Solve for Red Flowers: Finding 8/9 of 36 in a Garden Problem

Question

In a garden there are 36 flowers, 19 \frac{1}{9} of which are white, while the rest are red.

How many red flowers are there in the garden?

Video Solution

Step-by-Step Solution

Let's split 36 into two fractions:

One that represents the white flowers

19 \frac{1}{9}

Now let's find the fraction that represents the red flowers:

119=9919=89 1-\frac{1}{9}=\frac{9}{9}-\frac{1}{9}=\frac{8}{9}

Now let's multiply the number of flowers by the fraction that represents the red flowers:

89×36 \frac{8}{9}\times36

Let's multiply the numerator by 36:

8×369 \frac{8\times36}{9}

We'll divide both the numerator and denominator by 9

8×36:99:9= \frac{8\times36:9}{9:9}=

Let's first solve the division problems in the numerator and denominator and we get:

8×41=8×4=32 \frac{8\times4}{1}=8\times4=32

Answer

32 32