We have both been playing a classic video game titled ‘Baldur’s Gate’. In the game, you select your character type, wander around the world, collect items and weapons, and save the world. At this point, we are pretty good at it, but one of us claims our main character is better: he has slain a total of 560 evil monsters consisting of trolls, orcs, evil sorcerers. In total, he has had to strike them with his magic staff 620 times. Evil sorcerers and trolls each require two strikes, while an orc requires only one strike. Evil sorcerers are more rare than trolls, so he has slain five times as many trolls as sorcerers. How many of each villain has he slain?
We have both been playing a classic video game titled ‘Baldur’s Gate’. In the game, you select your character type, wander around the world, collect items and weapons, and save the world. At this point, we are pretty good at it, but one of us claims our main character is better: he has slain a total of 560 evil monsters consisting of trolls, orcs, evil sorcerers. In total, he has had to strike them with his magic staff 620 times. Evil sorcerers and trolls each require two strikes, while an orc requires only one strike. Evil sorcerers are more rare than trolls, so he has slain five times as many trolls as sorcerers. How many of each villain has he slain?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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We have both been playing a classic video game titled ‘Baldur’s Gate’. In the game, you select your character type, wander around the world, collect items and weapons, and save the world. At this point, we are pretty good at it, but one of us claims our main character is better: he has slain a total of 560 evil monsters consisting of trolls, orcs, evil sorcerers. In total, he has had to strike them with his magic staff 620 times. Evil sorcerers and trolls each require two strikes, while an orc requires only one strike. Evil sorcerers are more rare than trolls, so he has slain five times as many trolls as sorcerers.
How many of each villain has he slain?
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