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1 Elena traveled from Istanbul to Ankara, which is 351 kilometers. Then she went from Ankara to Marmaris, which is 527 kilometers. If it is 468 kilometers back to Istanbul, how far did Blena travel in all on her trip? Show your work 2 Elena and her brother ate cookies on their trip. Elena ate \( \frac{2}{4} \) of her cookies and her brother ate \( \frac{3}{3} \) of his. Elena says they ate the same amount because they both have one cookic left. Is she correct? Explain. \( \begin{array}{ll}\text { 3 Which equation is not true? } \\ 1.25=1 \frac{1}{4} & 6.05<6.5 \\ 2 \frac{1}{100}=2.4 & 4 \frac{1}{4}>4 \frac{1}{3}\end{array} \)

Ask by Griffiths Parsons. in the United States
Feb 25,2025

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Answer

Elena traveled a total of 1,346 kilometers on her trip. She and her brother did not eat the same amount of cookies; her brother ate more.

Solution

To find the total distance Elena traveled on her trip, we need to add the distances she traveled from Istanbul to Ankara, from Ankara to Marmaris, and from Marmaris back to Istanbul. Given: - Distance from Istanbul to Ankara = 351 kilometers - Distance from Ankara to Marmaris = 527 kilometers - Distance from Marmaris back to Istanbul = 468 kilometers Total distance traveled by Elena = Distance from Istanbul to Ankara + Distance from Ankara to Marmaris + Distance from Marmaris back to Istanbul Total distance traveled by Elena = 351 + 527 + 468 Now, let's calculate the total distance traveled by Elena. Calculate the value by following steps: - step0: Calculate: \(351+527+468\) - step1: Add the numbers: \(1346\) The total distance Elena traveled on her trip is 1346 kilometers. Now, let's move on to the second part of the problem regarding Elena and her brother eating cookies. Elena ate \( \frac{2}{4} \) of her cookies and her brother ate \( \frac{3}{3} \) of his cookies. Elena claims that they ate the same amount because they both have one cookie left. Let's analyze this situation. Calculate the value by following steps: - step0: Calculate: \(\frac{2}{4}\) - step1: Reduce the fraction: \(\frac{1}{2}\) Elena ate \( \frac{1}{2} \) of her cookies. Now, let's calculate how many cookies Elena's brother ate. Calculate the value by following steps: - step0: Calculate: \(\frac{3}{3}\) - step1: Divide the terms: \(1\) Elena's brother ate 1 cookie. Since Elena ate \( \frac{1}{2} \) of her cookies and her brother ate 1 cookie, they did not eat the same amount of cookies. Elena's brother ate more cookies than Elena. Therefore, Elena is incorrect in saying that they ate the same amount of cookies.

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To find the total distance Elena traveled, simply add the three segments of her journey: Istanbul to Ankara (351 km), Ankara to Marmaris (527 km), and then back to Istanbul (468 km). So, the total distance is \( 351 + 527 + 468 = 1346 \) kilometers. Elena’s entire trip amounted to a whopping 1346 kilometers! Now, let’s talk about those cookies! If Elena ate \( \frac{2}{4} \) of her cookies, she consumed 1 out of the 2 cookies she had (since she originally had 2). Her brother ate \( \frac{3}{3} \) of his cookies, which means he devoured all of his cookies. Therefore, Elena ate 1 cookie, while her brother ate all of his cookies—no, she isn’t correct; they did not eat the same amount!

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