destiny opens a checking account with $100 and then deposits $27 each week. how many weeks will it take her account to reach $343?

use the equation to solve the problem: 100 + 27w = 343

1 answer

To solve the equation \( 100 + 27w = 343 \) for \( w \), follow these steps:

  1. Subtract 100 from both sides of the equation:

\[ 27w = 343 - 100 \]

\[ 27w = 243 \]

  1. Now, divide both sides by 27 to solve for \( w \):

\[ w = \frac{243}{27} \]

  1. Perform the division:

\[ w = 9 \]

So, it will take Destiny 9 weeks to reach $343 in her checking account.