At the tea shop,5/15 of the customers purchased green tea,2/15 of the customers purchased jasmine tea, and 5/15 of the customers purchased herbal tea. What portion of the customers purchased another type of tea?

Respuesta :

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.