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Rosa has already eaten 10 pretzels from ...

Rosa has already eaten 10 pretzels from a bag that originally contained p pretzels. IF Rosa is able to eat each remaining pretzel in 18 seconds, which of the following represents the amount of additional time, in seconds, needed for Rosa to eat all the pretzels in the bag?

A

10(18-p)

B

10(p-18)

C

18(10-p)

D

18(p-10)

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The correct Answer is:
To solve the problem, we need to determine how much additional time Rosa will need to eat the remaining pretzels after having already eaten 10 from a bag that originally contained \( p \) pretzels. ### Step-by-Step Solution: 1. **Determine the Remaining Pretzels**: - Rosa has eaten 10 pretzels from a bag that originally contained \( p \) pretzels. - The number of pretzels remaining is given by: \[ \text{Remaining pretzels} = p - 10 \] 2. **Calculate the Time to Eat Remaining Pretzels**: - Rosa takes 18 seconds to eat each remaining pretzel. - Therefore, the total time needed to eat all the remaining pretzels is: \[ \text{Total time} = \text{Number of remaining pretzels} \times \text{Time per pretzel} \] - Substituting the values we have: \[ \text{Total time} = (p - 10) \times 18 \] 3. **Simplify the Expression**: - We can simplify the expression for total time: \[ \text{Total time} = 18(p - 10) \] 4. **Final Representation**: - Thus, the amount of additional time, in seconds, needed for Rosa to eat all the pretzels in the bag is: \[ 18(p - 10) \] ### Final Answer: The expression that represents the amount of additional time needed for Rosa to eat all the pretzels in the bag is: \[ 18(p - 10) \]
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