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a company sells two custom T-shirt and sweatshirt packages.
one package contains 10 dozen t-shirts and 14 dozen sweatshirts for $1544.
the other package contains 18 dozen T-shirts and 8 dozen sweatshirts for $1472.
find the cost of a dozen t-shirts and a dozen sweatshirts
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Let x = the cost of a dozen of t-shirts
y = the cost of a dozen of sweatshirts
Write equations as you read the problem
10x + 14y = 1544 dollars (1)
18x + 8y = 1472 dollars (2)
Next apply the determinant methos of solution and get the answers
cost a dozen of t-shirt x = = 48 dollars
cost a dozen of t-sweatshirt y = = 76 dollars
Solved.
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On the determinant method (= the Cramer's rule) for 2 equations in 2 unknowns see the lessons
- Solution of the linear system of two equations in two unknowns using determinant
- What is a matrix?
- Determinant of a 2x2-matrix
- HOW TO solve system of linear equations in two unknowns using determinant (Cramer's rule)
- Solving systems of linear equations in two unknowns using the Cramer's rule
- Solving word problems by the Cramer's rule after reducing to systems of linear equations in two unknowns
in this site.