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Martin put 8 pounds of grapes into a bowl. Four friends each took 23 pound from the bowl. What fraction represents the total amount of grapes removed from the bowl? \( \frac{64}{3} \) pounds \( -\frac{8}{3} \) pounds \( -\frac{16}{3} \) pounds \( \frac{16}{3} \) pounds

Ask by Watson Chambers. in the United States
Nov 19,2024

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Tutor-Verified Answer

Answer

The total amount of grapes removed is 92 pounds, which is equivalent to \( \frac{23}{2} \) pounds. None of the provided options match this fraction.

Solution

To solve this problem, we need to determine the total amount of grapes removed from the bowl by Martin's four friends. First, let's calculate the total amount of grapes taken by the four friends: Each friend took 23 pounds of grapes, so the total amount taken by all four friends is: 4 friends * 23 pounds/friend = 92 pounds Now, we need to find the fraction that represents the total amount of grapes removed from the bowl. Since Martin initially put 8 pounds of grapes into the bowl, and the four friends took out 92 pounds, the total amount of grapes removed is 92 pounds. The fraction representing the total amount of grapes removed from the bowl is: Total amount removed / Initial amount in the bowl = 92 pounds / 8 pounds = 11.5 However, the options provided are all fractions, so we need to express 11.5 as a fraction. To do this, we can write 11.5 as 11 + 0.5, which is the same as 11 + 1/2. To convert this to an improper fraction, we multiply the whole number by the denominator and add the numerator: (11 * 2) + 1 = 22 + 1 = 23 So, 11.5 is equivalent to the fraction \( \frac{23}{2} \). However, none of the provided options match \( \frac{23}{2} \). It's possible that there's a mistake in the options given. If we have to choose from the provided options, none of them correctly represent the total amount of grapes removed from the bowl.

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First, let's calculate the total amount of grapes removed. If four friends each took \( \frac{2}{3} \) pounds of grapes, we can multiply that by 4: \[ Total \,amount \,removed = 4 \times \frac{2}{3} = \frac{8}{3} \,pounds. \] This means that the fraction representing the total amount of grapes removed from the bowl is \( \frac{8}{3} \) pounds. However, based on the options provided, none correctly indicate the total amount; they seem to be presenting negative figures or incorrect fractions. In everyday scenarios, fractions can cause confusion, especially when converting apples to oranges, so always double-check your calculations. Take that extra moment to tally your values against the original quantities. This habit helps avoid errors in the final representation and ensures clarity!

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