In Sakura's garden, for every 5 red flowers, there are 10yellow flowers. There are a total of 75 yellow and red flowers in her garden

Question

How many red flowers are in Sakura's garden?

Answer 1

Hi Jake,

You can solve this problem using equivalent ratios. Specifically, you would use part to whole ratios.

Let's use the variable x to represent the number of red flowers in the garden.

The ratio of 5 red to 10 yellow flowers indicates that there would be 15 total flowers in the sample.

Then ratio of red to total would be:

5 red

15 total

We can write the following ratio for the entire garden and set it equal to the one for the sample:

5 red = x

15 total 75 total

Multiply the numerator and denominator by 5 to solve for x:

5 red • 5 = x

15 total • 5 75 total

x = 25

There would be 25 red flowers in the garden.