Layla and Aidan are selling cases of drinks for a fund raiser. Customers can by either fruit punch or lemonade. Aidan sold 6 cases of fruit punch and 4 cases of lemonade for a total of $80. Layla sold 6 cases of fruit punch and 5 cases of lemonade for $94. How much is a case of lemonade and how much is a case of fruit punch
Accepted Solution
A:
A case of lemonade cost $14 and a case of fruit punch cost $4.Step-by-step explanation:Let, A case of fruit punch = xA case of lemonade = yAccording to given statement; 6x+4y=80 Eqn 16x+5y=94 Eqn 2Subtracting Eqn 1 from Eqn 2[tex](6x+5y)-(6x+4y)=94-80\\6x+5y-6x-4y=14\\y=14[/tex]Putting y=14 in Eqn 1[tex]6x+4(14)=80\\6x+56=80\\6x=80-56\\6x=24[/tex]Dividing both sides by 6[tex]\frac{6x}{6}=\frac{24}{6}\\x=4[/tex]A case of lemonade cost $14 and a case of fruit punch cost $4.Keywords: Linear equation, SubtractionLearn more about linear equations at:brainly.com/question/5014716brainly.com/question/5023297#LearnwithBrainly