Set 4: Linear Equations

Explanation

Answer: D

An investment of $5,000 is split between two accounts. One earns 4% annual interest and the other 6%. If total interest earned is$ 260, how much was invested at 6%?

How much was invested at 6%?

$3,500

$2,000

$2,500

$3,000

✓ Correct

Detailed Explanation

Choice D is correct. Let x = amount at 6%. Then (5000-x) at 4%. Interest: 0.06 x + 0.04(5000-x) = 260. 0.06 x + 200 - 0.04 x = 260. 0.02 x = 60. x = 3000.

Key Steps:

•

The correct answer is $3,000

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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