Jim is painting a new shed . If 1/5 of a gallon of paint covers 2/25 of the shed , how many gallons of paint would be needed to paint 4 sheds of that size?
(.2)gal/.08 shed = 2.5 gal /shed
2.5 gal/shed * 4 sheds = 10 gallons
To find out how many gallons of paint would be needed to paint 4 sheds of the given size, we need to determine how much paint is used to paint one shed and then multiply it by 4.
Given that 1/5 of a gallon of paint covers 2/25 of the shed, we can calculate the amount of paint needed to cover the entire shed.
If 2/25 of the shed requires 1/5 of a gallon of paint, we need to find how many times 2/25 goes into the entire shed.
To do this, we can set up a proportion:
(2/25) / (1/5) = x / 1
To solve for x, we can cross multiply:
(2/25) * 1 = x * (1/5)
Simplifying the equation:
2/25 = x/5
To solve for x, multiply both sides of the equation by 5:
(2/25) * 5 = x
2/5 = x
So, it takes 2/5 of a gallon of paint to paint one shed of that size.
To find out how much paint is needed for 4 sheds, multiply the amount needed for one shed by 4:
(2/5) * 4 = 8/5
Therefore, you would need 8/5 or 1.6 gallons of paint to paint 4 sheds of that size.