Answer:
40 pounds
Step-by-step explanation:
13/18)T - 32 = (5/18)T + 32 simplify
Paul originally have $40
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
[tex]\displaystyle \frac {x1} {y1} = \frac {x2} {y2}[/tex]
so that if:
x = 2
then
[tex]\displaystyle y ={ \frac {y} {x} \times \: 2}[/tex]
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
[tex]\displaystyle \frac {x1} {y2} = \frac {x2} {y1}[/tex]
so that if:
x = 2
then
[tex]\displaystyle y = \frac {x} {y} \times \: 2[/tex]
Dan and Paul ratio of 13:5 ⇒ D:P = 13:5
Then :
[tex]\rm Dan=\dfrac{13}{5}Paul[/tex]
Dan gives Paul £32 and the ratio 1:1
[tex]\rm D-32 : P+32=1:1[/tex]
D-32 = P +32
[tex]\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[/tex]
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