need help with math

Question

Solve the problem. See Example 8. (Objective 3)

A rollover IRA of $18,350 was invested in two mutual funds, one earning 10% interest and the other earning 6%. After 1 year, the combined interest income is $1,371. How much was invested at each rate?
$
at 10%
$
at 6%

Answer 1

.10(18350-x) + .06x = 1371

Multiply by 100

183500 - 10x + 6x = 137100

-4x = -183,500-137,100

divide by -4

x = = 46400/4 = $11,600 invested at 6%

18350- 11,600= amount invested at 10% = $6,7 50