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Amanda, Chen and Mark shared some money in the ratio 2: 4: 9. Mark got £84 more than Amanda. How much money did Chen get

Unit 4.4 Percentages
The problem

Amanda, Chen, and Mark shared some money in the ratio 2: 4: 9. Mark got £84 more than Amanda. How much money did Chen get?

The solution

Amanda = 2 parts( 2x) , Chen = 4 parts( 4x), Mark = 9 parts ( 9x).

Mark got £84 more than Amanda => 9x = 2x +84

                                                       =>9x -2x = 84

                                                       => 7x = 84 

                                                       => x = 12

 

Amanda => 2x = 2 x 12 = £44

 Chen    =>  4x = 4 x 12= £48

 

 

 

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Ruhi Quadri Published on 08 Jan 2021
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