Question

Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels. Part A: Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy. Define the variable used in the equation and solve the equation. Hint: 0.9x represents the number of pounds of milk chocolate in the candy. (5 points) Part B: How many pounds of milk chocolate are present in the candy? Show your work. (5 points)

Answer 1

Answer: a) 0.1 x = 3 pounds

               b) 27 pounds

Explanation:

Since we have given that

Let the number of pounds of candy be s

Let the number of pounds of milk chocolate be

$90\%x=0.9x$

Let the number of pounds of caramels be

$(100\%-90\%)x=10\%x=0.1x$

a) Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy.

To find the number of pounds of caramels , the equation will be

$0.1x=3\ pounds$

$x=30\ pounds$

b) Number of pounds of milk chocolate are present in the candy is given by

$0.9x=0.9\times 30=27\ pounds$