Question

Santa’s elves are selling are selling cookies for a sale. on the first day they sold 120 peppermint cookies and 30 cinnamon sugar cookies for total of $81. the next day they made $60 by selling 70 peppermint cookies and 60 cinnamon sugar cookies. find total cost of each cookie

Answer 1

The cost of one peppermint cookie is $0.60 and cost of one cinnamon sugar cookie is $0.30

Step-by-step explanation:

Let,

Cost of 1 peppermint cookie = x

Cost of 1 cinnamon cookie = y

According to given statement;

120x+30y=81     Eqn 1

70x+60y=60     Eqn 2

Multiplying Eqn 1 by 2

$2(120x+30y=81)\\240x+60y=162\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(240x+60y)-(70x+60y)=162-60\\240x+60y-70x-60y=102\\170x=102$

Dividing both sides by 170

$\frac{170x}{170}=\frac{102}{170}\\x=0.60$

Putting x=0.60 in Eqn 2

$70(0.60)+60y=60\\42+60y=60\\60y=60-42\\60y=18$

Dividing both sides by 60

$\frac{60y}{60}=\frac{18}{60}\\y=0.30$

The cost of one peppermint cookie is $0.60 and cost of one cinnamon sugar cookie is $0.30

Keywords: linear equation, elimination method

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