An investor invested a total of $3 comma 500 in two mutual funds. one fund earned a 4% profit while the other earned a 2% profit. if the investor's total profit was $110, how much was invested in each mutual fund

$2000 invested in first fund

$1500 invested in second fund

Step-by-step explanation:

An investor invested a total of ​$3,500 in two mutual funds.

Let x be the amount invested in first fund

first fund earned a 4​% profit (4%= 0.04)

So interest is 0.04x for first fund

Let x be the amount invested in first fund

first fund earned a 4​% profit (4%= 0.04)

So interest is 0.04x for first fund

Let y be the amount invested in second fund

second fund earned a =2​% profit (2%= 0.02)

So interest is 0.02y for second fund

An investor invested a total of ​$3,500 in two mutual funds.

So x+y = 3500> equation 1

y= 3500-x

the​ investor's total profit was ​$110

0.04x + 0.02y = 110> equation 2

Plug in 3500 -x for y

0.04x + 0.02(3500-x) = 110

0.04x + 70 - 0.02x = 110

0.02x + 70 = 110

Subtract 70 onboth sides

0.02x = 40

Divide both sides by 0.02

x= 2000

y= 3500-x

so y= 3500 - 2000 = 1500

$2000 invested in first fund

$1500 invested in second fund

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