Solve.
-A college student earned $5200 during summer vacation working as a waiter in a popular restaurant. The student invested part of the money at 10% and the rest at 7%. If the student received a total of $445 in interest at
The end of the year, how much was invested at 10%?
A)$2700
B)$742
C)$2500
D)$2600

Question

Quizplus · Accepted Answer

The total interest earned from both investments is $445. Let x be the amount invested at 10%, so the amount invested at 7% is $5200 - x. The interest from the first investment is 0.10x, and from the second investment is 0.07(5200 - x). The total interest is the sum of these, so 0.10x + 0.07(5200 - x) = 445. Solving this equation for x gives x = $2700, which is the amount invested at 10%.

Solve. -A College Student Earned $5200 During Summer Vacation Working as as a Waiter