# You have $45 in an account and you are saving $15 per week. Your friend has $24 in an account and is saving $18 per week. After how many weeks will you both have the same amount of money in your accounts?

7 weeks

Or, we could figure that the difference in the accounts is reduced by $3 per week because one friend pays in$18 and the other only$15.

At this rate, how long would it take to sort out the difference between $45 and$24 which is $21.

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To find out when you and your friend will have the same amount of money in your accounts, we can set up an equation based on the amount of money you both have.

Let ( x ) represent the number of weeks.

For you: Initial amount = $45 Weekly savings =$15 Total amount after ( x ) weeks = ( 45 + 15x )

For your friend: Initial amount = $24 Weekly savings =$18 Total amount after ( x ) weeks = ( 24 + 18x )

To find when you both have the same amount of money, we set these expressions equal to each other:

[ 45 + 15x = 24 + 18x ]

Now, solve for ( x ):

[ 45 + 15x = 24 + 18x ] [ 15x - 18x = 24 - 45 ] [ -3x = -21 ] [ x = 7 ]

After 7 weeks, you and your friend will have the same amount of money in your accounts.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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