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15 questions add 250 if they are correct and subtract 150 if incorrect the final score is 2150 how many were correct?
Wiki User
∙ 14y ago
250(x) - 150(15-x) = 2150
250x - 2250 + 150x
400x - 2250 = 2150
400x = 4400
x = 11
11 were correct
Wiki User
∙ 14y ago
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Caleb and Roberto also solved the equation but they made some errors. Find an incorrect step in each solution and explain why it is incorrect.Caleb12x+3 = 3(5x+9)7x+3=3(9)7x+3=277x=24x=24/7Roberto12x+3=3(5x+9)12x+3=15x+2727x+3=2727x=24x=24/27?
Caleb's solution: 12x + 3 = 3(5x + 9) 7x + 3 = 3(9) (incorrect step) 7x + 3 = 27 (correct next step if previous step were correct) 7x = 24 x = 24/7 Caleb's incorrect step is going from the first line to the second line. The distribution of the 3 on the right-hand side of the equation should result in 15x + 27, not 3(9) which is 27. So the correct next line should be: 12x + 3 = 3(5x + 9) 15x + 27 = 15x + 27 (distribute 3 on the right-hand side) 12x + 3 = 15x + 27 (subtract 15x from both sides) -3x = 24 x = -8 Roberto's solution: 12x + 3 = 3(5x + 9) 12x + 3 = 15x + 27 (incorrect step) 27x + 3 = 27 (correct next step if previous step were correct) 27x = 24 x = 24/27 Roberto's incorrect step is going from the first line to the second line. Adding 3 to both sides of the equation does not result in the distribution of 3 on the right-hand side. The correct next line should be: 12x + 3 = 3(5x + 9) 12x + 3 = 15x + 27 (distribute 3 on the right-hand side) -3x = 24 x = -8/3 or approximately -2.67 Therefore, Caleb's solution has the correct final answer, but an incorrect step, while Roberto's solution has both an incorrect step and an incorrect final answer.
