Question

Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $25 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.

Answer 1

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!

Answer 2

Answer:

• 5.5 weeks  

Step-by-step explanation:

Given

Initial balance

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

Added amount per week

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

If number of weeks is x, then required equation is

• 117 + 21x = 95 + 25x

Solving for x

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

The answer is 5.5 weeks