Math Problem Statement
Solution
The text in the image asks the following question (translated from Dutch to English):
"In your school, the ratio of girls to boys is 3 to 5. There are a total of 168 students in the school. How many boys are there in this school?"
Solution:
Given:
- The ratio of girls to boys is .
- Total number of students = 168.
Let's denote:
- The number of girls by ,
- The number of boys by .
According to the problem, the total number of students is the sum of girls and boys:
Now, solve for :
Thus, the number of boys is:
Answer:
There are 105 boys in the school.
Would you like more details or have any questions about this? Here are five related questions:
- If the ratio of girls to boys was 4:5 instead, how many boys would there be in the school?
- How many girls are there in the school based on the current ratio?
- What is the percentage of boys in the school?
- If 20 new girls join the school, what will be the new ratio of girls to boys?
- If the total number of students increased to 200 while keeping the same ratio, how many boys would there be?
Tip: When working with ratios, it's helpful to express the total amount as a sum of parts based on the ratio, and then solve for the variable representing one part.
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Math Problem Analysis
Mathematical Concepts
Ratios
Algebra
Formulas
Total Students = Number of Girls + Number of Boys
Number of Students = Ratio × x
Theorems
Proportionality
Suitable Grade Level
Grades 6-8