Solve the problem.
-Marcus earned $5600 during his summer vacation. He invested part of the money at 9% and the rest at 7%. If he received a total of $464 in interest at the end of the year, how much was invested at 9%?
A) $800
B) $2000
C) $2800
D) $3600

Question

Quizplus · Accepted Answer

Let x be the amount invested at 9% and (5600-x) be the amount invested at 7%. 
Now we can set up an equation based on the given information:

0.09x + 0.07(5600-x) = 464

Simplifying this equation gives us:

0.09x + 392 - 0.07x = 464

0.02x = 72

x = 3600

Therefore, Marcus invested $3600 at 9% and $2000 at 7%. Thus, the answer is choice D, $3600.

Solve the Problem. -Marcus Earned $5600 During His Summer Vacation. He Invested Part