SOLUTION: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks, bonds, and CDs. CDs pay 5.25 % interest, bonds pay 2.1 % interest, and stocks pay 8

Question 1191881: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks, bonds, and CDs. CDs pay 5.25 % interest, bonds pay 2.1 % interest, and stocks pay 8.4 % interest. Maricopa Success invests $ 25000 more in bonds than in CDs. If the annual income from the investments is $ 4147.5 , how much was invested in each account?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x=stocks and income is 0.084x
bonds and CDs together are $85000-x. Let CDs be y and bonds y+25000
y+25000+y=85000-x
2y=60000-x
y=30000-0.5x
CDs are 30000-0.5x and income is (30000-0.5x)(0.0525)=1575-0.02625x
bonds are 55000-0.5x and income is (55000-0.5x)(0.021)=1155-0.0105x
add those three terms to get $4147.5-0.04725x=$2730
-0.04725x=-1417.5
x=$30000
so $30000 in stocks for income of $2520
$15000 in CDs for income of $787.50
$40000 in bonds for income of $840
RELATED QUESTIONS
Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in (answered by ikleyn)

Maricopa's Success scholarship fund receives a gift of $ 175000. The money is invested in (answered by ikleyn)

Maricopa's Success scholarship fund receives a gift of $105000. The money is invested in... (answered by josgarithmetic,ikleyn)

Maricopa's Success scholarship fund receives a gift of $ 100000. The money is invested in (answered by Edwin McCravy,ikleyn,mccravyedwin)

Maricopa's Success scholarship fund receives a gift of $ 200000. The money is invested in (answered by Boreal)

Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in (answered by ikleyn)

Maricopa's Success scholarship fund receives a gift of $ 125000. The money is invested in (answered by Boreal)

Maricopa's Success scholarship fund receives a gift of $130000. The money is invested in... (answered by VFBundy)

Maricopa's Success scholarship fund receives a gift of $110000. The money is invested in... (answered by ikleyn)