Math Problem Statement

9 girls and 11 boys can do a piece of work in 25 days. If 3 girls work as much as 5 boys, in how many days will 6 girls and 10 boys finish the same work? Do it by using cross-multiplication and write if it is direct indirect variation.and write the cross multiplication in small numbers

Solution

To solve this problem, we'll use the concept of work and the relation between the working capacities of girls and boys, along with the method of cross-multiplication. We'll also determine if it's a direct or indirect variation.

Step 1: Determine the equivalent work rate

Given:

  • 33 girls work as much as 55 boys.

This implies the work rate of 1 girl is equivalent to the work rate of 53\frac{5}{3} boys.

Let the work rate of 1 boy be xx. Therefore, the work rate of 1 girl is 53x\frac{5}{3}x.

Step 2: Calculate the total work rate of 9 girls and 11 boys

The total work rate for 9 girls and 11 boys is: [ 9 \

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Math Problem Analysis

Mathematical Concepts

Work and Time Problems
Proportions
Cross-multiplication

Formulas

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Theorems

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Suitable Grade Level

Grades 9-10