7

Set 3: Linear Equations (Intermediate)

Explanation

Answer: D

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

Detailed Explanation

Choice D is correct. Choice A is the correct answer. 1. Define: Choc = xx, Gum = 10−x10- x. 2. Equation: 4x+1(10−x)=2.50(10)4x + 1(10 - x) = 2.50(10) 3. Simplify: 4x+10−x=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 C is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is 5

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
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