Last visit was: 08 Jun 2024, 20:05 It is currently 08 Jun 2024, 20:05
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Grandmother's Punch hangover cure is a mix of two ingredients: a herba

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93612
Own Kudos [?]: 630182 [8]
Given Kudos: 82187
Send PM
CAT Tests Forum Quiz Mode
Grandmother's Punch hangover cure is a mix of two ingredients: a herba [#permalink] Grandmother's Punch hangover cure is a mix of two ingredients: a herba   25 May 2021, 02:45
1
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

71% (02:35) correct 29% (02:42) wrong based on 92 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
Grandmother's Punch hangover cure is a mix of two ingredients: a herbal extraction that contains 20% alcohol and apricot cider that contains 5% alcohol. If a 750-milliliter Grandmother's Punch bottle has 87 milliliters of alcohol, how much apricot cider does it contains?

A. 330 milliliters
B. 420 milliliters
C. 565 milliliters
D. 630 milliliters
E. 670 milliliters
ShowHide Answer
Official Answer
B
User avatar
B
Akshayiray
Intern
Intern
Joined: 07 Jun 2017
Posts: 6
Own Kudos [?]: 5 [1]
Given Kudos: 45
Send PM
Re: Grandmother's Punch hangover cure is a mix of two ingredients: a herba [#permalink] Grandmother's Punch hangover cure is a mix of two ingredients: a herba   28 May 2021, 22:51
1
Kudos
Start by looking at the options
Option A and B gives us direction to calculate total quantity 750 ml = 330ml+420ml

if we consider 330ml is herbal extraction then alcohol in herbal extraction is 20% 330 = 66 ml
5% alcohol in 420 ml apricot cider = 21ml

66+21 = 87 ml of alcohol in a bottle

Option B
User avatar
L
GMATWhizTeam
GMATWhiz Representative
Joined: 07 May 2019
Posts: 3410
Own Kudos [?]: 1827 [0]
Given Kudos: 68
Location: India
GMAT 1: 740 Q50 V41
GMAT 2: 760 Q51 V40
Send PM
Re: Grandmother's Punch hangover cure is a mix of two ingredients: a herba [#permalink] Grandmother's Punch hangover cure is a mix of two ingredients: a herba   29 May 2021, 04:18
Expert Reply
Two main ingredients include:
1. Herbal extraction (HE) containing 20% alcohol
2. Apricot cider (AC) containing 5% alcohol

Let the total concentration of HE be x milliliters and the total concentration of AC be y milliliters.
Then, the amount of alcohol contained in HE = 20% of x = \(\frac{x}{5}\)
The amount of alcohol contained in AC = 5% of y = \(\frac{y}{20}\)

Given, the total amount of alcohol contained in the bottle = 87 milliliters
Thus, \(\frac{x}{5}\) + \(\frac{y}{20}\) = 87 ⟹ 4x + y = 1740 ………. (1)

Also, total concentration of the two ingredients = 750
Thus, x + y = 750 ………. (2)

Solving (1) and (2) simultaneously, we get
4x + y = 1740 ………. (1) × 1
x + y = 750 ………. (2) × 4

4x + y = 1740 ……… (1)
4x + 4y = 3000 ………. (3)

On subtracting (1) from (3), we get:
3y = 1260
⟹ y = 420

Hence, the correct answer is Option B.
avatar
B
VarshaSV
Intern
Intern
Joined: 12 Aug 2018
Posts: 2
Own Kudos [?]: 1 [0]
Given Kudos: 43
Send PM
Grandmother's Punch hangover cure is a mix of two ingredients: a herba [#permalink] Grandmother's Punch hangover cure is a mix of two ingredients: a herba   31 May 2021, 05:53
Alligation.

% of alcohol in mixture = \(\frac{87 *100 }{750}\) = \(\frac{58}{5\\
}\\
\)


Apricot______:_______Herbal
5__________________20
__________58/5_______
20-(58/5)________(58/5)-5

Apricot : Herbal = \((20-\frac{58}{5}): (\frac{58}{5}-5)\)

\(\frac{Apricot cider }{ Total}\) = \( (20-\frac{58}{5}) / [(20-\frac{58}{5}) + (\frac{58}{5})-5]\\
\)


\(\frac{Apricot cider}{750 }\) = \(\frac{42}{5*15}\)
Apricot cider = \(\frac{(42 * 750) }{ (5 * 15)} = 420 (B)\\
\)
avatar
B
SHEHAB01
Intern
Intern
Joined: 24 Oct 2020
Posts: 12
Own Kudos [?]: 7 [1]
Given Kudos: 26
Send PM
Re: Grandmother's Punch hangover cure is a mix of two ingredients: a herba [#permalink] Grandmother's Punch hangover cure is a mix of two ingredients: a herba   07 Jun 2021, 07:15
1
Kudos
Let,
quantity of herbal extraction alcohol=xml
& apricot ciber alcohol=(750-x)ml
A/Q,
20% of x + 5% of (750-x)=87
=>15x=4950
=>x=330
so, Apricot Ciber alcohol,
=750-330
=420ml

so, ans will be B.

Posted from my mobile device
GMAT Club Bot
gmatclubot
Re: Grandmother's Punch hangover cure is a mix of two ingredients: a herba [#permalink]
07 Jun 2021, 07:15
Moderator:
Bunuel
Math Expert
93612 posts