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Answer :
To find the amount of water Wandalyn needs for her solution, we need to divide the amount of salt she uses by the ratio of salt to water in the solution. We are given that the ratio of salt to water is 31.2 grams of salt per liter of water, and that Wandalyn uses 37.1 grams of salt. We can write the following equation to represent the amount of water she needs:
Water = (37.1 g of salt) / (31.2 g of salt / 1 L of water)
Solving for the amount of water, we get:
Water = 1.189 L
Therefore, Wandalyn will need 1.189 liters of water to make her saltwater solution. The correct answer is therefore C: 1.189 L.
Water = (37.1 g of salt) / (31.2 g of salt / 1 L of water)
Solving for the amount of water, we get:
Water = 1.189 L
Therefore, Wandalyn will need 1.189 liters of water to make her saltwater solution. The correct answer is therefore C: 1.189 L.
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Final answer:
To find the amount of water Wandalyn needs for her saltwater solution, a simple proportion based on the given ratio of 31.2 grams of salt per liter of water is used. Solving the proportion with 37.1 grams of salt gives the result of 1.189 liters of water (option D).
Explanation:
Wandalyn needs to create a saltwater solution with a specific ratio of mass of salt to volume of water. This is a direct proportionality problem where you use the given ratio to find the amount of water needed for a different amount of salt.
The ratio given is 31.2 grams of salt for every liter of water. To find the volume of water needed for Wandalyn's 37.1 grams of salt, you set up a proportion:
31.2 grams of salt / 1 liter of water = 37.1 grams of salt / x liters of water
Solving for x gives us:
x = (37.1 grams of salt * 1 liter of water) / 31.2 grams of salt
Therefore, x = 1.189 liters of water (option D).
