An ice cream seller sells three sizes of ice cream: small, medium and large. On Monday she sold 18 small ice creams, 12 medium ice creams and 16 large ice creams, and she received £150.00 in payment. On Tuesday she sold 8 small ice creams, 7 medium ice creams and 4 large ice creams, and she received £58.00 in payment. On Wednesday she sold 25 small ice creams, 5 medium ice creams and 6 large ice creams, and she received £98.00 in payment. By modelling the problem as a system of three simultaneous linear equations, use matrices to find the cost (in pounds) of each size of ice cream.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 55SE: Your roommate, Sarah, offered to buy groceries for you and your other roommate. The total bill was...
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An ice cream seller sells three sizes of ice cream: small, medium and large. On Monday she sold 18 small ice creams, 12 medium ice creams and 16 large ice creams, and she received £150.00 in payment. On Tuesday she sold 8 small ice creams, 7 medium ice creams and 4 large ice creams, and she received £58.00 in payment. On Wednesday she sold 25 small ice creams, 5 medium ice creams and 6 large ice creams, and she received £98.00 in payment.

By modelling the problem as a system of three simultaneous linear equations, use matrices to find the cost (in pounds) of each size of ice cream.

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