Respuesta :

Answer

He invested

$111,000 at 9%

$368,000 at 12%

Explanation

Let the amount the actor invested at 9% simple interest be x dollars

Let the amount the actor invested at 12% simple interest be y dollars

The amount made from the x dollars will be

0.09 × x = (0.09x) dollars

The amount made from the y dollars will be

0.12 × y = (0.12y) dollars

Total amount made from the investments = 54,150 dollars

0.09x + 0.12y = 54,150

Then we are told that the amount invested at 12% is 35,000 more than three times the amount invested at 9%

y = 3x + 35,000

We can write these two equations together now

0.09x + 0.12y = 54,150

y = 3x + 35,000

0.09x + 0.12(3x + 35,000) = 54,150

0.09x + 0.36x + 4,200 = 54,150

0.45x + 4,200 = 54,150

0.45x = 54,150 - 4,200

0.45x = 49,950

Divide both sides by 0.45

(0.45x/0.45) = (49,950/0.45)

x = 111,000

y = 3x + 35,000

y = 3 (111,000) + 35,000

y = 333,000 + 35,000

y = 368,000

Hope this Helps!!!

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