15. Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong andearned an additional 10 points for answering a bonus question correctly. How many points did Nedreceive or lose overall?16 Use the sign >, <, or = in the following: (Show all the steps of your calculations)(i) _______80 + 69 − 319 − 219 − 100 + 70 + 79(ii) __________19 + (− 40) − 37 32 + (− 66) − (− 39)
Question
- Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong andearned an additional 10 points for answering a bonus question correctly. How many points did Nedreceive or lose overall?16 Use the sign >, <, or = in the following: (Show all the steps of your calculations)(i) _______80 + 69 − 319 − 219 − 100 + 70 + 79(ii) __________19 + (− 40) − 37 32 + (− 66) − (− 39)
Solution
- To solve this problem, we need to calculate the total points Ned lost and earned.
First, let's calculate the points he lost. He got 6 questions wrong and lost 4 points for each of these questions. So, the total points he lost is 6 * 4 = 24 points.
Next, let's calculate the points he earned. He answered a bonus question correctly and earned 10 points for it. So, the total points he earned is 10 points.
Now, let's calculate the overall points he received or lost. The overall points is the total points he earned minus the total points he lost. So, the overall points is 10 - 24 = -14 points. Therefore, Ned lost 14 points overall.
- (i) To solve this problem, we need to calculate the value of each side of the inequality.
The left side is 80 + 69 - 319 - 219 - 100 + 70 + 79 = -340.
The right side is not given in the problem. So, we can't determine the sign.
(ii) To solve this problem, we need to calculate the value of each side of the inequality.
The left side is 19 + (-40) - 37 = -58.
The right side is 32 + (-66) - (-39) = 5.
So, -58 < 5. Therefore, the sign is <.
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