Question

What is an equation that you can use to find the number of Calories in any number of grams of trail mix?

Answer 1

Well, it depends on the label...

Define

• the total number of calories, `"Cal"`, as `q_(Cal)`
• the number of calories per container as `barq_(Cal)` in terms of `"Cal/container"`
• the number of servings as `N_(Serv)`
• the serving size in terms of `"g/serving"` as `m_(Serv)`

Then by simple unit conversion,

`8 cancel"servings" xx "43 g"/cancel"1 serving" = "344 g/container"`

And thus,

`color(blue)(q_(Cal)) = "190 Cal"/cancel"container" xx cancel"1 container"/"344 g"`

`=` `color(blue)("0.522 Cal/g")`

In general,

`barul|stackrel(" ")(" "q_(Cal) = barq_(Cal)/(N_(Serv)m_(Serv))" ")|`