If the annual income from the investments is $ 11850 , how much was invested in each account?

Question

Maricopa's Success scholarship fund receives a gift of $ 170000. The money is invested in stocks, bonds, and CDs. Stocks pay 11.1 % interest, bonds pay 5.2 % interest, and CDs pay 2 % interest. Maricopa Success invests $ 30000 more in bonds than in CDs. If the annual income from the investments is $ 11850 , how much was invested in each account?

Answer 1

.111S+.052B+.02C=11,850

B=30,000+C

S+B+C = 170,000

S=170,000-C-(30,000+C)=140.000-2C

.111(140,000-2C) +.052(30,000+C)+,02C=11,850

15540-.222C+1560+.052C+.02C = 11,850

.15C = 15,540+1,560-11,850=5250

C=5250/.15=$35,000 in CDs

B=$65,000 in bonds

S=$70,000 in stocks

.111(70,000)+.052(65,000)+.02(35,000) = 11850