Middle School

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Henry deposited $420 into a savings account. There is a $5.00 per month service fee on the account. Additionally, Henry decides to withdraw $25 a week for spending money.

In how many months will Henry run out of money?

A) 3 months
B) 4 months
C) 5 months
D) 6 months

Answer :

Answer:

Step-by-step explanation:

Given that Henry deposited $420 into a savings account. There is a $5.00 per month service fee on the account. Also, Henry decides he wants to withdraw $25 a week for spending money.

Let us convert everything into days.

30 days a month and 7 days in a week

Service charges for 30 days = 5

withdrawn amount for 7 days = 25

Let x be the total no of days

Then [tex]\frac{25x}{7} +\frac{5x}{30}= 420\\\\750x+35x=420(7)(30)\\785x=420(7)(30)\\x=112.3567[/tex]

i.e. between 3 and 4 months

We can say in 3 months this will be exhausted.

Option A

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Rewritten by : Barada

equation would be 420 - 5m - 25w so the answer would be B. 4 months