Mathematics: 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

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A water-salt mixture calls for 3/4 cup if salt to - id348465846, milkshakegrande101

isalih7256

06.02.2022

7⅓ cups of water

Step-by-step 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

$\frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x}$

$\frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x}$

$\frac{3}{4}*{\frac{2}{11} = \frac{1}{x}$

$\frac{3}{2}*{\frac{1}{11} = \frac{1}{x}$

$\frac{3*1}{2*11} = \frac{1}{x}$

$\frac{3}{22} = \frac{1}{x}$

Cross multiply

3x = 22

Divide both sides by 3

$\frac{3x}{3} = \frac{22}{3}$

$x = 7\frac{1}{3}$

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

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