In a specific video game scenario, you are given 2,000 gold. You can either train soldiers to defend your base at 50 gold a piece or research weapon upgrades at 500 gold per upgrade. The game allows a maximum of three upgrades, and you know that you need at least 20 soldiers trained to survive the next level. Which of the following is a possible combination of the number of soldiers (s) and the number of upgrades (u) you can train/purchase in the game scenario? 10 soldiers; 2 upgrades20 soldiers; 4 upgrades30 soldiers; 3 upgrades40 soldiers; 0 upgrades

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Mathematics

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25 December, 17:28

In a specific video game scenario, you are given 2,000 gold. You can either train soldiers to defend your base at 50 gold a piece or research weapon upgrades at 500 gold per upgrade. The game allows a maximum of three upgrades, and you know that you need at least 20 soldiers trained to survive the next level. Which of the following is a possible combination of the number of soldiers (s) and the number of upgrades (u) you can train/purchase in the game scenario? 10 soldiers; 2 upgrades20 soldiers; 4 upgrades30 soldiers; 3 upgrades40 soldiers; 0 upgrades

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Irwin · Answer 1

50s + 500u < = 2000

u < = 3

s > = 20

10 soldiers, 2 upgrades ... will not work because u = 20

20 soldiers, 4 upgrades ... will not work because u < = 3

30 soldiers, 3 upgrades

50 (30) + 500 (3) < = 2000

1500 + 1500 < = 2000

3000 < = 2000 (nope ... will not work)

40 soldiers, 0 upgrades

50 (40) + 500 (0) < = 2000

2000 + 0 < = 2000

2000 < = 2000 (correct)

answer is : 40 soldiers and 0 upgrades