Joe thea and taylor invested in a partnership in the ratio 1:4:7, respectively. years later, when the partnership was worth 1.6 million, thea decides to go to graduate school and sells her part of the partnership to joe. what percent of the business will joe own after he buys thea's portion

Respuesta :

Answer: 41.67%

Given:

If X=Joe’s investment in the business

4X= Thea’s investment

7X= Taylor’s investment

When it reached 1.6 million,  

X+4X+7X=1,600,000

12x=1,600,000

X=1,600,000/12

X= 133,333.3 Joe’s investment

4x= 4(133,333.3)

=533,333.3 is Thea’s investment.

If this amount will be added to Joe’s, Joe’s investment will be 666,666.7 or 41.67% of the business