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Direct proportion is a mathematical comparison between two numbers where the ratio of the two numbers is equal to a constant value. The proportion definition says that when two ratios are equivalent, they are in proportion. The symbol used to relate the proportions is "$鈭�$".

Here number of pints (p)of blood in a human bodyvaries directly with the person weight (w).

That is, $p\text{鈥夆赌�}鈭�\text{鈥夆赌�}w$

Therefore$p=kw\text{鈥夆赌夆�夆赌夆�夆赌�}鈥�\left(1\right)$

Where, kis a constant.

Find the value of the constant 鈥�k鈥� by substituting the value $p=8.4$when $w=120$

In equation (1)

$$\begin{gathered} 8.4=k\left(120\right) \\ \frac{8.4}{120}=k \\ \frac{84}{1200}=k \\ k=\frac{84}{1200} \end{gathered}$$

Substitute the value of k in equation (1) to get the required equation.

$p=\frac{84}{1200}w\text{鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆��}鈥�\left(2\right)$

This is the required equation.

Direct proportion is a mathematical comparison between two numbers where the ratio of the two numbers is equal to a constant value. The proportion definition says that when two ratios are equivalent, they are in proportion. The symbol used to relate the proportions is "$鈭�$".

Here number of pints (p)of blood in a human bodyvaries directly with the person weight (w).

That is,$p\text{鈥夆赌�}鈭�\text{鈥夆赌�}w$

Therefore$p=kw\text{鈥夆赌夆�夆赌夆�夆赌�}鈥�\left(1\right)$

Where, kis a constant.

First find the value of the constant 鈥�k鈥� by substituting the value $p=8.4$when $w=120$in$p=kw$

$$\begin{gathered} 8.4=k\left(120\right) \\ \frac{8.4}{120}=k \\ \frac{84}{1200}=k \\ k=\frac{84}{1200} \end{gathered}$$

Substitute the value of k in equation (1)

$p=\frac{84}{1200}w\text{鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆��}鈥�\left(2\right)$

This is the required equation.

Substitute $p=12$in equation (2) to get the weight of the person.

$$\begin{gathered} 12=\frac{84}{1200}w \\ 12脳1200=\frac{84}{1200}脳1200w \\ 14400=84w \\ \frac{14400}{84}=\frac{84}{84}w \\ 171.43=w \\ w=171.43 \end{gathered}$$

Thus, the weight of the person is 171.43 pounds.