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QUESTION

# Harry had \$32. He spent all the money on buying 3 notebooks for \$x each and 4 packs of index cards for \$y each. If Harry had bought 5 notebooks and 5 packs of index cards, he would have run short of \$

Harry had \$32. He spent all the money on buying 3 notebooks for \$x each and 4 packs of index cards for \$y each. If Harry had bought 5 notebooks and 5 packs of index cards, he would have run short of \$18. A student concluded that the price of each notebook is \$5 and the price of each pack of index cards is \$1. Which statement best justifies whether the student's conclusion is correct or incorrect? The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2). The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (8, 2). The student's conclusion is correct because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (5, 1). The student's conclusion is correct because the solution to the system of equations 3x − 4y = 32 and 5x − 5y = 50 is (5, 1).