Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
The 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.
What is a 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.
Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school.
- (a) Write a system of equations that model the problem.
Let x burgers are sold by Mrs. Garcia's class and s salad is sold by Mr. Runner’s class. Together, the classes sold 79 items for their school. Thus,
[tex]x + s = 79[/tex] .....1
Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes earned $118.17 for their school. Thus,
[tex]1.36(x) + 1.65(s) = 118.17\\1.36x + 1.65s = 118.17[/tex] ....2
- (b) Solve the systems of equations from part a.
Rewrite the first equation,
[tex]x + s = 79 \\ x = 79-s[/tex] .....3
Put this value of x in equation 2,
[tex]1.36(79-s) + 1.65s = 118.17\\107.44-1.36s + 1.65s = 118.17\\0.29s=118.17-107.44\\s=\dfrac{10.73}{0.29}\\s=37[/tex]
Put this value in equation 3,
[tex]x=79-37\\x=42[/tex]
- (c) Whose class sold more items?
42 burgers are sold by Mrs. Garcia's class and 37 salad is sold by Mr. Runner’s class. Thus, Mrs. Garcia's class sold more items.
- (d) Which class earned more money?
Money earned by Mrs. Garcia's class by selling 42 burger at $1.36 each is,
[tex]M_x=1.36\times42\\M_x=57.12[/tex]
Money earned by Mr. Runner’s class by selling 37 salad at $1.65 each is,
[tex]M_s=1.65\times37\\M_s=61.05[/tex]
Thus, Mr. Runner’s class earned more money.
Hence, the 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.
Learn more about the system of equations here;
https://brainly.com/question/13729904
#SPJ1
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
