8
algebra

A candy mix sells for $2.50/lb. It contains chocolates ($4/lb) and gummies ($1/lb). How many lbs of chocolates are in a 10 lb mix?

A

4

B

2

C

8

D

5

Correct Answer: D

Choice Dhoice A is the correct answer.

  1. Define: Choc = xx, Gum = 10x10 - x.
  2. Equation: 4x+1(10x)=2.50(10)4x + 1(10 - x) = 2.50(10)
  3. Simplify: 4x+10x=254x + 10 - x = 25
  4. Combine: 3x=153x = 15
  5. Divide by 3: x=5x = 5
  6. Verify: 4(5)+1(5)=20+5=254(5) + 1(5) = 20 + 5 = 25. 25/10=2.525/10 = 2.5

Choice Dhoice C is incorrect because calculation error.

Choice Dhoice D is incorrect because calculation error.

Choice Dhoice C is incorrect because calculation error.