Answer:
There are 3 red roses in Amy's garden.
Explanation:
Given:
There are 4 times as many pink roses as red roses in Amy's garden.
There are 9 more pink roses than red roses.
Now, to find the red roses in Amy's garden.
Let the number of red roses be
.
So, the number of pink roses =
![4x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wgkrrafz1aaeqkxo32kxf8pv1qfrgk7w83.png)
As given, there are 9 more pink roses than red roses.
According to question:
![4x=x+9](https://img.qammunity.org/2021/formulas/mathematics/high-school/zkgwpo45ah7x9g2dhw3gvp4us68prb6fik.png)
Subtracting both sides by
we get:
![3x=9](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6gy87hrqjnsvip7f4o9vtjshifirk6mffv.png)
Dividing both sides by 3 we get:
![x=3.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7u08v9ds1zk9e0vazsc8ixzg7gowx5gopv.png)
Therefore, there are 3 red roses in Amy's garden.