Question

Sarah opens a small bag of chocolate candies and notices that out of 210 candies, 63 are brown. She assumes the color breakdown is consistent over all sizes of packaging. When she opens a bulk package of the same candies with 4,800 pieces, how many brown candies should she expect?

Answer 1

1440

Explanation:

We can solve this problem by applying the rule of three.

In fact, we know that:

- Over a package of 210 candies,

- The number of brown candies is 63

- Here we want to find what is the number of brown candies when the total number of candies contained in the package is 4800

So we can set up the following rule of three:

`(x)/(4800)=(63)/(210)`

where

x = number of brown candies when the total number of candies contained in the package is 4800

Solving the expression for x, we find:

`x=(63)/(210)\cdot 4800 =1440`

So, Sarah can expect to find 1440 brown candies in a package of 4800 pieces.