Question 67291
The original grades have a range of 80-40=40
The converted range is 90-60=30
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to convert the range of 40 to one of 30
mltiply  as follows:  (30/40)(40)=3/4(40)=0.75(40)=30
So the conversion factor is 0.75
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But the least score must be 60 
So the equation is new score= (0.75)(old score) + 60
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To convert a score of 45 proceed as follows:
new score = 0.75(45) + 60
new score = 33.75 + 60 = 93.75
Rounded the new score = 94
Cheers,
Stan H.