Question

Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds of peppermint sticks.

Part A: Write an equation using one variable that can be used to find the total number of pounds of white chocolate and peppermint sticks in the candy. Define the variable used in the equation. (5 points)

Part B: How many pounds of white chocolate are present in the candy? Show your work. (5 points)

Answer 1

Explanation:

Part A: Let's use "w" to represent the total number of pounds of white chocolate in the candy. The equation would be:

w + 3 = total weight of the candy

Part B: Since the candy contains 75% white chocolate, we know that white chocolate makes up 100% - 75% = 25% of the candy. Therefore, we can set up an equation:

0.25(w + 3) = w

Simplifying the equation, we get:

0.25w + 0.75 = w

0.75 = 0.75w

w = 1

Therefore, there is 1 pound of white chocolate in the candy.