Turkeyberryidn
Answered

IDNLearn.com provides a collaborative environment for finding accurate answers. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.

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 :

Tadvisohil886idn
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$
Kate200468idn
[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 appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.