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AleksandrR [38]
3 years ago
5

Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $2

5 into her checking account. Complete the equation that can be used to find the number of weeks, x, until Rosa has the same amount of money in both accounts.
Mathematics
2 answers:
mr_godi [17]3 years ago
6 0

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week (x), she adds $21 to her savings account:

21x+117

The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week (x), she adds $25 to her checking account:

25x+95

Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks (x) it takes until Rosha has the same amount of money in both accounts:

21x+117=25x+95

Subtract 21x from both sides of the equation:

117=4x+95

Subtract 95 from both sides of the equation:

22=4x

Divide both sides of the equation by the coefficient of x, which is 4:

5.5=x

x=5.5

So it will take five and a half weeks for her accounts to have the same amount of money.

_

Check your work by substituting 5.5 into the initial equation:

21(5.5)+117=25(5.5)+95

115.5+117=137.5+95

232.5=232.5

Since the accounts have the same amount, the answer is correct!

natali 33 [55]3 years ago
6 0

Answer:

  • 5.5 weeks  

Step-by-step explanation:

<h3>Given</h3>

<u>Initial balance</u>

  • Savings account = $117
  • Checking account = $95

<u>Added amount per week</u>

  • Savings account = $21
  • Checking account = $25

<u>If number of weeks is x, then required equation is</u>

  • 117 + 21x = 95 + 25x

<u>Solving for x</u>

  • 25x - 21x = 117 - 95
  • 4x = 22
  • x = 22/4
  • x = 5.5

The answer is 5.5 weeks

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