Question

Kaya and fred agree to form a partnership. the partnership agreement requires that fred invest $2500 more than two thirds of what kaya is to invest. if the total investment in the partnership is to be $55 000, how much should each partner invest?

Answer 1

Kaya should invest $31,500 and Fred should invest $23,500 in the partnership. This was determined by setting up an equation based on the requirements that Fred's investment is $2,500 more than two-thirds of Kaya's investment, with the total investment being $55,000.

Step-by-step explanation:

Kaya and Fred are forming a partnership with a total investment of $55,000. Fred's investment is stated to be $2,500 more than two-thirds of Kaya's investment. To find out how much each partner should invest, we can set up a system of equations.

Let K represent the amount Kaya will invest. This means that Fred will invest (2/3)K + $2,500. The equation for the total investment is:

K + (2/3)K + $2,500 = $55,000

By combining like terms, we get:

(5/3)K + $2,500 = $55,000

Subtracting $2,500 from both sides gives us:

(5/3)K = $52,500

We then multiply both sides by the reciprocal of (5/3), which is (3/5), to solve for K:

K = $52,500 * (3/5)

K = $31,500

Now that we know Kaya's investment, we can find Fred's investment by plugging Kaya's amount into Fred's investment equation:

Fred's investment = (2/3) * $31,500 + $2,500

Fred's investment = $21,000 + $2,500

Fred's investment = $23,500

Therefore, Kaya should invest $31,500 and Fred should invest $23,500 in the partnership.