A pet store has two types of fish tanks: small and large. A small tank holds 10 gallons of water, and a large tank holds 25 gallons. The store has 16 tanks in total, and they can hold 250 gallons of water combined. How many large tanks does the store have? ______
Answer & Analysis
Analysis
Question Analysis
This problem involves two types of fish tanks with different water capacities, requiring us to find the number of large tanks. It needs forming a system of equations based on the total number of tanks and total water capacity.
Key Concept Explanation
The key concepts include setting up a system of equations, solving the system, and interpreting the solution in the context of the problem.
Step-by-step Solution
1. Define variables: s = small tanks, l = large tanks.
2. Set up equations:
Total tanks: → (substitution).
Total capacity: .
3. Substitute into the second equation:
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