Question

Can you please help me with this step problem it has a b c step problem

Answer 1

Given:

Paint a family shed

length of one wall = 7 1/2 ft

width of one wall = 2 4/5 ft

Find:

a. total area of the shed to be painted

b. gallons of paint needed

c. cost to paint the wall and how much change they receive if they pay $50

Solution:

a. In order to get the total area of the shed, simply multiply the length by the width of the wall.

`7(1)/(2)ft*2(4)/(5)ft=?`

Convert the mixed number to an improper fraction first.

`(15)/(2)ft*(14)/(5)ft=?`

Then, multiply the two numerators to each other as well as the denominator.

`(15*14)/(2*5)=(210)/(10)=21ft^2`

Therefore, the total area of the shed to be painted is 21 square feet.

b. Since one gallon of paint covers 11 square feet, let's divide the total area of the shed to be painted by 11.

`(21ft^2)/(11ft^2)`

Convert the improper fraction to a mixed number. Divide 21 by 11 and make the remainder the numerator of the fraction.

`(21ft^2)/(11ft^2)=1(10)/(11)`

Therefore, they need 1 and 10/11 gallons of paint.

c. As mentioned in B, they need 1 10/11 gallons or approximately 2 gallons. Since one gallon of paint cost $15.25, then two gallons of paint would cost $30.50.

`15.25*2gal=30.50`

The total cost to paint the shed is $30.50.

If they pay $50, the change will be $19.50.

`50-30.50=19.50`