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# word problem

an investor invested a total \$2900 in two mutual funds, one fund earned 7% where the other earned 2%, the investors total profit was \$148.

what was the amount invested in the fund that earned 7%?

what was the amount invested in the fund that earned 2%?

Let:

x = amount invested in fund 1, which earned 7%  and

y = amount invested in fund 2, which earned 2%

Set up a system of 2 equations:

The total amount invested is the sum of the amounts invested in fund 1 plus the amount invested in fund 2:

I -      x + y = 2,900

The total interest earned is the sum of the interest earned by fund 1 plus the interest earned by fund 2:

II -    0.07x + 0.02y = 148

Solve for x in equation I:  x = 2,900 - y

Substitute x in equation II: 0.07(2,900 - y) + 0.02y = 148

Solve for y:                        203 - 0.07y + 0.02 y = 148

-0.05y = -55

y = 1,100

Since y represents the amount invested in fund 2, we may now write the answer:

The amount invested in fund 2, which earned 2% was \$1,100

The amount invested in fund 1, which earned 7% was \$1,800

Total amount invested: \$1,100 + \$1,800 = \$2,900

Total interest earned:  \$1,100(0.02) + \$1,800(0.07) = \$148

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