Question

the volume of blood in a persons body is proportional to body weight. a person who weighs 190 pounds has approximately 6 quarts of blood. estimate the number of quarts of blood in a person who weighs 120 pounds. complete the proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators. (\frac{x}{square}=\frac{square}{square}) (do not simplify.)

Explanation:

Step1: Set up the proportion

Let $x$ be the number of quarts of blood in a 120 - pound person. Since the volume of blood is proportional to body - weight, we have the proportion $\frac{x}{120}=\frac{6}{190}$.

Step2: Solve for $x$

Cross - multiply: $190x = 6\times120$. Then $190x=720$. So, $x=\frac{720}{190}=\frac{72}{19}\approx 3.79$.

Answer:

The proportion is $\frac{x}{120}=\frac{6}{190}$, and the number of quarts of blood in a 120 - pound person is approximately $3.79$ quarts.