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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A vending machine randomly dispenses four different types of [#permalink]

Show Tags

21 Mar 2008, 23:18

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
100% (01:50) wrong based on 1 sessions

HideShow timer Statistics

A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.25, and there are exactly 90 candies, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?

A $3.00 B $20.75 C $22.50 D $42.75 E $45.00 _________________

from: "There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies."

we can conclude following ratio: 4:2:2:1 or 40:20:20:10

To satisfy the condition of buying at least three of each type of candy, we have to buy N=40+20+1=61 P=61*0.25$=15.25$ So, I picked B.

BTW, 90*0.25$=22.5$, Therefore, C,D,E are out. A is too small. So B remains _________________

A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.25, and there are exactly 90 candies, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?

A $3.00 B $20.75 C $22.50 D $42.75 E $45.00

I confused this: "three of each type of candy", if it means "each type three" I think A win. What do you think? _________________

at least three of each type of candy: 3 apple, 3 orange, 3 strawberry, and 3 grape candies.

N=40+20+20+3=83 P=83*0.25=20.75$

Walker, Why not N = 10 + 20 + 20 + 3 ?

You are deserved to 51!

Sondenso,

What is the guarantee that the last 3 are Grape Candies, they could be very well Apple[since Orange and Strawberry are completely used as we picked 20,20 of them] thus to make sure there are 3 of each, we need to make sure, we pick up ALL of the rest of the candies but for the least number variant.

at least three of each type of candy: 3 apple, 3 orange, 3 strawberry, and 3 grape candies.

N=40+20+20+3=83 P=83*0.25=20.75$

Walker, Why not N = 10 + 20 + 20 + 3 ?

You are deserved to 51!

Sondenso,

What is the guarantee that the last 3 are Grape Candies, they could be very well Apple[since Orange and Strawberry are completely used as we picked 20,20 of them] thus to make sure there are 3 of each, we need to make sure, we pick up ALL of the rest of the candies but for the least number variant.

Hope this helps

Hey, this concept have just come up to me. I tried to understand the logic. But Honestly, I did not understand. Do you guys mind writting it in more detail? Many thanks. _________________

we have: the number of apple candies = Na=40 the number of orange candies = No=20 the number of strawberry candies= Ns = 20 the number of grape candies = Ng = 10

our question: "what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?"

If we get 40 candies, we can get only 40 apple candies and therefore N=40 does not guaranty that we will have always 3 of each type.

If we get 60 candies, we may get 40 apple candies and 20 orange candies - no guarantees If we get 80 candies, we may get 40 apple candies, and 20 orange candies, and 20 strawberry - no guarantees If we get 82 candies, we may get 40 apple candies, and 20 orange candies, 20 strawberry, and 2 grape candies - no guarantees If we get 83 candies, we will always get at least three of each type of candy: 3 apple, 3 orange, 3 strawberry, and 3 grape candies, that is, we will get 3 of each type regardless chance. _________________

we have: the number of apple candies = Na=40 the number of orange candies = No=20 the number of strawberry candies= Ns = 20 the number of grape candies = Ng = 10

our question: "what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?"

If we get 40 candies, we can get only 40 apple candies and therefore N=40 does not guaranty that we will have always 3 of each type.

If we get 60 candies, we may get 40 apple candies and 20 orange candies - no guarantees If we get 80 candies, we may get 40 apple candies, and 20 orange candies, and 20 strawberry - no guarantees If we get 82 candies, we may get 40 apple candies, and 20 orange candies, 20 strawberry, and 2 grape candies - no guarantees If we get 83 candies, we will always get at least three of each type of candy: 3 apple, 3 orange, 3 strawberry, and 3 grape candies, that is, we will get 3 of each type regardless chance.

A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.25, and there are exactly 90 candies in the machine, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?

This question isn't that tough when you break it all down.

We are given the following ratios:

Code:

A O S G 2 1 2 1 2 1

Consolidate these ratios:

Code:

A O S G 4 2 2 1

We have 90 items, so using the ratio above we have these pieces:

Code:

A O S G 40 20 20 10

Now we need at least three of each type. Think about the worst case, if we buy 40, we might get all of A. If we buy 60, we might get all of A and O, if we buy 80 we might get A, O and S, so we need to buy another three and now we have guaranteed we have A,O,S and G.

A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.25, and there are exactly 90 candies in the machine, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy?

A $3.00 B $20.75 C $22.50 D $42.75 E $45.00

Given: Apple:Orange = 2:1 Strawberry:Grape = 2:1 Apple: Strawberry = 2:1 So if we have 1 Grape candy, we have 2 strawberry ones and 4 apple ones, which means we have 2 Orange candies. So in all we would have 1+2+4+2 = 9 candies Since we actually have 90 candies, we must have 10 Grape, 20 Strawberry, 40 Apple and 20 Orange candies.

If we need at least three of each type and the machine dispenses them randomly, we have to take the worst case scenario (we will have to buy maximum number of candies). In the worst case, we will get the grape candies at the end. We will end up buying all other 80 candies and then get 3 grape candies because only grape candies will be left. So we will need to buy 83 ($20.75) candies. _________________