Algebra math question

Question

her​ retirement, Liza deposits some money at

22​%

​interest, with twice as much deposited at

4.54.5​%.

Find the amount deposited at each rate if the total annual interest income is

​$1210.

Answer 1

.22x + .0445(2x) = 1210

(.22 + .089)x = 1210

x = 1210/.309 = about $3915.86 invested at 22%

2x = $7831.72 invested at 4.45%

check the answers

.22(3915.86) + .0445(7831.72)

= about 861.49 + 348.51

equals 1210.00154, close enough