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Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 3

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Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 3  [#permalink]

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New post 29 Dec 2017, 09:25
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Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 30 ounces of a mixture consists of x ounces of Chemical X and y ounces of Chemical Y, does the cost of Chemical X in the mixture exceed that of Chemical Y ?

1. The cost of the 30 ounce mixture is less than $160.
2. y < 15

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Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 3  [#permalink]

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New post 29 Dec 2017, 09:58
Chemical X costs $4 per ounce,
Chemical Y costs $8 per ounce.

Given x + y = 30

so cost of the mixture : 4x + 8y = 4x + 8(30-x) = 240 - 4x

statement 1: cost of the mixture is less than 160

240 - 4x < 160 or 4x > 80 or x>20
let's say x = 21 and y = 9

cost of x in the mixture = 21 * 4 = $82
cost of y in the mixture = 9 * 8 = $72

hence : cost of x in the mixture is greater than that of y in the mixture: A
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Re: Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 3  [#permalink]

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New post 29 Dec 2017, 10:42
QZ wrote:
Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 30 ounces of a mixture consists of x ounces of Chemical X and y ounces of Chemical Y, does the cost of Chemical X in the mixture exceed that of Chemical Y ?

1. The cost of the 30 ounce mixture is less than $160.
2. y < 15


This is a "stolen" OG question: https://gmatclub.com/forum/material-a-c ... 82349.html
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Re: Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 3  [#permalink]

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New post 29 Dec 2017, 10:53
But certainly I didn't stole it. Found it in my practice material.

Sent from my SM-G615F using GMAT Club Forum mobile app
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Re: Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 3  [#permalink]

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New post 29 Dec 2017, 10:57
QZ wrote:
But certainly I didn't stole it. Found it in my practice material.

Sent from my SM-G615F using GMAT Club Forum mobile app


Sure. Some prep companies just change numbers in official questions and publish them as their own. In such cases it's much better to practice official ones than copies.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 3  [#permalink]

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New post 29 Dec 2017, 11:09
A : 4x + 8y < 160
x + 2y < 40 (dividing by 4)
Also we have,
x + y = 30
Therefore,
y < 40 -30 < 10
If y < 10 , then cost of chemical Y is < 8*10 < 80.

Since x + y = 30, y < 10 -> x > 20.

Therefore cost of material X is
> 4*20 > 80

Hence (1) is sufficient.

(2) is not. So answer is A.

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Re: Chemical X costs $4 per ounce, and Chemical Y costs $8 per ounce. If 3 &nbs [#permalink] 29 Dec 2017, 11:09
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