Question
Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish
Answers
GPT-4o mini
To determine whether your fish tank will have enough water for your 30 tropical fish, we first need to calculate the total amount of water required for the fish.
The fish require an average of 2 gallons of water each. Therefore, for 30 fish, the total water needed is:
\[
\text{Total water needed} = \text{Number of fish} \times \text{Water per fish}
\]
\[
\text{Total water needed} = 30 \text{ fish} \times 2 \text{ gallons/fish} = 60 \text{ gallons}
\]
Next, we need to convert the tank's capacity from cups to gallons. There are 16 cups in a gallon, so:
\[
\text{Tank capacity in gallons} = \frac{\text{Tank capacity in cups}}{16 \text{ cups/gallon}}
\]
\[
\text{Tank capacity in gallons} = \frac{976 \text{ cups}}{16 \text{ cups/gallon}} = 61 \text{ gallons}
\]
Now we can compare the tank's capacity to the amount of water needed for the fish:
- Total water needed: 60 gallons
- Tank capacity: 61 gallons
Since 61 gallons is greater than 60 gallons, your fish tank has enough capacity for your 30 tropical fish to flourish. You will have a little extra water, which is a good thing for maintaining the tank's environment.
The fish require an average of 2 gallons of water each. Therefore, for 30 fish, the total water needed is:
\[
\text{Total water needed} = \text{Number of fish} \times \text{Water per fish}
\]
\[
\text{Total water needed} = 30 \text{ fish} \times 2 \text{ gallons/fish} = 60 \text{ gallons}
\]
Next, we need to convert the tank's capacity from cups to gallons. There are 16 cups in a gallon, so:
\[
\text{Tank capacity in gallons} = \frac{\text{Tank capacity in cups}}{16 \text{ cups/gallon}}
\]
\[
\text{Tank capacity in gallons} = \frac{976 \text{ cups}}{16 \text{ cups/gallon}} = 61 \text{ gallons}
\]
Now we can compare the tank's capacity to the amount of water needed for the fish:
- Total water needed: 60 gallons
- Tank capacity: 61 gallons
Since 61 gallons is greater than 60 gallons, your fish tank has enough capacity for your 30 tropical fish to flourish. You will have a little extra water, which is a good thing for maintaining the tank's environment.