Question

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?

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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.

Answer 5

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

Answer 6

i got 2377 as my answer @Shalante

Answer 7

Let me see.

Answer 8

Nope.

Answer 9

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

Answer 10

17 years oops.

Answer 11

@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

Answer 12

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.

Answer 13

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

Answer 14

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.

Answer 15

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