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inversely proportional word problem 2

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problem:


6 caterpillars need 20 days to cut a canal.

How many caterpillars are needed to cut the canal within 15 days 

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answer:


1. step: proportion

* 20 days  – 6 caterpillars

: 15 days  –  x caterpillars

 

2. step: which proportion?

 ↓ less days  ↑more caterpillars  = inverse proportion

 

3. step: formula

x = 6 * 20
        15 

x = 8 caterpillars         

 

4. step: answer

8 caterpillars are needed.