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Susan invested her savings in two investment funds. The amount she invested in Fund A was 3 times as much as theamount she invested in Fund B. Fund A returned a 8% profit and Fund B returned a 6% profit. How much did she invest inFund B, if the total profit from the two funds together was $1800?

Answer :

In this problem we have two incognitas, so we need to have two equations to solve the problem:

the first equation is the invest amound: (A is the amount invested in fund A, and B is the amound invested in the fund B)

[tex]A=3B[/tex]

And the second equation is going to be the total profit:

[tex]A0.8+B0.6=1800[/tex]

Now we can replace the equation 1 in the second one:

[tex]3B(0.8)+B0.6=1800[/tex]

And finally we solve for B:

[tex]\begin{gathered} 2.4B+0.6B=1800 \\ B(2.4+0.6)=1800 \\ B(3)=1800 \\ B=\frac{1800}{3} \\ B=600 \end{gathered}[/tex]