In a garden, there are 6 daisy plants the first year. Each year, a gardener adds 3 new daisy plants the first year and loses 2 each year. He has 26 jasmine plants the first year and loses 2 each year. When will the number of daisy plants equal the number of jasmine plants after the first year?
4 years
Let the number of daisy plants after x years be represented by 6 + 3x - 2(x-1) = 6 + 3x - 2x + 2 = 4 + x.
Let the number of jasmine plants after x years be 26 - 2x.
We need to solve for x when the number of daisy plants equals the number of jasmine plants:
4 + x = 26 - 2x
3x = 22
x = 4 years.
Thus, the correct answer is option 2: 4 years.
Important Questions from Arithmetic Progression
What is the arithmetic mean of first 8 multiples of 13?
The average of five consecutive odd natural numbers is 27. The product of the first and fifth number is:
Find the sum of all the numbers between 100 to 200 which are divisible by 12.
The first and last terms of an A.P. are 18 and 48. If the sum of its terms is 396, then the number of terms will be?
If 23rd and 24th terms of an A.P. be 42 and 312 respectively, then its 37th term is:
