The Sparkling House Cleaning Company has cleaned 28 houses this week. If this number repesents 40% of the total number of houses the company is contracted to clean, how many total houses will the company clean by the end of the week?

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Answer 1 · 2017-05-16T10:35:30

#42# houses left, so #70# will be cleaned in total

If the company completed #28# houses so far (this is #40%# of the total number of houses), then they have to clean #70# houses within one week.

It means #x=100*28/40#

where, #x# is the total houses must be cleaned per week.

Then you can get #x=70#.

It means they have to clean #70-28=42# more houses by the end of week.

Your answer is #70# houses.

Answer 2 · 2017-05-16T20:31:49

#70# houses in total for the week.

This can be answered by using direct proportion.
Any percent question can be done this way.

We know that #28# houses represent #40%#

We want to know the total number of houses - the #100%#

Write them as a proportion:

#x/100 = 28/40" "(larr"houses")/(larr "percent")#

#x = (28xx100)/40#

#x =70# houses

You could also write the proportion like this:

#"percents "40/100 = 28/x" houses"# which gives the same result:

#x=70# houses