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## Homework Statement

On a new Jekyll temperature scale, water freezes at 17 degree(s) J and boils at 97 degree(s) J. On another new temperature scale, the Hyde scale, water freezes at 0 degree(s) oH and boils at 120 degree(s) oH. If methyl alcohol boils at 84 oH, what is its boiling point on the Jekyll scale?

## Homework Equations

Jekyll has a FP 17 degrees higher than the Hyde scale.

## The Attempt at a Solution

Alright. Freezing point on Jekyll is 17 degrees higher than it is on Hyde.

Therefore, any formula relating J and H must have the general form of:

J(H) = H + 17, where H = 0.

The general formula is:

J(H) = H[(97-17)/120] + 17

Checking my work:

H = 0, J = 17. Correct.

H = 120. J = 97. Correct.

What are some good ways of tackling this problem? Why does subtracting two points on the Jekyll scale divided by subtracting the two points on the Hyde scale multiplied by H work?