# Prime Factorization Problem 4

1. Oct 18, 2009

### shawonna23

1. The problem statement, all variables and given/known data

You bring the drinks for your soccer team every sixth game. Every third game is a home game. How many times will you bring the drinks to a home game if you have a 20 game season?

2. Relevant equations
i did the problem in my head, but I need to show my work to get the problem correct. I dont know how i would use factorization to solve this problem

3. The attempt at a solution
3 games

2. Oct 18, 2009

### LearningMath

I think you're right.

Here's how I came up with that.

You've got 20 total games.

Every third game is a home game - that doesn't divide evenly into 20 and since you can't have a half of a game or a third of a game (unless this is some weird version of soccer), then that leaves us with 6 true home games, right? [The closest whole number of 20/3 is 18. 20/3 = 18 2/3 so ~ 18 full games.]

Since you have to bring drinks every six games, then you have to bring drinks 3 times.

Let's draw a chart:

Game # ; Home / Away?; Drinks Y/N?

1; A; N
2; A; N
3; H; N
4; A; N
5; A; N
6; H; Y
7; A; N
8; A; N
9; H; N
10; A; N
11; A; N
12; H; Y
13; A; N
14; A; N
15; H; N
16; A; N
17; A; N
18; H; Y
19; A; N
20; A; N

So yeah, 3 times.

I don't know why I wrote that all out, since I don't have a good explanation as to why it is so...

Blind leading the blind. Good luck!

3. Oct 21, 2009

### 1/2"

Hey there,
What learnt from LearningMaths chart is that you bring drinks every 6th game isn't it and every 3rd game is a home game.
.: total no. of home game=20/3=6(We won't consider the decimal part )
so you see,
6 games ,No. of drinks given=1
ie. Every 2 home game ,No. of drinks given=1
.: Every 1 home game ,No. of drinks given=1/2
.: Every 6 home game ,No. of drinks given=1/2*6=3

I think you get my point. But I dont know where the question of prime factorisation rises!!
I wish i could have been of some help!!

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