## Dimpalk104 one year ago 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?

1. anonymous

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

2. Dimpalk104

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

3. anonymous

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

4. 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.

5. anonymous

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

6. Dimpalk104

i got 2377 as my answer @Shalante

7. anonymous

Let me see.

8. anonymous

Nope.

9. anonymous

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

10. anonymous

17 years oops.

11. 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

12. 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.

13. anonymous

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

14. 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.

15. 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.