A college student earned $5100 during summer vacation working as a waiter in a restaurant on the boardwalk at the beach. The stu

Question

3 years ago

11

A college student earned $5100 during summer vacation working as a waiter in a restaurant on the boardwalk at the beach. The stu

dent invested part of the money at 8% and the rest at 9%. If the student received a total of $445 in interest at the end of the year, how much was invested at 9%?

Mathematics

1 answer:

Mama L [17] · Answer 1 · 2022-06-16T12:47:16+03:00

<h3>Answer:</h3>

$3700

<h3>Step-by-step explanation:</h3>

Let x represent the amount invested at 9%. Then 5100-x is the amount invested at 8%. The total interest earned is ...

... 0.08(5100-x) +0.09x = 445

... 0.01x = 445 -0.08·5100 . . . . . collect terms, subtract .08·5100

... x = (445 -408)/0.01 = 3700 . . . divide by the coefficient of x.

The student invested $3700 at 9%.