# Systems Of Equations

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• A burger costs \$1.50 and a soda costs \$0.50. I sold a total of ﻿87 burgers and sodas, how many burgers and sodas did i sell separately?
• I have to sell enough burgers and sodas to get \$78.50 to go on a school field trip to a castle﻿
• 1.﻿ What are the variables? x- burgers                                              y-sodas 2. Write 2 equations: 1.50x + 0.50y= 78.50 x + y= 87 3. SOLVE Rewrite x + 7= 87 x-x+y=87-x    -->     y=-x + 87 Plug the Y into the first equation 1.5x+0.5(-x+87)=78.5 Distribute  1.5x+(-0.5x)+43.5=78.5    Combine like terms  x+43.5=78.5 Solve for X  x+43.5 -43.5=78.5 -43.5 X=35 Plug in X to the second equation to get Y y= -x + 87 y= -35 + 87 y= 52
• I've got to figure this out to get to the castle.﻿
• ﻿4. Check Solution- (35, 52) 1.5(35)+0.5(52)=78.5 52.5+26= 78.5  There are 35 burgers and 52 sodas
• ﻿I sold the right amount of burgers and sodas so now I get to go to the castle!!
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