Question
3. The cafeteria is making 20 batches of chocolate \( c \) cookies for the 6th grade. If each batch requires \( 2 \frac{1}{2} \) cups of chocolate chips, how many total cups of chocol chips will they need?
Ask by Bartlett Murphy. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
They will need a total of 50 cups of chocolate chips.
Solution
To find the total number of cups of chocolate chips needed, we need to multiply the number of batches by the amount of chocolate chips required per batch.
Given:
- Number of batches = 20
- Amount of chocolate chips per batch = \( 2 \frac{1}{2} \) cups
First, let's convert the mixed number \( 2 \frac{1}{2} \) to an improper fraction:
\[ 2 \frac{1}{2} = \frac{5}{2} \]
Now, we can calculate the total number of cups of chocolate chips needed:
\[ \text{Total cups of chocolate chips} = 20 \times \frac{5}{2} \]
Let's calculate this.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{20\times 5}{2}\)
- step1: Multiply the numbers:
\(\frac{100}{2}\)
- step2: Reduce the fraction:
\(50\)
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To find out how many total cups of chocolate chips are needed, we can start by converting \( 2 \frac{1}{2} \) cups into an improper fraction. That gives us \( \frac{5}{2} \) cups per batch. Now, multiply the cups per batch by the number of batches: \[ 20 \times \frac{5}{2} = 20 \times 2.5 = 50 \] So, they will need a total of 50 cups of chocolate chips. To visualize this, imagine a big 50-cup container filled with chocolate chips just waiting to be transformed into delicious cookies! That's a whole lot of chocolatey goodness to satisfy those 6th graders!