Question

O LINEAR EQUATIONS AND INEQUALITIESSolving a percent mixture problem using a linear equationSamantha VEspanolKeith invested his savings in two investment funds. The $10,000 that he invested in Fund A returned a 3% profit. The amount that he invested in Fund Breturned a 10% profit. How much did he invest in Fund B, if both funds together returned a 5% profit?Amount invested in Fund B: s[]S?V

Answer 1

Keith invested $10,000 on Fund A and got a 3% profit. We let x be the amount of Keith invested on fund B that got 10% profit. The overall profit will have a 5% rate. The equation that represents this relation is written as

$10000(0.03)+x(0.10)=(10000+x)(0.05)$

To solve for x, let's simplify the equation further. We have

$\begin{gathered} 300+0.10x=500+0.05x \\ 0.10x-0.05x=500-300 \\ 0.05x=200 \\ x=4000 \end{gathered}$

Hence, Keith invested $4000 in Fund B.