Teacher needs maths assistance please

In summary, the speaker is a university English teacher in China who wants to adjust exam marks for their students. They want the marks to range from 60 to 100 while maintaining the proportional relationship between the marks. They ask for help in doing this, and a possible solution is to use the formula ##new = \dfrac{1}{2}\cdot \, old +50## or to find the solution graphically. The speaker thanks the person for their help and states that the solution is fairly simple.
  • #1
Laser Eyes
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I teach English at a university in China. I don't want any of my students to fail so I need to adjust exam marks. The exam marks range from 20 to 100. I want to adjust them so that the marks will range from 60 to 100, but I want to retain the proportional relationship between the marks. So for example 20 out of 100 will become 60 and 60 out of 100 will become 80. I haven't had to do any maths for many years so can someone please let me know how to do this.
 
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  • #2
Usually we require some effort and an attempt to solve the problem, because we cannot know whether your story is correct or only a nice trick to get homework solved. So my answer now isn't really allowed. However, I think I can make an exception, as the solution isn't really very complicated. You can use ##new = \dfrac{1}{2}\cdot \, old +50##
You can also find this solution graphically.
 
  • #3
Thank you. I knew the answer was fairly simple and I could have proven what I said if necessary.
 

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