Answer:
200 flowers
Explanation:
In order to find the total number of flowers in the garden, we first need to determine the number of roses and then add that to the number of sunflowers.
Given that 40% of the flowers are roses, we can calculate the number of roses as follows:


Now, we know there are 120 sunflowers in the garden. To find the total number of flowers, we add the number of roses and the number of sunflowers:
Total Number of Flowers = Number of Roses + Number of Sunflowers
Total Number of Flowers = 0.4 Total Number of Flowers + 120
Let's solve for the total number of flowers:
First, subtract 0.4 Total Number of Flowers from both sides of the equation:
Total Number of Flowers - 0.4 Total Number of Flowers = 120
Now, combine the terms on the left side:
(1-0.4) × Total Number of Flowers = 120
Simplify the left side:
0.6 Total Number of Flowers = 120
Now, divide both sides by 0.6 to isolate the Total Number of Flowers:

Now, simplify the right side:
Total Number of Flowers = 200
So, there are a total of 200 flowers in the garden.