Allison went back to school shopping with her three children. The first child needed three notebooks, four pencils, and two pens for a total of $5.45. The second child needed 5 notebooks, two pencils, and three pens totaling $7.80. Her last child needed two notebooks, five pencils, and for pens for a total cost of $5.15. Find the cost of each item.

Question

Mathematics

Nathen Nunez

5 October, 09:14

Allison went back to school shopping with her three children. The first child needed three notebooks, four pencils, and two pens for a total of $5.45. The second child needed 5 notebooks, two pencils, and three pens totaling $7.80. Her last child needed two notebooks, five pencils, and for pens for a total cost of $5.15. Find the cost of each item.

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Answers (1)

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Charlize Gross · Answer 1

Write an equation system where x=cost of notebook, y=cost of pencil, z=cost of pen.

3x+4y+2z=5.45

5x+2y+3z=7.80

2x+5y+4z=7.15

Solve this system and you get x = $1.25 per each notebook, y = $0.25 per each pencil, z = $0.35 per each pen