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Dean is painting a fence. If 3/4 gallon of paint can cover 1/8 of the fence,how many gallons will he need to paint the whole fence?

Respuesta :

Answer:

He will need 6 gallons to paint the whole fence

Step-by-step explanation:

To know the number of gallons that will be needed to paint the whole fences, we will follow the step below;

let x be the number of gallons that he will need to paint the whole fence

We can use proportion to solve the problem

3/4 gallon =    1/8  fence

 x gallon    = 1  fence

cross-multiply

3/4  ×  1  =   1/8   ×    x

         [tex]\frac{3}{4}[/tex]     =  [tex]\frac{X}{8}[/tex]

CROSS-MULTIPLY

4 × x = 3 × 8

4x  =  24

divide both-side of the equation by 4

4x/4  =  24/4

x =6

Therefore,he will need 6 gallons to paint the whole fence