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Mr. Lee can paint 20 chairs in t hours. He uses 3 liters of paint for every 12 chairs that he painted.
A.) Find in terms of t, the number of chairs that he can paint in 3 hours
B.) Find, in terms of t, the time take by Mr. Lee to paint seven chairs
C.) If t= 4, find the amount of paint Mr. Lee has used after painting for 4 hours.

Respuesta :

Brianoki
(A) because 20 chairs in 3 hours is 60 chairs total. Then all you do is have to get 5*3 to get how many liters he used for all 60 chairs

Answer:

A) [tex]\frac{60}{t}[/tex]

B) [tex]\frac{140}{t}[/tex]

C) 5 liters.

Step-by-step explanation:

Given,

The number of chairs painted in t hours = 20,

So, the number of chairs will be painted in 1 hour = [tex]\frac{20}{t}[/tex],

A)

The number of chairs will be painted in 3 hours = 3 × chairs painted in 1 hour

[tex]=3\times \frac{20}{t}[/tex]

[tex]=\frac{60}{t}[/tex],

B) The number of chairs will be painted in 7 hours = 7 × chairs painted in 1 hour

[tex]=7\times \frac{20}{t}[/tex]

[tex]=\frac{140}{t}[/tex],

C) If t = 4 hours,

The number of chairs painted in 1 hour = [tex]\frac{20}{4}[/tex] = 5,

So, the number of chairs will be painted in 4 hours = 4 × chairs painted in 1 hour

= 20,

Now, paint required for 12 chairs = 3 liters,

So, the paint required for 1 chair = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex] liters,

Hence, the paint required for 20 chairs = 20 × paint required for 1 chair

[tex]=20\times \frac{1}{4}[/tex]

= 5 liters.

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