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91Ó°ÊÓ

Blood contains three types of cells: red blood cells, white blood cells, and platelets. For approximately every \(600 \mathrm{red}\) blood cells in healthy humans, there are 40 platelets and 1 white blood cell. (Source: American Red Cross Biomedical Services) Write the ratio of red blood cells to platelet cells.

Short Answer

Expert verified
The ratio of red blood cells to platelets is 15:1.

Step by step solution

01

Understanding the Problem

The problem gives the proportion of red blood cells, platelets, and white blood cells in human blood. We need to express the ratio of red blood cells to platelet cells based on this proportion.
02

Proportion Conversion

According to the problem, for every 600 red blood cells, there are 40 platelets and 1 white blood cell. Focus is only needed on red blood cells and platelets to find the desired ratio.
03

Simplifying the Ratio

The initial ratio of red blood cells to platelets is given as 600 red blood cells to 40 platelets. To simplify it, divide both numbers by their greatest common divisor, which is 40.
04

Perform Division

Divide 600 by 40 to get 15, and divide 40 by 40 to get 1. The simplified ratio is therefore 15 red blood cells to 1 platelet.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Red Blood Cells
Red blood cells (RBCs), also known as erythrocytes, play a vital role in your body by transporting oxygen from your lungs to other parts of your body. Each red blood cell contains hemoglobin, a protein that binds oxygen, making it possible for these cells to perform their critical function.
RBCs are also responsible for carrying carbon dioxide back from the tissues to the lungs for expulsion. They are typically described as flexible disc-shaped cells with a depression in the center, allowing them to move easily through the bloodstream.
  • They are the most numerous cell type in human blood.
  • RBCs have a lifespan of about 120 days.
  • They are continuously produced in the bone marrow to replace the aged or worn-out ones.
Understanding their function and characteristics is crucial when diving into concepts like blood cell ratios, as it helps illustrate the balance within the circulatory system.
Platelets
Platelets, also known as thrombocytes, are small, colorless cell fragments in your blood whose primary function is to stop bleeding. Whenever there is an injury, platelets gather at the site of damage, stick to the lining of the injured blood vessel, and form a blood clot.
This process prevents excessive blood loss and aids in healing. Unlike red blood cells, platelets do not have a nucleus and are much smaller in size. They are also produced in the bone marrow but differ in function significantly from both red and white blood cells.
  • They help maintain hemostasis – the regulation of bleeding.
  • Platelets are an essential part of the coagulation system.
  • They work in synergy with various clotting factors in the blood.
Their efficiency in forming clots provides an excellent opportunity to explore how their proportion relative to other blood cells is calculated and simplified in ratio problems.
Simplifying Ratios
Simplifying ratios is a fundamental skill in mathematics that helps represent quantities in their simplest form. When dealing with ratios, such as those between red blood cells to platelets, it's essential to break them down into reduced, whole-number terms. This simplification makes it easier to understand and compare relative sizes.
Here’s how you simplify a ratio:
  • Identify the given numbers (e.g., 600 red blood cells to 40 platelets).
  • Find the greatest common divisor (GCD) of those numbers; in this case, it's 40.
  • Divide both numbers by the GCD to get a simplified ratio.
  • For the example given, 600 divided by 40 yields 15, and 40 divided by 40 yields 1.
Therefore, the simplified ratio of red blood cells to platelets is 15 to 1. Simplifying ratios ensures clarity and ease when discussing proportions, especially in biological contexts.

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Most popular questions from this chapter

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