Math Problem Statement
containers A and B had an equal amount of water at first. After 25.5 L of water from container A and 44.5 L of water from container B were used, container A had 5 times as much water as container B. how much water was in container b at first
Solution
Let's define the initial amount of water in containers and as liters each. Since both containers had the same initial amount of water, we know:
- Amount of water in container after usage: liters.
- Amount of water in container after usage: liters.
After using some water, container has 5 times as much water as container . This gives us the equation:
Let's solve this equation step-by-step:
- Expand the equation:
- Rearrange to isolate on one side:
- Divide by -4:
Therefore, the initial amount of water in container was 49.25 liters.
Would you like more details or have any questions?
Here are 5 related questions to consider:
- What if the water usage amounts were different for containers A and B?
- How would the problem change if container A had twice the initial amount of water as container B?
- Can you solve similar problems with more than two containers?
- What if we only knew the ratio of the remaining water instead of the actual amounts?
- How would this problem change if water was added instead of removed?
Tip: Always double-check the logic in word problems by translating them into clear equations step-by-step.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Equation: x - 25.5 = 5(x - 44.5)
Theorems
-
Suitable Grade Level
Grades 6-8
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