Question
26. Reasoning Lorelei filled her 5 -gallon jug with water. How many times could she fill her 2 -quart canteen with water from the jug? Explain.
Ask by Kirk Mann.
Mar 26,2025 21:30
UpStudy AI Solution
Tutor-Verified Answer
Answer
Lorelei can fill her 2-quart canteen 10 times from the 5-gallon jug.
Solution
1. Convert the 5-gallon jug to quarts. Since \(1\) gallon \(= 4\) quarts, the jug contains:
\[
5 \times 4 = 20 \quad \text{quarts}
\]
2. Determine how many \(2\)-quart canteens can be filled from 20 quarts by dividing the total quarts by 2:
\[
\frac{20}{2} = 10
\]
Therefore, Lorelei could fill her \(2\)-quart canteen \(\boxed{10}\) times from the \(5\)-gallon jug.
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Simplify this solution Extra Insights
To determine how many times Lorelei can fill her 2-quart canteen using her 5-gallon jug, let's convert the gallons to quarts. Since 1 gallon equals 4 quarts, a 5-gallon jug holds 20 quarts (5 gallons x 4 quarts/gallon). Now, if each refill of her canteen takes up 2 quarts, she can fill it 10 times (20 quarts ÷ 2 quarts/canteen = 10).
So, Lorelei can fill her canteen a whopping 10 times from her 5-gallon jug! What a great way to stay hydrated!
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