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Anne, Betty and Carol went to their local produce store to buy some fruit. Anne bought one pound of apples and two pounds of bananas and paid $2.11. Betty bought two pounds of apples and one pound of grapes and paid $4.06. Carol bought one pound of bananas and two pounds of grapes and paid $4.45.
(a) Let x = price of a pound of apples, y = price of a pound of bananas and z = price of a pound of grapes. Write out 3 linear equations representing the purchases of Anne, Betty and Carol.
(b) Write out the augmented matrix for your system of 3 linear equations of part (a).
(c) Use elementary row operations to row reduce the augmented matrix of part (b) to a reduced row-echelon matrix.
(d) What is the price per pound for each of the three fruits?
Ashley's car insurance costs her $115 per month. How much does it cost her per year? Multiply $115 by 12 because there are 12 months in a year; $115 × $12 = $1,380 per year.
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