turkeyberry
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

if 3 shirts and 4 caps cost $96, and 2 shirts and 5 caps cost $99, how much did each cap and each shirt cost?

Sagot :

tadvisohil886
hmmm..... let us try again...but this time with a different strategy,.... by the graph method.

The system is

3x + 4y =96
2x + 5y = 99.

We find solutions of each system and then plot them on a graph.

Solutions for equation 1 = (2, 22.5) and (30, 0)
Solutions for equation 2 = (49.5 , 0) and (1, 19.4)

Now, we plot both the equations on a graph paper and note its intersecting point.

Experimentally, we find the intersecting point is (12,15)

Thus, the solution for the system is x = 12 , y = 15.


Thus, we arrive at the conclusion 1 shirt  costs 12$
1 cap costs 15$
kate200468
[tex]x-cost\ of\ one\ shirt\\y-cost\ of\ one\ cap\\ \\3x+4y=\$96\ \ \ and\ \ \ 2x+5y=\$99\\ \\ \left \{ {{3x+4y=96\ /\cdot(-2)} \atop {2x+5y=99\ /\cdot(3)}} \right. \\ \\ \left \{ {{-6x-8y=-192} \atop {6x+15y=297} \right. \\ --------\\7y=105\ /:7\\\\y=15\ \ \Rightarrow\ \ 3x+4\cdot15=96\ \ \Rightarrow\ \ 3x=36\ /:3\ \ \Rightarrow\ \ x=12\\ \\Ans.\ one\ shirt\ cost\ \$12,\ \ one\ cap\ cost\ \$15[/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.