Question

A multi-colored candy is sold in a ratio of 7:3:2 of blue,

red, and brown candies, respectively. How many pounds
of red candies will be found in a 4-pound bag of this
multi-colored candy?

Answer 1

There will be 1 pound of red candies in a 4-pound bag of multi-colored candy with a color ratio of 7:3:2 for blue, red, and brown.

Step-by-step explanation:

The student is asking how many pounds of red candies are in a 4-pound bag of multi-colored candy that is sold in a ratio of 7:3:2 for blue, red, and brown candies, respectively. To solve this, we can first find the total number of parts in the ratio, which is 7 + 3 + 2 = 12 parts. Knowing that the bag weighs 4 pounds, we can calculate the weight of one part by dividing the total weight by the total number of parts: 4 pounds ÷ 12 parts = 0.3333 pounds per part. Then, we multiply the weight of one part by the number of parts for red candies (which is 3 parts): 0.3333 pounds/part × 3 parts = 1 pound. Therefore, there will be 1 pound of red candies in a 4-pound bag.

Answer 2

A 4-pound bag of the multi-colored candy will contain 1.43 pounds of red candies.

Step-by-step explanation:

Given that the multi-colored candy is sold in a ratio of 7:3:2 of blue, red, and brown candies, respectively, we can divide the total weight of the candy (4 pounds) by the sum of the ratios (7+3+2 = 12) to determine the weight of each color.

Weight of red candies = (Total weight) * (Red candy ratio)/(Sum of ratios)

Weight of red candies = (4 pounds) * (3/12) = 1.43 pounds

Therefore, a 4-pound bag of the multi-colored candy will contain 1.43 pounds of red candies.