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nawafcanada
09.04.2020 •
Mathematics
An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If the investor’s total profit was $115, how much was invested in each mutual fund?
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Ответ:
$500 and $2000
Step-by-step explanation:
Let x represent the total investment = $2500
also, this total is split into two different funds
Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%
So,
a + b = x
a + b = 2500 eq 1
Profit from each fund gives;
0.03 a + 0.05b = 115 eq 2
Solve simultaneously using substitution method
From eq 1;
b = 2500 - a
Slot in this value in eq 2
0.03a + 0.05 (2500 - a) = 115
expand
0.03a + 125 - 0.05a = 115
collect like terms
0.03a - 0.05a = 115 - 125
-0.02a = -10
Divide both sides by -0.02
a = $500
Put this value of a in eq 1
500 + b = 2500
Subtract 500 from both sides
b = 2500 - 500
b = $2000
Ответ: