Q:

7.The school cafeteria sells corn chips for $0.80 andpotato chips for $0.60. On Tuesday they sold 121bags earning $80.80. How many of each item didthey sell?

Accepted Solution

A:
The cafeteria sold 41 corn chips and 80 potato chips.Step-by-step explanation:Let, Corn chips = xPotato chips = yPrice of corn chips = $0.80Price of potato chips = $0.60According to given statement;x+y= 121 Β  Eqn 10.80x+0.60y=80.80 Β  Eqn 2Multiplying Eqn 1 by 0.80[tex]0.80(x+y= 121)\\0.80x+0.80y=96.80\ \ \ Eqn\ 3[/tex]Subtracting Eqn 2 from Eqn 3[tex](0.80x+0.80y)-(0.80x+0.60y)=96.80-80.80\\0.80x+0.80y-0.80x-0.60y=16\\0.20y=16[/tex]Dividing both sides by 0.20[tex]\frac{0.20y}{0.20}=\frac{16}{0.20}\\y=80[/tex]Putting y=80 in Eqn 1[tex]x+80=121\\x=121-80\\x=41[/tex]The cafeteria sold 41 corn chips and 80 potato chips.Keywords: linear equation, subtractionLearn more about linear equations at:brainly.com/question/4639731brainly.com/question/4655616#LearnwithBrainly