Answer:
36 flowers
Step-by-step explanation:
Given
[tex]Red = \frac{1}{5}[/tex]
[tex]White = \frac{3}{10}[/tex]
[tex]Yellow = 18[/tex]
Required
Determine the number of flowers
First, we need to determine the fraction of flowers that are yellow;
[tex]R + W + Y = 1[/tex]
[tex]\frac{1}{5} + \frac{3}{10} + Y = 1[/tex]
[tex]\frac{2+ 3}{10} + Y = 1[/tex]
[tex]\frac{5}{10} + Y = 1[/tex]
[tex]Y = 1 - \frac{5}{10}[/tex]
[tex]Y = \frac{10 -5}{10}[/tex]
[tex]Y = \frac{5}{10}[/tex]
[tex]Y = \frac{1}{2}[/tex]
Let the number of flowers by N;
The yellow flowers can be represented as;
[tex]18 = \frac{1}{2} * N[/tex]
Solve for N
[tex]N = \frac{18 * 2}{1}[/tex]
[tex]N = \frac{36}{1}[/tex]
[tex]N = 36[/tex]
