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 hav enough money for the vacation in 8 weeks. If Nina was able to save $200 a week instead of $159 a week, how many fewer weeks would it take her to save money for the vacation

Respuesta :

To answer this question you will want to know how much money she started with.

If she saves $150 a week for 8 weeks, this is 150 x 8 or $1200. This means she started with $400.

If she saves $200 a week beginning with $400, this will take her 6 weeks of saving. (-$1600 -$400 = $1200; $1200/$200 = 6 weeks of saving).

Answer:

2 fewer weeks

Step-by-step explanation:

The vacation will cost a total of $1600

She saves $150 per week.

So, she saves in 8 weeks = [tex]150 \times 8[/tex]

                                          = [tex]1200[/tex]

Since we are given that she will have enough money after 8 weeks

This means she already had 1600-1200 = 400 initially

This means she need to save 1200  and she already has 400

If she saves $200 per week

So, she saves in 1200 in weeks = [tex]\frac{1200}{200}[/tex]

                                                     = [tex]6[/tex]

So, it will take 6 weeks to save 1200 if she saves 200 per week

So, no. of fewer weeks it would take o save money for the vacation :

= 8-6

=2

Hence it will take 2 fewer weeks to save money for the vacation.