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On a hypothetical scale X the ice point is 40 deg and the steam point is 120 deg. On another scale Y the ice and steam points are -30 deg and 130 deg respectively. If the X-scale reads 50 deg, what does the Y-scale read?

1. -5 deg
2. -8 deg
3. -10 deg
4. -12 deg

Correct answer: -10 deg

Solution

Matching the fraction of the interval: (50 - 40)/80 = (Y + 30)/160 gives Y = -10 deg.

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