Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
What is system of equation?
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,
[tex]3x+2y=12.5[/tex]
Solve this equation as,
[tex]2y=12.5-3x\\y=\dfrac{12.5-3x}{2}[/tex] .....1
Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,
[tex]2x+4y=13[/tex]
Put the value of y in this equation and solve it further,
[tex]2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3[/tex]
Put this value of x in equation 1,
[tex]y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75[/tex]
The cost of an order of 1 hamburger and 2 orders of fries is,
[tex]C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5[/tex]
Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
Learn more about the system of equations here;
https://brainly.com/question/13729904
#SPJ1
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.