Question
2. Estimate the solution to this problem: You have \( 7 \frac{1}{2} \) L of punch. Each glass holds about \( \frac{3}{10} \mathrm{~L} \) About how many glasses could you fill?
Ask by Watson Higgins. in Canada
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
You can fill about 25 glasses.
Solution
To find how many glasses you can fill, divide the total amount of punch by the amount each glass holds.
Step 1: Convert mixed number to an improper fraction.
7 ½ L = 15/2 L
Step 2: Set up the division.
Number of glasses = (15/2 L) ÷ (3/10 L)
Step 3: Divide by a fraction (multiply by the reciprocal).
(15/2) × (10/3) = (15 × 10) / (2 × 3) = 150/6 = 25
So, you could fill about 25 glasses.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To estimate how many glasses you can fill, first convert \( 7 \frac{1}{2} \) L into an improper fraction or a decimal. This gives you \( 7.5 \) L. Next, divide \( 7.5 \) L by \( \frac{3}{10} \) L per glass. To make the math easier, think of \( 7.5 \) as \( 75 \) tenths. Now the equation becomes \( 75 \div 3 = 25 \). So, you can fill approximately 25 glasses of punch—cheers to that! Now, keep in mind this is an estimation—sometimes our punches don’t pour perfectly, and there may be a tad left over. If you're being extra careful with the pouring, you might end up with just a bit more or less. Just remember to keep the punch bowl well stocked for your thirsty friends!
