Question

Kim is making a bouquet for her friend. she used x tulips and some daffodils in the bouquet. the number of daffodils is equal to the square root of the number of tulips. if the total number of flowers in the bouquet is 20, find the number of tulips.

Answer 1

There are 16 tulips because the square root of 16 is 4, which means there will be 4 daffodils and 16+4=20. So the answer is 16 tulips.

Answer 2

The number of tulips is 16.

Explanation:

Here, x represents the number of tulips,

Since, the number of daffodils is equal to the square root of the number of tulips,

⇒ The number of daffodils = √x,

Thus, the total flowers = x + √x,

According to the question,

`x + √(x) = 20`,

`\implies √(x) = 20 - x`

By squaring both sides,

`x = (20-x)^2`

`x = 400 + x^2 - 40x`

`x^2-41x+400=0`

`x^2-25x-16x+400=0`

`x(x-25)-16(x-25)=0`

`\implies (x-16)(x-25)=0`

⇒ x = 16 or x = 25,

But, if the number of tulip is 25,

Then the total number of flowers > 20 ( Not possible )

Thus, the number of tulips is 16.