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Nina has some money saved for a vacation she has planned.  The vacation will cost a total of $1600.She will put $150 every week into her account to help pay for the vacation. She will have enough money for the vacation in 8 weeks.  If Nina was able to save $200 a week instead of $150 a week, how many fewer weeks would it take her to save enough money for the vacation? Enter the result in the response box.

Question

Nina has some money saved for a vacation she has planned.  The vacation will cost a total of 1600.Shewillput1600.She will put 150 every week into her account to help pay for the vacation. She will have enough money for the vacation in 8 weeks.  If Nina was able to save 200aweekinsteadof200 a week instead of 150 a week, how many fewer weeks would it take her to save enough money for the vacation? Enter the result in the response box.

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Solution

First, let's calculate how much money Nina already has saved. We know that she will have enough money for the vacation in 8 weeks by saving 150everyweek.So,8weeks150 every week. So, 8 weeks * 150/week = 1200.Thismeansshealreadyhas1200. This means she already has 1600 (total cost of the vacation) - 1200=1200 = 400 saved.

Now, let's calculate how many weeks it would take her to save enough money if she was able to save 200aweek.Sheneedstosaveanadditional200 a week. She needs to save an additional 1200, so 1200/1200 / 200/week = 6 weeks.

Finally, to find out how many fewer weeks it would take her, we subtract the number of weeks it would take with the increased savings from the original number of weeks. So, 8 weeks - 6 weeks = 2 weeks.

Therefore, if Nina was able to save 200aweekinsteadof200 a week instead of 150 a week, it would take her 2 fewer weeks to save enough money for the vacation.

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