The volume of blood in a​ person's body is proportional to body weight. A person who weighs 140 pounds has approximately 4 quarts of blood. Estimate the number of quarts of blood in a person who weighs 110 pounds.
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Part 1
Complete the​ proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators.
x
equals

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​(Do not​ simplify.)

The problem gives us a proportional relationship between the volume of blood and body weight. To solve it, we can set up a proportion using the information provided.

Let \( x \) represent the number of quarts of blood in a person who weighs 110 pounds. We are given that a person who weighs 140 pounds has 4 quarts of blood.

The proportion will look like this:

\[
\frac{x}{110} = \frac{4}{140}
\]

This is the complete proportion, where the numerators represent the volumes of blood and the denominators represent the body weights.

Would you like me to solve the equation for \( x \) to find the number of quarts of blood in the person who weighs 110 pounds?

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Here are 5 related questions to explore:

1. How would you solve the proportion using cross-multiplication?
2. If a person weighs 160 pounds, how many quarts of blood would they have using the same proportion?
3. How does the concept of direct proportionality apply to this problem?
4. Can you explain why proportions are useful in solving real-life problems?
5. What other situations in the human body could involve direct proportionality?

**Tip:** When solving proportions, always check to ensure units match on both sides of the equation for consistency.

The volume of blood in a person's body is proportional to body weight. A person who weighs 140 pounds has approximately 4 quarts of blood. Estimate the number of quarts of blood in a person who weighs 110 pounds. Complete the proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators.

Learn how to calculate the volume of blood in a person based on their body weight using proportions. This problem demonstrates direct proportionality with a step-by-step guide to setting up and solving the proportion equation. Suitable for students in Grades 6-8.

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