SOLUTION: the amount invested in two advertising agencies is 100000. one investment yields 10% and the annual income from this investment is 5000 less than the annual income from the other i

Question 839188: the amount invested in two advertising agencies is 100000. one investment yields 10% and the annual income from this investment is 5000 less than the annual income from the other investment yield 8%. Find the about invested at each rate
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the amount invested in two advertising agencies is 100000. one investment yields 10% and the annual income from this investment is 5000 less than the annual income from the other investment yield 8%. Find the about invested at each rate
x at 10%
y at 8%
total invested
x+y=100000.....................(1)
Interest from 8% investment - interest from 10% investment = 5000
8y/100 - 10x/100 = 5000
multiply by 100
8y-10x=500000.................(2)
1 x + 1 y = 100,000 .............1
Total value
-10 x + 8 y = 500,000 .............2
Eliminate y
multiply (1)by -8
Multiply (2) by 1
-8 x -8 y = -800,000
-10 x + 8 y = 500,000
Add the two equations
-18 x = -300,000
/ -18
x = 16,667
plug value of x in (1)
1 x + 1 y = 100,000
16,667 + y = 100,000
y = 100,000 -16,667
y = 83,333
y = 83,333
x= 16666.67
y= 83333.33
m.ananth@hotmail.ca

RELATED QUESTIONS
Joey has two investmentstotaling $15000 he receives 8%from one and 7% iterest from the... (answered by richwmiller)

Can you help me in translating this statement into equation? "A man has three sums of... (answered by stanbon)

Mr. Smith invested $18,000 part at 8% and the rest at 10%. The annual income from the... (answered by nerdybill)

Two investments totaling $31,000 produce an annual income of $2635. One investment yields (answered by addingup)

Two investments totaling $38,500 produce an annual income of $2590. One investment... (answered by addingup)

Two investments totaling $15,500 produce an annual income of $1450. One investment... (answered by VFBundy)

word problems stump me so bad and I am again stumped? can someone help me with this one? (answered by lwsshak3)

Sir please help me to resolve the below question. A woman has $500,000 invested in two... (answered by mananth)

two investment totaling $44,500 produce an annual income of $950. one investment yields... (answered by richwmiller,solver91311)