Find the ratio of the total number of boys in schools B and C together to the total number of girls in schools B and C together?

Understand the Problem

The question is asking to find the ratio of the total number of boys in schools B and C to the total number of girls in schools B and C, using the data from the provided line graph.

Answer

The ratio is $ \frac{25}{27} $.

Steps to Solve

Extract Data from Graph Identify the average number of boys and girls in schools B and C from the provided graph.

For school B, the average number of boys is approximately 150, and the average number of girls is approximately 120.
For school C, the average number of boys is approximately 100, and the average number of girls is approximately 150.

Calculate Total Boys in Schools B and C Add the number of boys in schools B and C. $$ \text{Total boys} = 150 + 100 = 250 $$
Calculate Total Girls in Schools B and C Add the number of girls in schools B and C. $$ \text{Total girls} = 120 + 150 = 270 $$
Formulate the Ratio Create the ratio of the total number of boys to the total number of girls. $$ \text{Ratio} = \frac{\text{Total boys}}{\text{Total girls}} = \frac{250}{270} $$
Simplify the Ratio Simplify the fraction.

Both 250 and 270 can be divided by 10. $$ \frac{250}{270} = \frac{25}{27} $$

The ratio of the total number of boys in schools B and C to the total number of girls in schools B and C is ( \frac{25}{27} ).

More Information

This ratio indicates that for every 25 boys, there are approximately 27 girls in the combined total of schools B and C. Understanding ratios is essential in analyzing and comparing quantities in various contexts.

Tips

Misreading Graph Values: Ensure accurate reading of the line graph for both boys and girls.
Incorrect Addition: Double-check addition when calculating total boys and girls.
Not Simplifying Properly: Confirm that the ratio is expressed in the simplest form.

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