every 10th customer receives free coke, every 12th receives

mizpreston23

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At the Grand Opening of E-Super Store, every 10th person to enter the store receives a free bottle of coke and every 12th person receives a free bag of chips. You are waiting in line to go in. The person right in front of you receives both free items. How many people would you have to let in ahead of you so that you will get both items?

Thanx in advance
 
Re: Please help with math word problem

mizpreston23 said:
At the Grand Opening of E-Super Store, every 10th person to enter the store receives a free bottle of coke and every 12th person receives a free bag of chips. You are waiting in line to go in. The person right in front of you receives both free items. How many people would you have to let in ahead of you so that you will get both items?
Thanx in advance

What is the Least-Common-Multiple (LCM) of 10 and 12?

Please show us your work and indicate exactly where you are stuck - so that we know where to begin to help you.
 
Re: Please help with math word problem

I really dont have any work or know where to start . I just don't understand, to me there is not enough info .
 
Re: Please help with math word problem

Hint:
10 20 30 40 50 60 70 ....
12 24 36 48 60 72 84 ....
 
mizpreston23 said:
I really dont have any work or know where to start . I just don't understand, to me there is not enough info .
You might want to think about using the hint provided earlier, and consider the least common multiple of the two values. :roll:
 
Actually, wouldn't you want 59 ahead of you, so you are the 60th and get both treats?.
 
galactus said:
Actually, [would] you want 59 ahead of you ...

YES. Regardless of your position in line, if the person in front of you receives both items, then you want to let 59 people cut in front of you, in order to receive both items yourself.


so you are the 60th ...

NO. Since at least one person ahead of you has already received both items, there is no way that you could be the 60th person in line. If you receive both items, then your position in line must be 120, 180, 240, etc.

There is not enough information provided to determine your actual position in line.

 
The original question was:

....The person right in front of you receives both free items. How many people would you have to let in ahead of you so that you will get both items?

Nothing to do with position....
 
Hint: The LCM will tell you where both items overlap.

Here is a lead on the LCM:
Prime Factorization of 10: 2, 5
Prime Factorization of 12: 2, 2, 3

LCM: between 50 and 70
 
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