Sure, let's solve this step-by-step using the Distributive Property.
1. Identify the number of each type of fish in one aquarium:
- Each aquarium has 10 clown fish.
- Each aquarium has 6 puffer fish.
2. Determine the total number of fish in one aquarium:
- Add the number of clown fish and puffer fish in one aquarium:
[tex]\[
10\, \text{clown fish} + 6\, \text{puffer fish} = 16\, \text{fish per aquarium}
\][/tex]
3. Calculate the total number of fish in all the aquariums using the Distributive Property:
- There are 7 aquariums.
- To find the total number of fish, multiply the total number of fish per aquarium by the number of aquariums:
[tex]\[
7 \times (10 + 6) = 7 \times 16 = 112
\][/tex]
So, using the Distributive Property, the equation can be written as:
[tex]\[
7 \times (10 + 6) = (7 \times 10) + (7 \times 6) = 70 + 42 = 112
\][/tex]
Therefore, the total number of fish in all the aquariums is 112.
