Calculations Involving Rational Numbers: Apply It 1

  • Add, subtract, multiple and divide fractions
  • Solve real-world problems using arithmetic with rational functions
  • Convert between improper fractions and mixed numbers

Rational Numbers in Robotics: Budgeting for the Build

A group of students working on a robotics project

 

Alex is the treasurer of the school’s robotics club. The club has received a grant to build a robot for an upcoming competition, and Alex must allocate funds for various components and activities. Your task is to help Alex budget effectively, ensuring that every dollar and every minute is used wisely.

Allocating Funds

The club has [latex]$1,200[/latex] for the project. The robot’s core components cost [latex]\frac{5}{8}[/latex] of the total budget, and the programming software requires [latex]\frac{1}{6}[/latex] of the remaining funds.


Snack Budgeting

During the build sessions, the club provides snacks. They have allocated [latex]\frac{1}{10}[/latex] of the total budget for snacks. A pack of snacks costs [latex]$7.50[/latex].


Documentation

The club wants to document their project with a video. They have [latex]\frac{1}{5}[/latex] of the remaining budget after snacks for this purpose. How much money can they spend on video documentation?