Translate the problem to a system of equations, then solve using matrices.A croissant, a cup of coffee, and a fruit bowl from Kelley's Coffee Cart cost a total of $5.50, and a croissant costs twice as much as a cup of coffee. Kelley posts a notice announcing that, effective next week, the price of a croissant will go up 15% and the price of coffee will go up 10%. After the increase, the total price of the purchase will be $5.80. Find the cost of each item before the increase.
A. A fruit bowl costs $3.25, a croissant costs $0.83, and a cup of coffee costs $1.73.
B. A fruit bowl costs $3.25, a croissant costs $1.50, and a cup of coffee costs $0.75.
C. A fruit bowl costs $3.25, a croissant costs $1.73, and a cup of coffee costs $0.83.
D. The prices cannot be determined from the given information.
Answer: B
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