Nethra is saving to buy a new gaming system. She needs \(\$829\) in total to buy the console. She has already saved \(\$117\).
Nethra has two part-time jobs. She works at a grocery store every Tuesday and Thursday for \(2\) hours each day. From the grocery store job she earns \(\$15\) per hour. She works at a restaurant every Saturday for \(5\) hours. From the restaurant job she earns \(\$13\) per hour.
Nethra gets paid every week on Sunday. That day she pays her parents \(\$10\) for transportation and buys herself \(\$5\) worth of treats. She saves the rest of the money she earned during the week.
How many weeks does Nethra have to work until she has saved enough money to buy the gaming system?
Since Nethra has already saved \(\$117\), she needs \(\$829 - \$117 = \$712\) more to buy the gaming system.
From her job at the grocery store, she earns \(4 \times \$15 = \$60\) each week.
From her job at the restaurant, she earns \(5
\times \$13 = \$65\) each week.
This is a total of \(\$60 + \$65 = \$125\)
each week.
Each week she spends \(\$10 + \$5 =
\$15\).
This means she can save \(\$125 - \$15 =
\$110\) each week for the gaming system.
Now we can make a table to show how much she saves over multiple weeks:
| Week | Total Savings ($) |
|---|---|
| \(1\) | \(110\) |
| \(2\) | \(220\) |
| \(3\) | \(330\) |
| \(4\) | \(440\) |
| \(5\) | \(550\) |
| \(6\) | \(660\) |
| \(7\) | \(770\) |
After \(7\) weeks Nethra has saved more than \(\$712\), so she has enough money to buy the gaming system.