Math Problem Statement

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The ratio of boys to girls at a summer camp is 2:3. If there are 25 children in total, how many boys are there?

Solution

To solve this problem, we can use the given ratio of boys to girls and the total number of children.

  1. Understand the ratio: The ratio of boys to girls is 2:32 : 3, meaning for every 2 boys, there are 3 girls.

  2. Define the parts: Since the ratio is 2:32 : 3, the total number of parts is 2+3=52 + 3 = 5 parts.

  3. Calculate the value of one part: There are 25 children in total, so each "part" represents 255=5\frac{25}{5} = 5

  4. Calculate the number of boys: Since boys represent 2 parts, 2×5=102 \times 5 = 10

So, there are 10 boys at the summer camp.

Would you like more details or have any questions?


Here are five related questions you might find interesting:

  1. How many girls are at the camp based on the ratio?
  2. If there were 50 children at the camp, how many boys and girls would there be?
  3. What if the ratio of boys to girls changed to 3:4 with 25 children; how many boys would there be then?
  4. How would the calculation change if the total children were an odd number not divisible by 5?
  5. Can ratios be used to solve problems involving other groups or items, like animals or objects?

Tip: In ratio problems, breaking down the total into "parts" based on the ratio can make it easier to calculate each group's amount.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportion
Division

Formulas

Total parts = sum of ratio parts
Value of one part = Total children / Total parts
Number of boys = Boys' ratio part * Value of one part

Theorems

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Suitable Grade Level

Grade 6-7