Question

A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio

Answer 1

7⅓ cups of water

Explanation:

Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)

To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:

¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water

¾ : 5½ = 1 : x

`((3)/(4))/(5(1)/(2)). = (1)/(x)`

`((3)/(4))/((11)/(2)) = (1)/(x)`

`(3)/(4)*{(2)/(11) = (1)/(x)`

`(3)/(2)*{(1)/(11) = (1)/(x)`

`(3*1)/(2*11) = (1)/(x)`

`(3)/(22) = (1)/(x)`

Cross multiply

`3x = 22`

Divide both sides by 3

`(3x)/(3) = (22)/(3)`

`x = 7(1)/(3)`

Number of cups of water to add to 1 cup if salt is 7⅓ cups.