# Three business people start a franchise as partners. Fred contributes $44,000, Bill contributes $33,000, and Jasmine contributes $23,000. Use ratios (in lowest terms) to compare: (a) ...

- Three business people start a franchise as partners. Fred contributes $44,000, Bill contributes $33,000, and Jasmine contributes $23,000. Use ratios (in lowest terms) to compare:

(a) Fred’s contribution to Bill’s contribution

(b) Fred’s contribution to the overall total contribution of all three partners.

(c) Jasmine’s contribution to the total of the other two partners

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### 2 Answers

Three business people start a franchise as partners. Fred contributes $44000, Bill contributes $33000, and Jasmine contributes $23000.

The ratio of Fred’s contribution to Bill’s contribution is `44000/33000` = 4:3

The ratio of Fred’s contribution to the overall total contribution of all three partners is `44000/(44000 + 33000+23000)` = 11:25

The ratio of Jasmine’s contribution to the total of the other two partners is `23000/(33000+44000)` = 23:77

First I put all the contributions over the total of the three contrubutions. I was able to simply it to a common denominator of 100 for all 3. Fred is 44, Bill is 33, and Jasmine is 23. All together it equals 100. These numbers are in lowest terms because you were able to divide 100,000 to all three numbers (ex. Fred- 44,000/100,000 = 44/100, etc.)

**(a) 44:33**

*Fred in lowest terms is 44, and Bill is 33.*

**(b) 44:100**

*Fred contributes 44, and altogether if you add them up (44+33+23) it equals 100 altogether in lowest terms.*

**(c) 23: 77**

*Jasmine contributes 23, and the other two partners are Fred and Bill, so you add them up (44+33) and the sum is 77.*