A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. If each gallon costs $22, what is the total cost of the indoor paint in storage?

1 Answer

#35(1-2/5)(22)=35(3/5)(22)=$462#

Explanation:

Let's do this in parts. The first thing we know is that there are 35 gallons of paint in storage and that #2/5# of it is for outdoor use. So that means:

#35xx2/5=14# gallons for outdoor use, which means that

#35-14=21# gallons are for indoor use.

Each gallon is $22. So the value of paint that is for indoor use is:

#21xx22=$462#

If we'd wanted, we could have done this all in one step - we start with the total gallons, multiply by #(1-2/5)# to figure out the number of gallons that are not for outdoor use, then multiply by the cost per gallon, so it looks like this:

#35(1-2/5)(22)=35(3/5)(22)=$462#