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What is the total number of candy pieces that Bre has after Trick-or-Treating, given that the ratio of chocolate candy to sweet candy is 4 to 7, and she has 32 pieces of chocolate candy?

A) 64 pieces of candy
B) 56 pieces of candy
C) 88 pieces of candy
D) 72 pieces of candy

User Yildiz
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1 Answer

6 votes

Final answer:

Using the ratio of chocolate candy to sweet candy (4 to 7) and knowing that Bre has 32 pieces of chocolate candy, we calculate that she has 56 pieces of sweet candy. Adding these together, the total is 88 pieces of candy.

Step-by-step explanation:

To determine the total number of candy pieces that Bre has after Trick-or-Treating, we can set up a ratio based on the information given about the types of candy. The ratio of chocolate candy to sweet candy is given as 4 to 7, meaning for every 4 pieces of chocolate, there are 7 pieces of sweet candy. Bre has 32 pieces of chocolate candy.

To find out how many pieces of sweet candy Bre has, we use the following proportion: 4/7 = 32/x, where 'x' represents the number of sweet candy pieces. After solving the proportion, x = (7 × 32) / 4 = 224 / 4 = 56 pieces of sweet candy.

To find the total number of candy pieces, we add the number of chocolate candy pieces to the number of sweet candy pieces: 32 (chocolate) + 56 (sweet) = 88 pieces of candy. Thus, the correct answer is C) 88 pieces of candy.

User Radders
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