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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?

Respuesta :

sqdancefan

Answer:

  6 weeks

Step-by-step explanation:

At $200/week instead of $150/week, Nina's saving rate is 200/150 = 4/3 times the original rate. The time to save a given amount is inversely proportional to the saving rate, so it will take 3/4 of the time when Nina saves at the higher rate.

  (3/4)(8 weeks) = 6 weeks

At $200 per week, it will take Nina 6 weeks to save enough for her vacation.

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