Question

a painter is painting a home. he uses a consistent amount of pain per day. at the beginning of the project he has 225 gallons of paint. after 5 days he has 16.5 gallons in the bucket. write and solve an equation to represent this situation.

Answer 1

The required equation is 5 m + 16.5 gallon = 225 gallon

The paint used each day = m = 41.7 gallon

Hence the amount of paint used each day = m = 41. 7 gallon

Explanation:

Here, the total amount of paint available initially = 235 gallons

The days taken to paint home = 5 days

Let us assume the paint used each day = m gallons

Now, total paint used in 5 days = 5 x ( paint used in 1 day) = 5 x m = 5 m

Also, the paint left after 5 days = 16. 5 gallons

Now, according to the question:

Paint used in 5 days + left over paint = Total paint

⇒ 5 m + 16.5 gallon = 225 gallon

or, 5 m = 225 - 16.5 = 208.5

or, m = 208.5 / 5 = 41. 7

or, m = 41.7 gallon

Hence the amount of paint used each day = m = 41. 7 gallon