please help me with conversion factors
If a person drinks an average of 1.45 L of Diet Coke every day since 1987, how many gallons of Diet Coke has he/she consumed in the past 17 years?

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- Dimpalk104

- jamiebookeater

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- anonymous

Without showing you numbers can you figure it out.
\[\frac{years }{ 1 }\times \frac{ days }{ year }\times \frac{ Liters }{ days }\times \frac{ gallons }{ Liters }\]

- Dimpalk104

no not really because aren't you supposed to start with 1.45/ 1 day?? @Shalante

- anonymous

No, you would use the given variable in the end of the last sentence to begin with (years)

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## More answers

- anonymous

Tell me how your conversion would look in liters?
If we want to find gallons, we know that liter can be convert to gallon
If you drink 1.45 L a day and we know how much days are in a year, then we can figure it out.

- anonymous

It is like a step.
The unit you are trying to find should be in the last conversion fraction.

- Dimpalk104

i got 2377 as my answer @Shalante

- anonymous

Let me see.

- anonymous

Nope.

- anonymous

I gtg
365 years*365days/1 year * 1.45L/day* 0.26 gallon/1Liters

- anonymous

17 years oops.

- anonymous

@Shalante Can't you do the following:
\[\frac{ 1.45L }{ day }(\frac{ 0.264172 gallons }{ L }) (\frac{ 365days }{ year })(\frac{ 17 yrs }{ 1 })\]
This would equal 2376.82 as in @Dimpalk104 answer

- anonymous

Starting with years is easier for me since you would cancel the unit in the numerator every time.
It looks more chronological too.
Your way seems to be a bit more confusing as it goes from gallons in numerator to years in denominator.

- anonymous

Fine, but either way you would get the same answer @Dimpalk104 got 2377 as the answer. I'm wondering why you responded nope

- anonymous

Thought he/she put something else because I saw the answer and responded a little late. Maybe he/she deleted the answer.
But that's still not the answer because it is not in 3 sig figs.

- anonymous

Your way of starting out and ending the conversion has its flaws that would not be helpful for the more different and complex ones.

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