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Sophie [7]
3 years ago
14

Share £747 in the ratio 2:7 between Tom and Ben. Tom will get £ Ben will get £

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

<em>tom \: will \: get \:£166  \\ ben \: will \: get   \: £581\\  solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x =  \frac{747}{9}  \\ x = £83 \\ replacing \: value \\ 2x \\  = 2 \times 83 \\  = 166 \\ 7x \\  = 7 \times 83 \\  = 581 \\ hope \: it \: helps</em>

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Step-by-step explanation:

HI !


 px + 3y - ( p-3)=0


a₁ = p , b₁ = 3 , c₁ = - (p-3)


=====================


12x + py - p=0


a₂ = 12  , b₂ = p , c₂ = -p


since , the equations have infinite solutions , 


a₁/a₂ = b₁/b₂ = c₁/c₂


p/12 = 3/p =  p-3/p



--------------------------------------


p/12 = 3/p


cross multiply ,


p² = 36


p = √36

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for the value of p = 6 , the equations will have infinitely many solutions





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