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A box of oat cereal contains 425,000 milligrams of cereal. How many grams of cereal does the box contain?

A box of oat cereal contains 425,000 milligrams of cereal. How many grams of cereal does the box contain?

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See a solution process below:

Explanation:

$1 \text{ gram" = 1000" milligrams}$

So we can write and solve for $g$:

$\frac{g}{425000 \text{ milligrams") = (1"gram")/(1000" milligrams}}$

$\textcolor{red}{425000 \text{ milligrams") xx g/(425000" milligrams") = color(red)(425000" milligrams") xx (1"gram")/(1000" milligrams}}$

cancel(color(red)(425000" milligrams")) xx g/(color(red)(cancel(color(black)(425000" milligrams")))) = color(red)(425000color(black)(cancel(color(red)(" milligrams")))) xx (1"gram")/(1000color(red)(cancel(color(black)(" milligrams"))))

$g = \textcolor{red}{425000} \times \frac{1 \text{gram}}{1000}$

$g = \textcolor{red}{425 \textcolor{b l a c k}{\cancel{\textcolor{red}{000}}}} \times \frac{1 \text{gram}}{\textcolor{b l a c k}{\cancel{\textcolor{red}{1000}}}}$

$g = 425 \text{ gram}$

answered by: smendyka
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