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 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 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.
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 150/week = 1600 (total cost of the vacation) - 400 saved.
Now, let's calculate how many weeks it would take her to save enough money if she was able to save 1200, so 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 150 a week, it would take her 2 fewer weeks to save enough money for the vacation.
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