Question

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.

Answer 1

(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 2

A)
`(60)/(t)`

B)
`(140)/(t)`

C) 5 liters.

Explanation:

Given,

The number of chairs painted in t hours = 20,

So, the number of chairs will be painted in 1 hour =
`(20)/(t)`,

A)

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

`=3* (20)/(t)`

`=(60)/(t)`,

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

`=7* (20)/(t)`

`=(140)/(t)`,

C) If t = 4 hours,

The number of chairs painted in 1 hour =
`(20)/(4)` = 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 =
`(3)/(12)` =
`(1)/(4)` liters,

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

`=20* (1)/(4)`

= 5 liters.