(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?
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 = ...
So 1,600/150 = 10.6 or 11
and 1,600/200 = 8
So subtracting the them, I get 3.
Alrighty, thank you!
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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.