Question

every month jordan puts 14.50 into her bank account, her grandma puts additional money into Jordans bank account every month. After 12 months, jordan has 294.00 in her bank account.
write and solve an equation that can be used to find x, the amount of money her grandma puts into the bank account each month,
show your work

Answer 1

To find the amount of money Jordan's grandma puts into the bank account each month, we can set up the following equation based on the information provided.

1. Jordan saves $14.50 each month, and she saves this amount for 12 months:

\[
14.50 \times 12
\]

Calculating this gives:

\[
14.50 \times 12 = 174.00
\]

2. Let \( x \) be the amount of money her grandma puts into the bank account each month. Since her grandma also contributes every month for 12 months, the total amount contributed by her grandma is:

\[
x \times 12
\]

3. After 12 months, the total amount in Jordan's bank account is $294.00. We can express this total as the sum of Jordan's contributions and her grandma's contributions:

\[
(14.50 \times 12) + (x \times 12) = 294.00
\]

4. Plugging in our previously calculated value:

\[
174.00 + (12x) = 294.00
\]

5. Now, we can solve for \( x \):

\[
12x = 294.00 - 174.00
\]

\[
12x = 120.00
\]

6. Finally, divide both sides by 12 to find \( x \):

\[
x = \frac{120.00}{12} = 10.00
\]

So, the amount of money her grandma puts into the bank account each month is \( \boxed{10.00} \).