Answer:
First investment = $3100
Other investment = $3600
Step-by-step explanation:
Total investment made by Henry = $6700
Let one investment be x,
Then other investment = total investment - first investment = 6700 - x
A) For 8% interest, investment = x
dollar value of 8% investment = 8/100*x= 8x/100
A) For 5% interest, investment = 6700- x
dollar value of 8% investment = 5/100*(6700- x)= 5(6700- x)/100
Total return on both the investment = 8x/100 + 5(6700- x)/100
= (8x +33500 - 5x)/100 = (3x+33500)/100
Given that total return = 428
Therefore,
(3x+33500)/100 = 428
=> 3x+33500 = 428*100 = 42800
=> 3x = 42800- 33500 = 9300
=> x = 9300/3 = 3100
Thus, first investment = x = $3100
other investment = $(6700 - 3100) = $3600
