1 . Sam has $575 in his savings account. He wants to save at least $50 for a video game coming out in a couple of months. He spends $75 a week on food and transportation. What is the most amount of weeks he can pull from his savings account to be able to buy the video game?
ANs: 575 - 75w >= 50
-575 -575
-75w >= -525
-75w/-75 >= -525/-75
w <= 7 weeks
2. Allison practices Violin. She practices for 3 hours each practice session. If she already practiced 1 session this week how many more sessions does she need to do to practice at least 12 hours.
ANs: 3s + 3 >= 12
-3 -3
3s >= 9
3s/3 >= 9/3
s >= 3 sessions
To find the answer to the first question, we need to set up an inequality equation based on the given information. We know that Sam wants to save at least $50 for the video game, and he spends $75 a week on food and transportation. Let's assume he can save for "w" number of weeks.
The equation would be: 575 - 75w >= 50
To solve for "w", we can start by subtracting 575 from both sides of the equation:
575 - 575 - 75w >= 50 - 575
-75w >= -525
Next, we can divide both sides of the equation by -75 to solve for "w":
(-75w) / (-75) >= (-525) / (-75)
w <= 7 weeks
Therefore, Sam can pull from his savings account for a maximum of 7 weeks to be able to buy the video game.
For the second question, we need to determine how many more practice sessions Allison needs to do to reach a total of at least 12 hours. We know that she practices for 3 hours in each session, and she has already completed 1 session this week.
Let "s" represent the number of additional practice sessions she needs to do. The equation would be: 3s + 3 >= 12
To solve for "s", we can start by subtracting 3 from both sides of the equation:
3s + 3 - 3 >= 12 - 3
3s >= 9
Next, we can divide both sides of the equation by 3 to solve for "s":
(3s) / 3 >= 9 / 3
s >= 3 sessions
Therefore, Allison needs to do at least 3 more practice sessions to reach a total of 12 hours of practice.