Mr. Barkley's solutions are wrong!
Determine the error which was made. Please be specific!
In what step was the error?
What was done incorrectly?
What should have been done instead?
Solve the problem correctly.
1. The problem: 14 = 4x – 2 (x – 5)
Mr. Barkley's solution:
14 = 4x – 2 (x – 5)
14 = 4x – 2x – 10
14 = 2x – 10
24 = 2x
12 = x
Solution: x = 12
2. Problem 2: 7 – 3a < 34
Mr. Barkley's solution:
7 – 3a < 34
- 3a < 27
Solution: a <-9
3. Problem 3:
Thelma has $178 in gift cards at the local hardware store. She plans to use them to buy a new set of wrenches and some welding rods. The wrench set costs $80. The welding rods are $10 per packet. What is the most number of packets of welding rods she will be able to buy?
Mr. Barkley's solution:
Let w = number of packets of welding rods.
100 + 10w < 178
10w < 78
w < 7.8
7.8 rounds to 8.
Solution: Thelma can buy at most 8 packets of welding rods.
Thank You So Much For Your Help!
bruh that is just mr barkleys solution
This where Barkley went wrong:
14 = 4x – 2 (x – 5)
14 = 4x – 2x – 10
it should be
14 = 4x - 2x + 10
14 = 2x + 10
4 = 2x
2 = x
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it might snoww im so exciteddddd :D
btw sorry for not posting in a long time im back
Error in Problem 1:
The error was made in the step where Mr. Barkley simplified the equation 14 = 2x - 10 to 24 = 2x. This is incorrect.
What should have been done instead:
The correct simplification would be 14 + 10 = 2x, which gives 24 = 2x.
Solving the problem correctly:
To solve the problem correctly, we solve the equation 24 = 2x for x:
Divide both sides of the equation by 2:
24/2 = 2x/2
12 = x
Solution: The correct solution is x = 12.
Error in Problem 2:
The error was made in the step where Mr. Barkley simplified -3a < 27 to a < -9. This is incorrect.
What should have been done instead:
When dividing both sides of an inequality by a negative number, the direction of the inequality sign needs to be flipped. In this case, -3a < 27 should be divided by -3, resulting in a > -9.
Solving the problem correctly:
To solve the problem correctly, we solve the inequality a > -9.
Solution: The correct solution is a > -9.
No error in Problem 3:
In this problem, Mr. Barkley has solved it correctly. He correctly simplified the inequality and found the maximum number of packets of welding rods that Thelma can buy.
Solution: Thelma can buy at most 8 packets of welding rods.
Mr. Barkley's solution:
14 = 4x – 2 (x – 5)
14 = 4x – 2x – 10
HUH ? 14 = -2x + 10 !!!! Hey, you do them
14 = 2x – 10
24 = 2x
12 = x
Solution: x = 12