In a garden, there are 6 daisy plants the first year. Each year, a gardener adds 3 new daisy plants. He has 26 jasmine plants the first year and loses 2 each year. When will the number of daisy plants equal to the number of jasmine plants after the first year?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4 years.
Let the number of daisy plants will be equal to the number of jasmine plants after n years.
According to the given question,
Given that, number of daisy plants at present = 6
He adds 3 new plants every year, number of daisy plants after n years = 6 + 3n
Also, given that, number of jasmine plants = 26
He loses 2 plants every year, number of jasmine plants after n years = 26 - 2n
Now, number of daisy plants after n years = number of jasmine plants after n years
⇒ 6 + 3n = 26 - 2n
⇒ 5n = 20
⇒ n = 4
Hence the number of daisy plants equal to the number of jasmine plants after 4 years.