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A certain quantity is measured on two different scales,the R

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A certain quantity is measured on two different scales,the R -scale and the S-scale,that are related linearly.Measurement on the R-scale of 6 and 24 correspond to measurements on the s-scale of
30 and 60 respectively.What measurement on the R-scale corresponds to a measurment of 100 on the s-scale
48
y=ax+b
24=6a+b
60=24a+b
a=2, b=12
y=2x+12
100=2x+12
x=44
So,12 measurement on the R-scale corresponds to a measurment of 100 on the s-scale