Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of lemonade is $12. How much does it cost for 1 cheeseburger and 2 cups of lemonade?

Sagot :

thisisbenmanley
c= the price of a cheeseburger and l = the price of a lemonade:

[tex]3c + 2l=14\\2c+4l=12[/tex]

Divide the second equation by -2 to begin the process of solving by elimination:

[tex]3c + 2l=14\\-1/2\ (2c+4l=12)\\\\3c+2l=14\\-c-2l=-6\\\\2c=8\\c=4[/tex]

Now that we have c, 4, we can plug it in to one of the equations to find l:

[tex]3c + 2l=14\\3(4)+2l=14\\12+2l=14\\2l=2\\l=1[/tex]

So, each cheeseburger is $4 and each lemonade is $1.  The final answer is:

1 cheeseburger and 2 cups of lemonade would cost $6.
14 dollars= 3 cheeseburger plus 2 cups of lemonade
14=3[4]+2[1]=14
1 cheeseburger= 4 dollars
1 lemonade= 1 dollars
12 dollars= 2cheeseburger plus 4 cups of lemonade

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.