Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Using a system of equations, it is found that both workout plans last 45 minutes.
For the system, we have that:
- x is the length of a Plan A workout.
- y is the length of a Plan B workout.
On Monday there were 5 clients who did Plan A and 3 who did Plan B, for a total of 6 hours, hence:
[tex]5x + 3y = 6[/tex]
On Tuesday there were 7 clients who did Plan A and 9 who did Plan B, for a total of 12 hours, hence:
[tex]7x + 9y = 12[/tex]
The system is:
[tex]5x + 3y = 6[/tex]
[tex]7x + 9y = 12[/tex]
Multiplying the first equation by -3:
[tex]-15x - 9y = -18[/tex]
[tex]7x + 9y = 12[/tex]
Adding them:
[tex]-8x = -6[/tex]
[tex]8x = 6[/tex]
[tex]x = \frac{3}{4}[/tex]
In minutes, x = 45 minutes.
Then:
[tex]9y = 12 - 7x[/tex]
[tex]9y = 12 - 7(0.75)[/tex]
[tex]y = \frac{12 - 7(0.75)}{9}[/tex]
[tex]y = 0.75[/tex]
Also 45 minutes.
A similar problem, also solved using a system of equations, is given at https://brainly.com/question/14183076
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
