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Tatia, Mary, and Erica were partners in business. Tatia received twice as much of the profit as Erica received. Mary received 2/3 of the amount Tatia received. If the total profit was $52,000, how much did Mary recieve

User Kouga
by
8.5k points

2 Answers

4 votes

Answer:

$16000

Explanation:

erica would get -n

tatia gets -2n

Mary gets -2/3 of 2n

2n +( 2/3 of 2 n ) + n =$52000

2n + 4/3n+ n=$52000

3 4/3 n=$52000

13/3 n= $52000

n= $16000

User Manoj Kadolkar
by
7.0k points
3 votes

Answer:

$16000

Explanation:

let Amount Erica received be 'x'

Tatia received = 2x

Mary received = 2/3(2x) = 4x/3

x + 2x + 4/3(x) = 52000

3x + 4x/3 = 52000

(9x+4x)/3 = 52000

13x/3 = 52000

x = (52000 x 3) / 13

x = 4000 x 3

x = 12000

Mary Received = 4x/3 = 4(12000)/3 = 16000

User David Saxon
by
8.1k points

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