Question

A bottle of fish oil contains 90 soft gels, each containing 800 mg of the omega-3 fatty acid. How many total grams of the omega-3 fatty acid are in this bottle?

Answer 1

See a solution process below:

Explanation:

We can write this equation to show the amount of omega-3 in one soft gel tablet:

`1"tablet" = 800"mg"`

To find how many milligrams of omega-3 in 90 soft gel tablets we can multiply each side of the equation by `color(red)(90)`

`color(red)(90) xx 1"tablet" = color(red)(90) xx 800"mg"`

`90"tablet" = 72000"mg"`

We can now use this conversion factor to change milligrams to grams:

`1"mg" = 0.001"g"`

We can now multiply the right side of the equation by `(0.001"g")/(1"mg")`, which is the equivalent of multiplying by `1` to find the number of grams of omega-3 in the 90 gel tabs:

`90"tablet" = 72000"mg" xx (0.001"g")/(1"mg")`

`90"tablet" = 72000color(red)(cancel(color(black)("mg"))) xx (0.001"g")/(1color(red)(cancel(color(black)("mg"))))`

`90"tablet" = (72000 xx 0.001"g")/1`

`90"tablet" = (72"g")/1`

`90"tablet" = 72"g"`

There are 72 grams of omega-3 in the 90 gel tablets.