# Applications of Linear Equations : Word Problem

Not what you're looking for?

A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reason, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.

I don't know what formula or eqaution I should use.

I was thinking maybe x=boys and y=girls thus

x(.60)+ y(.40)=total students and

(.60x+6)+(.40y-6)= number of students

I'm not sure if I set this up correctly.

##### Purchase this Solution

##### Solution Summary

An application problem of percentages is solved. The solution is well explained.

##### Solution Preview

No.

Suppose there are initially x students in the group. 0.6x are boys and 0.4x are girls. Now due to some reason, 6 girls couldn't come. The problem says the professor admitted six boys. ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.