Question
Class A was given a sunflower with a height of 10 centimeters that grows at a rate of 3.5 cm per week. Class B was given a sunflower with height of 15 centimeters that grows at a rate of 3.25 cm per week After how many weeks are the sunflowers the same height?
Hint:
○ Form the equation according to given information..
○ Take variable values as x or any alphabet.
○ Solve the equation to get value of x.
The correct answer is: ⇒ x = 20
○ Given:
Class A:
Initial height of sunflower = 10 cm
Rate of growth = 3.5 cm per week
Class B:
Initial height of sunflower = 15 cm
Rate of growth = 3.25 cm per week
○ Step 1:
○ Let us consider after x weeks height will be same.
First consider case of sunflower of class A
Height after x weeks will be
(10 + 3.5x )
Now consider case of sunflower of class B
Height after x weeks will be
(15 + 3.25x )
○ Step 2:
○ Equate height of sunflowers.
(10 + 3.5x ) = ( 15 + 3.25x )
(3.5x - 3.25x ) = ( 15 - 10 )
0.25x = 5
(0.25x ) = ( 15 - 10 )
x = 
x = 20
- Final Answer:
Hence, after x weeks height of both sunflower will be same.
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