Answer:
$11,300 is invested in CDs
$46,300 is invested in bonds
$107,400 is invested in stocks
*I rounded to the nearest hundred
Explanation:
S = money invested in stocks
B = money invested in bonds
C = money invested in CDs
S + B + C = 165,000
B = C + 35,000
0.078S + 0.052B + 0.0225C = 11,040
S + C + 35,000 + C = 165,000
S + 2C = 130,000
0.078S + 0.052(C + 35,000) + 0.0225C = 11,040
0.078S + 0.052C + 1,820 + 0.0225C = 11,040
0.078S + 0.0745C = 9,220
S + 2C = 130,000
(0.078S + 0.0745C = 9,220) x 1 / 0.078
S + 2C = 130,000
S + 0.96C = 118,205
2C - 0.96C = 130,000 - 118,205
1.04C = 11,795
C = 11,341 ≈ 11,300 (approximate number due to rounding errors)
B = 11,300 + 35,000 = 46,300
S = 165,000 - 46,300 - 11,300 = 107,400
