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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