Question

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​

Answer 1

$600

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

Answer 2

$280

Explanation:

Ratio = 2 : 5

Karen's Share = 2x

Natasha's share = 5x

Natasha received $120 more than karen.

5x = 2x + 120

5x - 2x = 120

3x = 120

x = 120/3

x = 40

Karen's share = 2*40 = $ 80

Natasha's share = 5*40 = $ 200

Sum of money = 80 +200 = $ 280