Question

Alex and Rachel agreed to form a partnership. The partnership agreement requires that
Alex invest $3000 more than two-third of what Rachel is to invest. If the partnerships
capital is to be $55,000, how much should Alex invest?
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Answer 1

Step-by-step explanation:

use this formula-

2/3x + 3000 + x =55000

u will get the solution. hope it helped :)

Answer 2

Answer:

Answer:

Alex investment = $ 23,800

Step-by-step explanation:

The statement is Alex and Rachel are forming partnership. According to the agreement Alex invest $3000 more than Rachel's two-third investment and the total capital is $55,000.Find out Alex investment.

Let x be the investment of Rachel. Lets make an equation to find the value of x.

x+2/3x +$3000=$55,000

Combine the like terms:

x+2/3x = 55,000 - 3000

x+2/3x = $52000

Now take the L.C.M of L.H.S

3x+2x/3 = $52000

Now Add the values of x.

5x/3 = $52000

Multiply both the terms by 3.

5x/3 *3 = 3* $52000

5x= 156000

Now divide both the sides by 5.

5x/5 = 156000/5

x= 31200

Now calculate Alex investment. According to the statement Alex invest $3000 more than 2/3 of Rachel.

We have found the Rachel investment which is $31200. Therefore we can write 2/3 of Rachel investment as 2/3(31200).

=2/3(31200)+$3000

=2*10400+3000

=20,800+3000

=$23,800

Rachel investment = $31200

Alex investment = $ 23,800

If you want to check whether the investments are correctly determined or not. You can add both the investments and the result will be the partnership's capital amount.

$31200+$ 23,800 = $55,000 ....