In a garden, there are 6 daisy plants in the first year. Each year, a gardener adds 3 new daisy plants. He has 26 jasmine plants in the first year and loses 2 each year. After how many years will the number of daisy plants equal the number of jasmine plants?

Question

Accepted Answer

Let x be the number of years after the first year when the number of daisy plants equals the number of jasmine plants.

Number of daisy plants after x years = initial + (increase per year) * x = 6 + 3x
Number of jasmine plants after x years = initial - (decrease per year) * x = 26 - 2x

Set them equal:
6 + 3x = 26 - 2x
3x + 2x = 26 - 6
5x = 20
x = 4

Therefore, after 4 years, the number of daisy plants will equal the number of jasmine plants.

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