Question

Mr. Barry invested some money at 5% and amount half as great as 4%. His total annual income from both investments was $210. Find the amount invested at 4%

A) $1000
B) $1500
C) $2000
D) $2500

Answer 1

The answer in image ...
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Answer 2

The amount invested at 4% is 1500.

How to estimate the amount invested at 4%?

Let x be the amount invested at 4%.

2x be the amount invested at 5%.

0.04x + 0.05(2x) = 210

Multiply by 100 to eliminate decimals

4x + 5(2x) = 21000

Remove parentheses: (a) = a

$4 x+5 \cdot 2 x=21000$

Multiply the numbers: $5 \cdot 2=10$

4x+10x = 21000

Add similar elements:

4x+10x = 14x

14x=21000

Divide both sides by 14

$\frac{14 x}{14}=\frac{21000}{14}$

Simplifying the above equation, we get

x = 1500

The amount invested at 4% is 1500.

Therefore, the correct answer is option B) $1500.

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