Question

Julian wants his tanks to hold 30 gallons of water. The content of saltwater should be 3.5% salt and 96.5% purified water. Set up a proportion to first find the number of gallons of salt mix that should be added. Then use another proportion to find the number of PINTS of aquarium salt mix that Julian should use for 30 gallons of purified water. Round your answer to the nearest tenth. Note there are 8 pints in one gallon. Approximately how many pints of aquarium salt mix should Julian use for 30 gallons of purified water?​

Answer 1

Julian should use approximately 1.05 gallons or 8.4 pints of salt mix for his 30 gallons of purified water, after setting up the appropriate proportions and performing the calculations.

Step-by-step explanation:

To determine the amount of salt mix needed for Julian's tanks that hold 30 gallons of water with a saltwater content of 3.5% salt, a proportion can be set up. First, we calculate the number of gallons of salt needed:

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• The total mix is 100%, and the desired percentage of salt is 3.5%.
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• So, 3.5% of 30 gallons is required. This gives us the equation: 0.035 * 30 gallons = 1.05 gallons of salt.

To find the number of pints of aquarium salt mix Julian should use, we use the conversion that there are 8 pints in a gallon:

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• 1.05 gallons of salt mix * 8 pints/gallon = 8.4 pints.

Julian should use approximately 8.4 pints of aquarium salt mix for his 30 gallons of purified water, rounding to the nearest tenth.

Answer 2

Step-by-step explanation:

The 3.5% saltwater means that for every 100 gallons of saltwater, there are 3.5 gallons of salt and 96.5 gallons of purified water. Therefore, to find the number of gallons of salt mix that Julian should add to 30 gallons of purified water, we can set up the following proportion:

3.5 gallons of salt / 100 gallons of saltwater = x gallons of salt / 30 gallons of purified water

Simplifying this proportion, we get:

x = (3.5 gallons / 100 gallons) * 30 gallons / 96.5 gallons

x = 0.01078 gallons of salt mix

To find the number of pints of aquarium salt mix that Julian should use, we can set up another proportion:

1 gallon of salt mix / 8 pints of salt mix = 0.01078 gallons of salt mix / y pints of salt mix

Simplifying this proportion, we get:

y = (0.01078 gallons of salt mix / 1 gallon of salt mix) * (8 pints of salt mix / 1 gallon of salt mix)

y = 0.0862 pints of aquarium salt mix

Rounding to the nearest tenth, Julian should use approximately 0.1 pints of aquarium salt mix for 30 gallons of purified water.