Question

A drink is made by mixing 650 ml of water with 150 ml of fruit juice.

What percentage of the drink is fruit juice?

can you please reply quickly?

Answer 1

18.75% is fruit juice

Answer 2

○=> Correct answer :

`\boxed{\color{hotpink}\tt18.75\%}` 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 :

`=\tt 650 + 150`

`\color{plum}=\tt 800 \: ml`

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 :

`= \tt(x)/(100) * 800 = 150`

`= \tt (x * 800)/(100) = 150`

`=\tt (800x)/(100) = 150`

`=\tt 8x = 150`

`=\tt x = (150)/(8)`

`\hookrightarrow\color{plum} \bold{x = 18.75\%}`

Then, the percentage of water in the drink :

`= \tt100 - 18.75`

`\color{plum}= \tt81.25\%`

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%