i need the answer

Question

Bill invested his savings in two investment funds. The amount he invested in Fund A was $2000 less than the amount he invested in Fund B. Fund A returned a 6% profit and Fund B returned a 3% profit. How much did he invest in Fund B, if the total profit from the two funds together was $1140?

Answer 1

Let's say x is sum invested in B. Then (x-2000) is how much is invested in A. Total income is

 

0.03*x+0.06*(x-2000) = 1140 - we have equation for x

0.09x-120=1140

0.09x=1260

x=1260/0.09=14,000

 

Let's check the answer. Income from B is 14000*0.03=420. Income from A is 12000*0.06=720. Total income is 720+420=1140.