Jim needs 4 1/2 cups of bleach for every ten gallons of water for cleaning. How many cups of bleach should he use if he is making 5 gallons?    

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The primary question asks us to determine the number of cups of bleach to add to 5 gallons of water if 4.5 cups is required for 10 gallons of water.

One approach to solving a problem like this is to see it as a problem of proportions. We can set up a proportion and solve for the missing amount. The proportion can be written as 4.5:10 = x:5, or as an equality involving ratios:

`4.5/10 = x/5`

Order matters: we are comparing cups of bleach to gallons of water in each...

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