Question

Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. The candy has 3 pounds of milk chocolate.

Part A: Write an equation using one variable that can be used to find the total number of pounds of dark chocolate and milk chocolate in the candy. Define the variable used in the equation. Hint: 0.25x represents the number of pounds of dark chocolate in the candy. (5 points)


Part B: How many pounds of dark chocolate are present in the candy?

Answer 1

Part A:

If 25% is dark chocolate and the rest is milk chocolate then, dark + milk = all

25% + milk chocolate= 100%

Subtract 25% from both sides and 100 minus 25 is 75 so, milk chocolate is 75% of all the chocolate.

Now, if there is 3 pounds of milk chocolate then 3 pounds= 75%.

You would divide by 3 so, 75 divided by 3 is 25.

1 pound or lb= 25% which us the amount of dark chocolate that there is.

Now, we know that there milk chocolate is 75% and dark chocolate is 25% of all the chocolate.

M= pounds of milk chocolate

D= dark chocolate

Equation: m divided by d or m/d= 75 divided by 25 or 75/25 or m/d=3 and m=3

3 divided by d or 3/d=3

3=3d

D=1

Part B:

There is 1 pound of dark chocolate in the candy.

Hope this helps! :)