Question
he volume of blood in a person's body is proportional to body weight. A person who weighs 130 pounds has approximately 4 quarts of blood. Estimate the number of quarts of blood in a person who weighs 150 pounds.
Question content area bottom
Part 1
Complete the proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators.
x
equals
4
150
130
(Do not simplify.)
Part 2
There are approximately
140 quarts of blood in a person who weighs 150 pounds.
(Round to two decimal places as needed.)
Question content area bottom
Part 1
Complete the proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators.
x
equals
4
150
130
(Do not simplify.)
Part 2
There are approximately
140 quarts of blood in a person who weighs 150 pounds.
(Round to two decimal places as needed.)
Answers
GPT-4o mini
To solve this problem, we need to use the concept of proportions. We have the following information:
1. A person who weighs 130 pounds has 4 quarts of blood.
2. We want to find the volume of blood (x) in quarts for a person who weighs 150 pounds.
### Part 1: Setting up the proportion
We can set up the proportion as follows:
\[
\frac{x}{150} = \frac{4}{130}
\]
### Part 2: Solving for x
To find x, we can cross-multiply:
\[
x \cdot 130 = 4 \cdot 150
\]
Calculating \(4 \cdot 150\):
\[
4 \cdot 150 = 600
\]
So, we have:
\[
130x = 600
\]
Now, solving for x by dividing both sides by 130:
\[
x = \frac{600}{130}
\]
Calculating \( \frac{600}{130} \):
\[
x = 4.615384615384615
\]
Rounding to two decimal places:
\[
x \approx 4.62
\]
So, there are approximately **4.62 quarts** of blood in a person who weighs 150 pounds.
In conclusion, the answers are:
- **Part 1**: \( \frac{x}{150} = \frac{4}{130} \)
- **Part 2**: There are approximately **4.62 quarts of blood** in a person who weighs 150 pounds (rounded to two decimal places).
1. A person who weighs 130 pounds has 4 quarts of blood.
2. We want to find the volume of blood (x) in quarts for a person who weighs 150 pounds.
### Part 1: Setting up the proportion
We can set up the proportion as follows:
\[
\frac{x}{150} = \frac{4}{130}
\]
### Part 2: Solving for x
To find x, we can cross-multiply:
\[
x \cdot 130 = 4 \cdot 150
\]
Calculating \(4 \cdot 150\):
\[
4 \cdot 150 = 600
\]
So, we have:
\[
130x = 600
\]
Now, solving for x by dividing both sides by 130:
\[
x = \frac{600}{130}
\]
Calculating \( \frac{600}{130} \):
\[
x = 4.615384615384615
\]
Rounding to two decimal places:
\[
x \approx 4.62
\]
So, there are approximately **4.62 quarts** of blood in a person who weighs 150 pounds.
In conclusion, the answers are:
- **Part 1**: \( \frac{x}{150} = \frac{4}{130} \)
- **Part 2**: There are approximately **4.62 quarts of blood** in a person who weighs 150 pounds (rounded to two decimal places).