Answer:
There are 25 red flowers in the garden.
Explanation:
In this problem we have a common issue where the number is repeated 3 times in questions. So I'll sove it using the ratio 5 reds to 10 yellows and the data that there are 75 yellows and red flowers in the garden.
Since we know that for every 5 red flowers in a garden there are 10 yellow ones, then the ratio of yellow flowers to red flowers is
ratio = red/yellow = 5/10 = 1/2
yellow = 2*red
Since there are 75 yellow and red flowers in the garden we have:
yellow + red = 75
2*red + red = 75
3*red = 75
red = 75/3 = 25
There are 25 red flowers in the garden.