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

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:
- \( 3 \) girls work as much as \( 5 \) boys.

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

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

### 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 \

Learn how to solve a work and time problem involving 9 girls and 11 boys completing a task in 25 days. Understand the relationship between girls' and boys' work rates using cross-multiplication. Find out if the variation is direct or indirect. Suitable for Grades 9-10.

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