College Algebra Homework question one

Question

You invested ​$27,000 in two accounts paying 4% and 7% annual​ interest, respectively. If the total interest earned for the year was $1,740 how much was invested at each​ rate?

Answer 1

1740/27000=.06444... = 6 4/9 % average interest rate

7- 6 4/9 = 5/9

6 4/9 -4 = 2 5/9= 23/9

23/9/5/9 =23/5 = 4.6

(4.6+1)x = 5.6x = 27000

x = 27000/5.6 = $4,821.43 invested at 4%

$22,178.57 invested at 7%

.07(22178.57) + .04(4821.43)

= about 1745= about 1740