○=> Correct answer :
[tex]\boxed{\color{hotpink}\tt18.75\%} [/tex] of the drink is fruit juice
○=> Steps to derive correct answer :
Quantity of water in a drink = 650 ml
Quantity of fruit juice in a drink = 150 ml
Total quantity of both items in the drink :
[tex] =\tt 650 + 150[/tex]
[tex] \color{plum}=\tt 800 \: ml[/tex]
Thus, the total quantity of both items in the drink = 800 ml
Let the percentage of of fruit juice in the drink be x%.
Which means :
[tex] = \tt\frac{x}{100} \times 800 = 150[/tex]
[tex] = \tt \frac{x \times 800}{100} = 150[/tex]
[tex] =\tt \frac{800x}{100} = 150[/tex]
[tex] =\tt 8x = 150[/tex]
[tex] =\tt x = \frac{150}{8} [/tex]
[tex]\hookrightarrow\color{plum} \bold{x = 18.75\%}[/tex]
Then, the percentage of water in the drink :
[tex] = \tt100 - 18.75[/tex]
[tex] \color{plum}= \tt81.25\%[/tex]
Thus, the percentage of water in the drink = 81.25%
○=> Therefore :
▪︎Percentage of fruit juice in the drink = 18.75%
▪︎Percentage of water in the drink = 81.75%
