Brandon has 48 pieces of candy in a bag. 3/4 of the pieces are chocolate, and the remaining pieces are orange slices. A How many pieces of each kind of candy are in the bag? B. Write a fraction that represents the ratio of orange slices to chocolate pieces of candy. (Simplify)



Answer :

Answer:

1/3

Step-by-step explanation:

A. To find out how many pieces of each kind of candy are in the bag, we can set up a proportion using the information given:

3/4 of the candy is chocolate

1 - 3/4 = 1/4 of the candy is orange slices

Let x represent the total number of pieces of candy in the bag:

3/4 * x = number of chocolate pieces

1/4 * x = number of orange slices

Since we know there are 48 pieces of candy in the bag, we can set up the equation:

3/4 * x + 1/4 * x = 48

3x/4 + x/4 = 48

4x/4 = 48

x = 48 * 4

x = 192

So, there are:

3/4 * 192 = 144 pieces of chocolate

1/4 * 192 = 48 pieces of orange slices

B. To find the ratio of orange slices to chocolate pieces, we can write it as a fraction:

Orange slices : Chocolate

48 : 144

Simplify the fraction:

48/144 = 1/3

Therefore, the ratio of orange slices to chocolate pieces of candy in the bag is 1/3.

Answer:

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