Question

Stacy starts a savings account with $15. Each month she deposits $10 more into her account. Stacy has now saved $75. What equation can be used to determine how many months, m, Stacy has deposited money into her savings account

Answer 1

Answer:

The equation is $15+m\times10=75$ and she deposited money for $6$ months.

Step-by-step explanation:

Given:

Amount in the savings account at the start $=\ 15$.

Amount added each month $=\ 10$.

Total amount in the bank now $=\ 75$.

To find: The equation used to determine how many months, $m$, Stacy has deposited money into her savings account.

Solution:

Let Stacy deposited money in her savings account for $m$ months.

Amount in the savings account at the start $=\ 15$.

Amount added each month $=\ 10$.

Amount after one month $=\ 15+\ 10$.

Amount after two months $=\ 15+2\times \ 10$.

So, amount after $m$ months $=\ 15+m\times \ 10$.

Now, total amount in the bank now $=\ 75$.

So, $15+m\times10=75$.

$\Rightarrow m\times 10=75-15$

$\Rightarrow m\times 10=60$

$\Rightarrow m=\frac{60}{10}$

$\Rightarrow m=6$

Hence, Stacy deposited money into her savings account for $6$ months.