Answer to Question #188562 in Algebra for angelo r reyes

Question

Jungkook invested a certain amount of money at a 10% interest rate and Php 2000 more than that at a 12% interest rate. His total annual interest earned is Php 1340. How much money did he invest at 12% interest rate?

Answer 1

Jungkook invested a certain amount of money at 10%

interest rate and $2000 more than that at 12% interest rate.

her total yearly interest eanrd is $1340.how much did she invest at each rate?

let   x amount invested at 10%

 then  x+2000 invested at 12%

[interest earned 10%]+[interest earned 12%]=1340

         

        (x)10% + (x+2000) 12% = 1340

            

      $(x)(0.10) +(x+2000)(0.12)= 1340$

       $0.1x+0.12x+240=1340$

       $0.22x=1100$

         $x=\dfrac{1100}{0.22}=5000$

The amount of money he invests at 12% is (5000+2000)=$7000