simonamaria223 simonamaria223
  • 13-10-2019
  • Mathematics
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David and Mark make some money and share it in the 3: 2 ratio. David receives 8 GBP more than Mark. How much did Mark get?​

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gmany
gmany gmany
  • 13-10-2019

Answer:

Mark get 16£

Step-by-step explanation:

[tex]M-\text{Mark's money}\ (\£)\\M+8-\text{David's money}\ (\£)\\3:2-\text{ratio}\\\\(M+8):M=3:2\\\\\dfrac{M+8}{M}=\dfrac{3}{2}\qquad\text{cross multiply}\\\\3M=2(M+8)\qquad\text{use the distributive property}\ a(b+c)=b+ac\\\\3M=2M+(2)(8)\qquad\text{subtract}\ 2M\ \text{from both sides}\\\\3M-2M=2M-2M+16\\\\M=16[/tex]

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