Question

1. you, newton, and descartes volunteer this summer. you have 2 times as many volunteer minutes as newton. descartes has 3 times as many volunteer minutes as newton. you, newton, and descartes have 5,040 volunteer minutes altogether. how many minutes do you volunteer?

Explanation:

Step1: Let the volunteer minutes of Newton be \(x\)

You have \(2x\) volunteer minutes. Descartes has \(3x\) volunteer minutes.

Step2: Set up the equation

\(x + 2x+3x=5040\)

Step3: Simplify the left - hand side of the equation

\(6x = 5040\)

Step4: Solve for \(x\)

\(x=\frac{5040}{6}=840\)

Step5: Find your volunteer minutes

Since your volunteer minutes is \(2x\), substitute \(x = 840\), then \(2x=2\times840 = 1680\)

Answer:

\(1680\)