Carole's Work Schedule Calculating Days At Restaurant
Hey guys! Let's break down this math problem about Carole's work schedule. It's all about figuring out how many days she spent at the restaurant, given her work at the bookstore and her days off. We'll go through it step by step so it's super clear.
Understanding Carole's Work Days
So, Carole's work days are spread across a 28-day period, and she juggles two jobs: one at a bookstore and another at a restaurant. To figure out how many days she dedicated to the restaurant, we first need to understand how many days she worked at the bookstore and how many days she didn't work at all. This is a classic problem that combines fractions and basic arithmetic, and it's a great way to sharpen your problem-solving skills. The key here is to break down the problem into smaller, manageable parts. We'll start by calculating the days Carole spent at the bookstore, then the days she didn't work, and finally, we'll subtract these from the total to find the days she worked at the restaurant. Remember, math problems like these aren't just about getting the right answer; they're about the process of logical thinking and applying what you know to new situations. So, let's dive in and figure out Carole's busy schedule!
Calculating Bookstore Days
Let's dive into figuring out how many days Carole spent at the bookstore. The problem tells us that Carole worked 1/4 of the 28 days at the bookstore. To find this number, we need to calculate one-fourth of 28. This is a straightforward calculation: we simply multiply the fraction (1/4) by the total number of days (28). Mathematically, this looks like (1/4) * 28. When we perform this calculation, we're essentially dividing 28 into four equal parts and taking one of those parts. This is a fundamental concept in fractions, and it's super useful in everyday life, not just in math problems. When you do the math, you'll find that one-fourth of 28 is 7. So, Carole worked 7 days at the bookstore. Now that we've nailed down the bookstore days, we're one step closer to figuring out the restaurant days. This step highlights the importance of carefully reading the problem and identifying the key pieces of information. Once we have these pieces, we can start putting them together to solve the puzzle. Next up, we'll calculate the number of days Carole didn't work, which will give us another piece of the puzzle.
Days Off for Carole
Now, let's figure out how many days Carole had off during this 28-day period. The problem states that Carole did not work on 1/14 of the days. Just like with the bookstore days, we need to calculate a fraction of the total number of days. In this case, we want to find 1/14 of 28. This means we'll multiply the fraction (1/14) by the total days (28). The calculation looks like this: (1/14) * 28. This calculation tells us how many days, out of the 28, Carole didn't have to go to work. When we perform the multiplication, we're essentially dividing 28 into 14 equal parts and taking one of those parts. This is another application of fractions, and it's crucial for understanding proportions and ratios. When you do the math, you'll find that 1/14 of 28 is 2. So, Carole had 2 days off during this 28-day period. Now that we know both the number of days Carole worked at the bookstore and the number of days she didn't work, we're getting closer to finding out how many days she spent at the restaurant. The next step is to use this information to calculate the remaining days, which will give us the answer we're looking for.
Calculating Restaurant Workdays
Okay, we're in the final stretch! We know Carole worked 7 days at the bookstore and had 2 days off. Now we need to find out how many days she worked at the restaurant. The total number of days in the period is 28. To find the restaurant days, we'll subtract the bookstore days and the days off from the total number of days. This is a key step in solving the problem because it uses the information we've already calculated to find the missing piece. So, we'll subtract 7 (bookstore days) and 2 (days off) from 28 (total days). The calculation looks like this: 28 - 7 - 2. This calculation represents the days that Carole spent working at the restaurant. When we perform the subtraction, we first subtract 7 from 28, which gives us 21. Then, we subtract 2 from 21, which gives us 19. So, Carole worked 19 days at the restaurant. This is our final answer! We've successfully broken down the problem, calculated each part, and put it all together to find the solution. Remember, problem-solving in math (and in life!) is all about taking things one step at a time and using what you know to figure out what you don't.
Final Answer
So, after all the calculations, we've found that Carole worked 19 days at the restaurant. That's quite a busy schedule between the bookstore and the restaurant! We successfully used our math skills to solve this problem, breaking it down into smaller, more manageable steps. First, we figured out the days at the bookstore, then the days off, and finally, we subtracted those from the total to find the restaurant days. Remember, guys, this kind of problem-solving approach can be applied to many different situations, not just math problems. The key is to read carefully, identify the important information, and break the problem down into smaller parts. Keep practicing, and you'll become a math whiz in no time! If you have any questions about this problem or any other math topics, feel free to ask. Keep learning and keep exploring!
