Question

Dan and Paul share some money in the ratio of 13:5

Answer 1

Answer:

40 pounds

Step-by-step explanation:

13/18)T - 32 = (5/18)T + 32    simplify

 

 

Answer 2

Paul originally have $40

Further explanation  

Comparison is an effort to compare two or more objects in terms of shape or size, or number  

Proportional Comparisons / Directly proportional are comparisons of two or more numbers where one number increases, the other numbers also increase at the same rate  

 Can be formulated  

$\displaystyle \frac {x1} {y1} = \frac {x2} {y2}$

 so that if:  

 x = 2  

 then  

$\displaystyle y ={ \frac {y} {x} \times \: 2}$

 While the reversal value comparison / inversely proportional is the comparison of two or more numbers where one number increases, the other number decreases in value  

or when one value decreases at the same rate that the other increases  

 Can be formulated  

$\displaystyle \frac {x1} {y2} = \frac {x2} {y1}$

so that if:  

 x = 2  

 then  

$\displaystyle y = \frac {x} {y} \times \: 2$

Dan and Paul ratio of 13:5 ⇒ D:P = 13:5

Then :

$\rm Dan=\dfrac{13}{5}Paul$

Dan gives Paul £32 and the ratio 1:1

$\rm D-32 : P+32=1:1$

D-32 = P +32

$\rm \dfrac{13}{5}P-32=P+32\\\\\dfrac{13}{5}P-P=64\\\\\dfrac{8}{5}P=64\\\\P=40\Rightarrow D=\dfrac{13}{5}\times 40=104$

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