Need help with word problem

Question

Hello! I am very confused on how to go about solving this word problem. Please help me.

 

Fatuma invests a total of $18,500 in two accounts paying 3% and 5% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $755.00.

A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use x as your variable to represent the amount of money invested in the account paying 3% simple interest.

 

B) The answers are:
$ was invested at 3% and
$ was invested at 5%

Answer 1

Amount invested in 3% a/c  = x

Amount invested in 5% a/c  = 18,500 - x

 

Change 3% to 0.03 and 5% to 0.05

 

Interest on 3% a/c = 0.03x

Interest on 5% a/c = 0.05(18,500 - x)

 

A) So: 0.03x + 0.05(18,500 - x) = 755

Distribute, and combine like terms to get:

 

-0.02x + 925 = 755     Subtract 925:

 

-0.02x  =  -170

 x  = 8,500, so $8,500 was invested at 3%, $10,000 at 5%.