Let x be the portion of consumers that purchased another type of tea. To find x, you can follow the steps:
Step 1) Organize the data
Tea Pencentual of consumers
Green 5/15
Jasmine 2/15
Helbal 5/15
Other x
Sum 1
Step 2) Knowing that the sum of the percentual has to be equal to 1 (100%), organize the expression.
[tex]\frac{5}{15}+\frac{2}{15}+\frac{5}{15}+x=1[/tex]Step 3) Get the least common multiple.
[tex]\begin{gathered} \frac{5+2+5+15x}{15}=\frac{15}{15} \\ \text{Then,} \\ 5+2+5+15x=15 \end{gathered}[/tex]Step 4) Isolate x.
[tex]\begin{gathered} 12+15x=15 \\ 15x=15-12 \\ 15x=3 \\ x=\frac{3}{15} \end{gathered}[/tex]Answer: 3/15 of consumers purchased another type of tea.