how much was invested in each mutual​ fund?

Question

An investor invested a total of

​$2,000

in two mutual funds. One fund earned a

4​%

profit while the other earned a

2​%

profit. If the​ investor's total profit was

​$74​,

how much was invested in each mutual​ fund?

Answer 1

X+Y = 2000

0.04X + 0.02Y = 74

0.04X + 0.02(2000 - x) = 74

0.04X + 40 - 0.02x = 74

0.02X + 40 - 74

0.02X = 34

2x = 3400

x = 1700

$1700 and $300