A sum of money was divided between two friends, Karen and Natasha in the ratio 2:5. If Natasha recieved $210 more than Karen, find the sum they shared.

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jeew-m | College Teacher | (Level 1) Educator Emeritus

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Let us say Karen received X amount of money. Then Natasha has received (X+210).

The ratio that the money divided was 2:5.

`X/(X+210) = 2/5`

`5X = 2(X+210)`

`3X = 420`

` X = 140`

 

Total money shared

`= X+(X+210)`

`= 140+140+210`

`= 490`

 

So the total money shared was $490.

 

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