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8 April, 12:08

Jason had $32. He spent all the money on buying 4 CDs for $x each and 2 magazines for $y each. If Jason had bought 5 CDs and 2 magazines, he would have run short of $4. A student concluded that the price of each CD is $5 and the price of each magazine is $6. 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 4x + 2y = 4 and 5x + 2y = 36 is (9, 4).

The student's conclusion is incorrect because the solution to the system of equations 4x + 2y = 32 and 5x + 2y = 36 is (4, 8).

The student's conclusion is correct because the solution to the system of equations 4x + 2y = 4 and 5x + 2y = 36 is (5, 6).

The student's conclusion is correct because the solution to the system of equations 4x + 2y = 32 and 5x + 2y = 36 is (5, 6).

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Answers (2)
  1. 8 April, 12:33
    0
    For #1, the student us correct. To prove this, you can subsitute. If each magizine was $6, and he bought 2, that would be $12. Then, if he bought 4 CDs for $5, that would be 20 dollars. 20 + 12 + 32.
  2. 8 April, 12:38
    0
    The answer to this question i believe is The student conclusion is correct because the solution to the system of equations 4x+2y=32 and 5x+2y=26 is (5,6)
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