14. A nursery owner has 288 rose bushes. There are 36 fewer red roses than pink roses. How many of each type of roses are there?

Answer 1

Let's call the number of pink roses "P" and the number of red roses "R".

We know that there are 288 roses in total, so:

P + R = 288

We also know that there are 36 fewer red roses than pink roses, so:

R = P - 36

Now we can substitute the second equation into the first equation:

P + (P - 36) = 288

Simplifying this, we get:

2P - 36 = 288

Adding 36 to both sides:

2P = 324

Dividing by 2:

P = 162

So there are 162 pink roses.

To find the number of red roses, we can use the second equation we came up with:

R = P - 36 = 162 - 36 = 126

So there are 126 red roses.

Therefore, there are 162 pink roses and 126 red roses in the nursery.