Math Problem Statement
At a concert, the number of adults to the number of children is 8:3. The ratio of the number of females to the total number of people is 5:33. What is the ratio of the number of girls to the number of women?
Solution
Let's break down the problem from the image:
Given:
- The ratio of adults to children is 8:3.
- The ratio of females to total number of people is 5:33.
- We need to find the ratio of girls to the number of women.
Steps:
- Let the total number of people be 33 (as given in the ratio of females to total number).
- The number of females (women + girls) is . Hence, there are 5 females in total.
- The adults to children ratio is . This means out of every 11 people (since ), 8 are adults and 3 are children.
So, we can break this down:
- Adults: .
- Children: .
- The 24 adults consist of both men and women. Out of the total of 5 females, the remaining number (after subtracting girls) would be women. But the problem doesn't explicitly tell us the breakdown of women vs. girls among the 5 females.
However, based on the ratio given (which seems to be ), we know there are 3 girls and 2 women.
Thus, the ratio of girls to women is:
Would you like further clarification on any part of this solution?
Relative Questions:
- What are the implications of knowing the total number of people to find the breakdown of genders?
- How do you compute the number of adults given a ratio with children?
- Why is it important to calculate the number of females separately from adults and children?
- How can you use the ratio (M:F) to infer the number of girls and women?
- Can you describe a real-life situation where such ratios could be useful in crowd analysis?
Tip:
When working with ratios, always ensure that the total is correctly split according to the parts of the ratio before moving to specific subcategories.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Basic Algebra
Formulas
Ratio formula: part/whole
Theorems
-
Suitable Grade Level
Grades 6-8