Steve and elizabeth decide to become partners in a children’s cooking school. they need $80,000 for the franchise. they invest 3: 4 radio respectively. about what percent of the business is owned elizabeth?

Based on the amount invested and the ratio invested in, Elizabeth owns 57.1% of the children's cooking school.

Steve and Elizabeth invested in a ratio of 3:4.

The total amount invested by Elizabeth is:

= Ratio invested by Elizabeth / Sum of ratio

= 4 / ( 3 + 4

= 4 / 7

= 57.1%

In conclusion, Elizabeth owns 57.1% of the business.

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57.143%  

Step-by-step explanation:

We have been given that Steve and Elizabeth decide to become partners in a children’s cooking school. They need $80,000 for the franchise. They invest 3:4 radio respectively.

Let x be the amount that Elizabeth owned in business. The proportions for the partnership of Steve and Elizabeth will be same.

Therefore, Elizabeth's share in children's cooking school is $45714.29.

Now let us find 45714.29 is what percent of 80000.

Therefore, Elizabeth owned 57.143% of the business.