Final answer:
By setting up a proportion using the information that 15% of the garden's flowers are roses and there are 120 roses, we can find that there are 800 flowers in total in the garden.
Step-by-step explanation:
To find the total number of flowers in the garden, we use the information that 15 percent of the flowers are roses and we have 120 roses. This means that the 120 roses represent 15% of the total number of flowers. To calculate the total, we set up a simple proportion where 15% (or 0.15 when converted to a decimal) multiplied by the total number of flowers equals 120:
0.15 × Total number of flowers = 120
To find the total number of flowers, we divide both sides of the equation by 0.15:
Total number of flowers = 120 / 0.15
Total number of flowers = 800
So, there are 800 flowers in all in the garden.