Question

Brian invests $4400 In 2 different accounts. The 1st account paid 7%, the 2nd account paid 8% in interest. At the end of the 1st year he had earned $333 in interest. how much was in each account$____ at 7%$____at 8%

Answer 1

Answer : $1, 900 at 7%

$ 2, 500 at 8%

Given data:

Let x be the amount earned at 7%

Let 4400 - x be the amount at 8%

The total interest earned = $333

0.07(x) + 0.08(4400 - x) = 333

Open the parentheses

0.07x + 352 - 0.08x = 333

Collect the like terms

0.07x - 0.08x = 333 - 352

-0.01x = - 19

Divide both sides by -0.01

-0.01x/-0.01 = -19/-0.01

x = 19/0.01

x = $1,900

The amount in the first account is $1900

The amount in the second accoun is

4400 - 1900

= $ 2, 500

Therefore,

$1, 900 at 7%

$ 2, 500 at 8%