Linear graph question

lem0n84

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Feb 24, 2022
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Q: Two candles are different lengths and thicknesses. The shorter one burns for 8 hours, and the longer one for only 5 hours. After 3 hours the candles are the same length. If the shorter candle was 10cm long at the start, how long was the longer candle?

This is a linear graph question.

Working so far:
-Linear equation for shorter candle: y= -10x/8 + 10
-I am aware the two candles intersect at 3 hours, and by substituting x=3 on y=-10x/8+10, I have figured out the length of both candles were 6.25cm tall at 3 hours.

But I cannot figure out how to find out the length of the longer candle at the start...
 
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