Question

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

Answer 1

The cafeteria sold 41 corn chips and 80 potato chips.

Step-by-step explanation:

Let,

Corn chips = x

Potato chips = y

Price of corn chips = $0.80

Price of potato chips = $0.60

According to given statement;

x+y= 121   Eqn 1

0.80x+0.60y=80.80   Eqn 2

Multiplying Eqn 1 by 0.80

$0.80(x+y= 121)\\0.80x+0.80y=96.80\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(0.80x+0.80y)-(0.80x+0.60y)=96.80-80.80\\0.80x+0.80y-0.80x-0.60y=16\\0.20y=16$

Dividing both sides by 0.20

$\frac{0.20y}{0.20}=\frac{16}{0.20}\\y=80$

Putting y=80 in Eqn 1

$x+80=121\\x=121-80\\x=41$

The cafeteria sold 41 corn chips and 80 potato chips.

Keywords: linear equation, subtraction

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