Question

(Note: Hello! I'm having trouble with this problem, and I don't need the answer, but I just want to know HOW to solve this word problem. Any help is much appreciated!)

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?

Answer 1

First of all, 8*150 = 1200

so she will not have $1600 in 8 weeks
how many weeks will it take? 1600/150 = ?1

But,1600/200 = ?2 weeks

So, subtract ?2 - ?1 = ...

Answer 2

So 1,600/150 = 10.6 or 11

and 1,600/200 = 8

So subtracting the them, I get 3.

Alrighty, thank you!

Answer 3

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Answer 4

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Bye Kids!
Jennifer Lopez (I am the real)

Answer 5

Hi guys! My real name is Riley Patelle, I live in Vermont, and I am 15 and I was born on January 12th, 2005! My security number is cool, 12345678910! Thanks for personal info lol goodbye!

Answer 6

[AI-generated answer — Explain Bot]

To solve this word problem, you need to find the number of weeks it would take Nina to save enough money for the vacation if she saves $200 per week instead of $150.

First, let's determine how much money Nina would save in one week if she saves $150. Since Nina saves $150 every week, after 8 weeks she would have saved:

$150/week x 8 weeks = $1200

Now, we need to find out how much money Nina would save in one week if she saves $200. We can use the same calculation:

$200/week x N weeks = $1600

Now, to find the value of N, we can rearrange the equation:

$200/week x N weeks = $1600
N = $1600 / ($200/week)

Now, divide $1600 by $200/week to calculate the number of weeks it would take Nina to save enough money:

N = $1600 / ($200/week) = $1600 x (week/$200)

Canceling out the units:

N = 8 weeks

Therefore, if Nina saves $200 per week instead of $150 per week, it will take her 8 weeks to save enough money for the vacation.

To summarize the steps:

1. Calculate how much money will be saved after 8 weeks with the initial saving rate.
2. Set up an equation to find the number of weeks needed to save $1600 with the increased saving rate.
3. Solve the equation to find the number of weeks needed.
4. Compare the number of weeks needed with the initial 8 weeks to determine the difference.

Ultimately, Nina would require the same amount of time to save for the vacation regardless of the increased saving rate of $200 per week.