solve each problem by setting up and solving an appropriate system of equations.Sue bought 3packages of cookies and 2sacks of potato chips for $13.50

generals336

generals336

Answered question

2021-09-12

solve each problem by setting up and solving an appropriate system of equations. Sue bought 3 packages of cookies and 2 sacks of potato chips for $13.50. Later she bought 2 more packages of cookies and 5 additional sacks of potato chips for $20.00. Find the price of a package of cookies.

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-09-13Added 91 answers

Consider the price of a package of cookies is x and the price of a sack of chips is y. The sum of 3 packages of cookies and 2 sacks of potato chips is $13.50, 3x+2y=13.50, and the sum of 2 packages of cookies and 5 sacks of potato chips is $20, 2x+5y=20.

Multiply 3x+2y=13.50 by 2 and 2x+5y=20 by 3 to get 6x+4y=27 and 6x+15y=60, respectively.

Subtract 6x+4y=27 from 6x+15y=60 to get 11y=33.

3x+2y=13.52x+5y=202(3x+2y=13.5)3(2x+5y=20)(6x06+x11+514y=62037)3

Divide both sides by 11 to obtain the price of a sack of chips, $3.

Substitute y with 3 in 3x+2y=13.50 to get 3x+6=13.50.

Subtract 6 from both sides and then divide by 3 to obtain the price of a package of cookies, $2.5 3x+2y=13.503x+2(3)=13.503x=13.5063x=7.5x=7.53=2.511y=33y=3311=$3

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