Solving a Cost System Using Matrix Methods

00:00 5 marks

A school club purchased t-shirts and pens for an event. The club bought 2 t-shirts and 3 pens for a total of $20, and 3 t-shirts and 2 pens for a total of $18. Use a 2×2 system of equations and matrix methods to determine the cost of one t-shirt and one pen.

Hint Hint

Hint

Set up the equations 2T + 3P = 20 and 3T + 2P = 18, then use the inverse of the coefficient matrix to solve for T and P.

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Complete Answer

T-shirt: $2.80, Pen: $4.80

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Common Errors Common Errors

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Formula Booklet

Solving a Cost System Using Matrix Methods

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Solving a Cost System Using Matrix Methods

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