Math Problem Statement
Mrs. Gomez has a ratio of 4 boys and 3 girls in her advisory class. If Mrs. Gomez has a total of 28 students in her advisory class, how many are girls, g?
Complete the proportion by filling in the missing box and solve for g.
3 g 28
There are girls in Mrs. Gomez’ advisory class.
Solution
Let's solve the problem by setting up the correct proportion and solving for .
Given:
- The ratio of boys to girls is .
- The total number of students is 28.
We need to find the number of girls, .
The ratio tells us that for every 4 boys, there are 3 girls. The total parts represented by this ratio are parts.
Since the total number of students is 28, we can set up the proportion:
Now, solve for by cross-multiplying:
Now, divide both sides by 7 to find :
So, there are 12 girls in Mrs. Gomez's advisory class.
Would you like further details or have any questions?
Here are 5 related questions for you to consider:
- How many boys are in the class?
- If 6 more students joined the class, keeping the same ratio, how many of them would be girls?
- If there were 35 students in the class, how many would be girls?
- How does the ratio of boys to girls affect the total number of students?
- What would the ratio be if the number of boys was doubled while keeping the number of girls the same?
Tip: When setting up proportions, ensure that the relationship between the parts remains consistent with the given ratio.
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Math Problem Analysis
Mathematical Concepts
Ratio
Proportion
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8