Final answer:
Jeremy needs to work approximately 12 more hours before he can purchase the video game system.
Step-by-step explanation:
To find out how many more hours Jeremy must work before he can purchase the video game system, we need to determine how much money he has saved after working for 26 hours. Jeremy earns $10.15 per hour, so his earnings from these 26 hours is $10.15 x 26 = $264.9. Adding this to his initial savings of $14.75, Jeremy now has $14.75 + $264.9 = $279.65.
The cost of the video game system is $400. To calculate how many more hours Jeremy needs to work, we subtract his current savings from the cost of the system: $400 - $279.65 = $120.35.
Since Jeremy earns $10.15 per hour, we can divide the remaining amount needed by his hourly wage: $120.35 / $10.15 = 11.86.
Therefore, Jeremy needs to work approximately 12 more hours before he can purchase the video game system.