Question

A bottle contains `1 2/5` liters of orange squash. To make one drink, `1/200` liter of squash is needed. How many drinks can be made from the bottle of squash?

Answer 1

See a solution process below:

Explanation:

First, we need to convert the mixed number in the problem to an improper fraction:

`1 2/5 = 1 + 2/5 = (5/5 xx 1) + 2/5 = 5/5 + 2/5 = (5 + 2)/5 = 7/5`

To find out how many drinks can be made we can divide the amount of orange squash need by the total amount of orange squash in a bottle, or:

`7/5 -: 1/200 => (7/5)/(1/200)`

We can use this rule for dividing fractions to evaluate this expression:

`(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))`

`(color(red)(7)/color(blue)(5))/(color(green)(1)/color(purple)(200)) =>`

`(color(red)(7) xx color(purple)(200))/(color(blue)(5) xx color(green)(1)) =>`

`(color(red)(7) xx cancel(color(purple)(200))40)/(cancel(color(blue)(5)) xx color(green)(1)) =>`

`280`

280 drinks can be made from the `1 2/5` liter bottle.

Answer 2

`280` drinks

Explanation:

Bottle of squash contains`1 2/5` of squash

one drink `=1/200`

`(7/5)/(1/200)=7/cancel5^1xxcancel200^40/1=280`drinks