aliciaandtheworld aliciaandtheworld
  • 21-02-2021
  • Mathematics
contestada

two partners divide a profit of $2,000 so that's a difference between the two amounts is half of their average. what is the ratio of the larger to the smaller amount?

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mathstudent55
mathstudent55 mathstudent55
  • 22-02-2021

Answer:

5/3

Step-by-step explanation:

The partners have a total profit of $2000. Since there are only 2 partners, then the average profit each one makes is $2000/2 = $1000.

The difference between the 2 amounts is half of the average, so it is $1000/2 = $500.

One amount is x.

The other amount is x + 500

The sum is 2000

x + x + 500 = 2000

2x + 500 = 2000

2x = 1500

x = 750

x + 500 = 750 + 500 = 1250

The partners had profit of $1250 and $750.

The ratio is 1250/750 = 125/75 = 5/3

Answer: 5/3

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