Does anyone understand algebra word problems?

Question

An actor invests some money at 8% and 42000 more than 3 times the amount at 11% . The total annual intrest is $51770. How much did she invest at 8% ?

Answer 1

note

x = amount invested at 8%

x + 42000 = amount invest at 11%

8% = .08

11% = .11

so

.08x + .11(x + 42000) = 51,770

.08x + .11x + 4620 = 51770

.19x = 47,150

x = 148,157.90