Chapter 8.6, Problem 57CCR

To determine

Find how many weeks he will need to make deposits into the account.

Answer to Problem 57CCR

Number of weeks needed is 12 weeks.

Explanation of Solution

Given:

Jordan has $234 in his saving account. He plans to deposit $45.50 into the account each week. If his goal is to save a total of $780, for how many weeks will he need to make deposits into the account?

Concept Used:

Jordan has $234 in his saving account. He plans to deposit $45.50 into the account each week. His goal is to save a total of $780.

Translate the statement into an equation.

Let the number of week = x

He plans to deposit $45.50 into the account each week.

Deposits in x weeks = $\$45.50x$

Jordan has $234 in his saving account and his goal is to save a total of $780.

The required equation: $234+45.50x=780$

Calculation:

The required equation: $234+45.50x=780$

Now solve for x

  $\begin{array}{l}234+45.50x=780\\ 234-234+45.50x=780-234\\ 45.50x=548\\ \frac{45.50x}{45.50}=\frac{548}{45.50}\\ x=12\end{array}$

Number of weeks needed is 12 weeks.

Thus, number of weeks needed is 12 weeks.