Question

Luanne and Fiona each made a salt water solution. Luanne mixed 3 cups of salt with every gallon of water. Fiona mixed 2 cups of salt with every 3 gallons water. Which of these statements is true?

Answer 1

See Explanation

Explanation:

Given

Luanne

`Salt = 3\ cups`

`Gallon = 1`

Fiona

`Salt = 2\ cups`

`Gallon = 3`

The question is incomplete, as the options are not given.

However, possible comparison that can be made are

(a) The unit amount of salt

(b) Whose solution is more concentrated with salt

(a) The unit amount of salt

To do this, we divide the amount of salt by the number of gallons.

`Unit = (Salt)/(Gallon)`

For Luanne

`Unit = (3)/(1)`

`Unit = 3 cups/gallon`

For Fiona

`Unit = (2)/(3)`

`Unit = 0.67cups/gallon`

(b) Whose solution is more concentrated with salt

By comparing the result in (a)

We have:

`Unit = 3 cups/gallon` --- Luanne

`Unit = 0.67cups/gallon` --- Fiona

Luanne unit amount implies that there are 3 cups in every gallon of water;

Fiona unit amount implies that there are 0.67 cups in every gallon of water;

`3 >0.67`

Hence, Luanne solution is more concentrated with salt