martina invested her savings in two investment funds. the $18,000 that she invested in fund a returned a 2%…

martina invested her savings in two investment funds. the $18,000 that she invested in fund a returned a 2% profit. the amount that she invested in fund b returned a 6% profit. how much did she invest in fund b, if both funds together returned a 3% profit?

martina invested her savings in two investment funds. the $18,000 that she invested in fund a returned a 2% profit. the amount that she invested in fund b returned a 6% profit. how much did she invest in fund b, if both funds together returned a 3% profit?

Answer

Explanation:

Step1: Let the amount invested in Fund B be $x$.

The amount invested in Fund A is $18000$.

Step2: Calculate the profit from each fund.

The profit from Fund A is $0.02\times18000 = 360$. The profit from Fund B is $0.06x$. The total - investment is $18000 + x$, and the total profit is $0.03\times(18000 + x)$.

Step3: Set up an equation based on the profit relationship.

$360+0.06x=0.03\times(18000 + x)$

Step4: Expand and solve the equation.

First, expand the right - hand side: $360+0.06x = 540+0.03x$. Then, subtract $0.03x$ from both sides: $360 + 0.06x-0.03x=540+0.03x - 0.03x$, which gives $360 + 0.03x=540$. Next, subtract 360 from both sides: $0.03x=540 - 360=180$. Finally, divide both sides by 0.03: $x=\frac{180}{0.03}=6000$.

Answer:

$6000$