yellow to red in the resulting mixture is 5:4
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Re: A Lentil mixture is prepared using 2 different types of lentils: yello [#permalink] New post   14 May 2020, 02:31
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Here we need to find grams of lentils.
Question stem gives us ratio 3/2. Only option B is talking about the grams.

Let yellow = 3x, Red = 2x

B says = (3x-50)/2x = 5/4

Solve for x.

A is not giving anything about grams.

So IMO B
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Re: A Lentil mixture is prepared using 2 different types of lentils: yello [#permalink] New post   14 May 2020, 04:17
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The ratio, in grams, of yellow lentils to red lentils is: Y/R= 3/2.

Q. How many grams of yellow lentils (Y) are in the mixture?

(1) The ratio of the densities (mass per unit volume) of yellow lentil to red lentil is 2:3.
We have no information on volume of each lentil. NOT SUFFICIENT

(2) If 50 grams of yellow lentils are removed from the mixture, the ratio of yellow to red in the resulting mixture is 5:4
(Y-50)/R= 5/4
Y/R - 50/R = 5/4
3/2 - 50/R = 5/4
1/4 = 50/R
Red lentils: R= 200 gr
Yellow lentils: Y= 200 * (3/2) = 300 gr
SUFFICIENT

FINAL ANSWER IS (B)

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Re: A Lentil mixture is prepared using 2 different types of lentils: yello [#permalink] New post   14 May 2020, 05:48
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Quote:
A Lentil mixture is prepared using 2 different types of lentils: yellow and red. The ratio, in grams, of yellow lentils to red lentils is 3:2. How many grams of yellow lentils are in the mixture?

(1) The ratio of the densities (mass per unit volume) of yellow lentil to red lentil is 2:3.
(2) If 50 grams of yellow lentils are removed from the mixture, the ratio of yellow to red in the resulting mixture is 5:4


(1) insuf
mass/y:mass/r=2/3, r/y=2/3

(2) sufic
3x-50/2x=5/4, x=100

ans (B)
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Re: A Lentil mixture is prepared using 2 different types of lentils: yello [#permalink] New post   08 Jan 2021, 23:04
A Lentil mixture is prepared using 2 different types of lentils: yellow and red. The ratio, in grams, of yellow lentils to red lentils is 3:2. How many grams of yellow lentils are in the mixture?


(1) The ratio of the densities (mass per unit volume) of yellow lentil to red lentil is 2:3.

This is saying the following massy/voly : massr/volr = 2/3
We have two unknowns. No way to solve.
Insufficient.

(2) If 50 grams of yellow lentils are removed from the mixture, the ratio of yellow to red in the resulting mixture is 5:4
(Y - 50) / R = 5:4

We also know from the stem that Y:R = 3:2

Two equations, two unknowns.

Sufficient.
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Re: A Lentil mixture is prepared using 2 different types of lentils: yello [#permalink]
08 Jan 2021, 23:04
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