a sum of money was divided between two friends, karen and Natasha in the ratio 2:5. If Natasha received $120 more than karen, find the sum of money shared​

$600

Step-by-step explanation:

Let x be the total amount divided

Karen gets (2/7) x

Natasha gets  (5/7) x

(5/7) x  = (2/7) x + 210

Multiply both sides by 7

5x = 2x + 1470

3x = 1470

x = 490

Natasha gets (5/7) (490) = 350

Karen gets (2/7)(490) = 140

The difference in ration is 5 - 3 = 2. So divide 150 by 2 to get the amount for each part of the ratio which is 75. the total ration is 3 + 5 = 8. So to get the total original sum of money, multiply 75 and 8 which is $600. for each person just multiply 75 with their respective ratios. For A: 75 X 3 = $225. For B: 75 x 5= $375. To check that it is correct add 225 and 375, and you should get 600.

according to my calculations, the starting amount will be 600

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