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04 Aug 2025, 10:58
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Castle: 3
Mansion: 2
In the computer game Stoneforge Dominion, a player can use available resources to build castles and mansions. Each structure must be built using a specific ratio of three components: stone, wood, and metal.
• A castle requires 2 units of wood, along with three times as much stone as wood, and twice as much wood as metal.
• A mansion requires 6 units of wood, along with 2 units of stone for every 3 units of wood, and 1 unit of metal for every 5 units of total wood and stone combined.
The player has 18 units of stone, along with two-thirds as much wood and half as much metal as stone.
Select for Castle the maximum number of complete castles the player can build, and select for Mansion the maximum number of complete mansions the player can build, using the available resources. Make only two selections, one in each column.
• A castle requires 2 units of wood, along with three times as much stone as wood, and twice as much wood as metal.
• A mansion requires 6 units of wood, along with 2 units of stone for every 3 units of wood, and 1 unit of metal for every 5 units of total wood and stone combined.
The player has 18 units of stone, along with two-thirds as much wood and half as much metal as stone.
Select for Castle the maximum number of complete castles the player can build, and select for Mansion the maximum number of complete mansions the player can build, using the available resources. Make only two selections, one in each column.
| Castle | Mansion | |
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 | ||
| 8 |
ShowHide Answer
Official Answer
Castle: 3
Mansion: 2
04 Aug 2025, 10:58
Kudos
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Official Solution:
Available resources:
Stone = 18 units
Wood = 12 units (two-thirds of 18)
Metal = 9 units (half of 18)
Castle requirements:
Wood = 2 units
Stone = 3 * 2 = 6 units
Metal = 2/2 = 1 unit
Total per castle: 6 stone, 2 wood, 1 metal
Maximum castles:
Stone: 18/6 = 3
Wood: 12/2 = 6
Metal: 9/1 = 9
Limiting factor: stone
Maximum castles = 3
Mansion requirements per unit:
Wood = 6 units
Stone = 2/3 * 6 = 4 units
Total wood + stone = 6 + 4 = 10
Metal = 10/5 = 2 units
Total per mansion: 4 stone, 6 wood, 2 metal
Maximum mansions:
Stone: 18/4 = 4.5
Wood: 12/6 = 2
Metal: 9/2 = 4.5
Limiting factor: wood
Maximum mansions = 2
Correct answer:
Castle "3"
Mansion "2"
Bunuel
Available resources:
Stone = 18 units
Wood = 12 units (two-thirds of 18)
Metal = 9 units (half of 18)
Castle requirements:
Wood = 2 units
Stone = 3 * 2 = 6 units
Metal = 2/2 = 1 unit
Total per castle: 6 stone, 2 wood, 1 metal
Maximum castles:
Stone: 18/6 = 3
Wood: 12/2 = 6
Metal: 9/1 = 9
Limiting factor: stone
Maximum castles = 3
Mansion requirements per unit:
Wood = 6 units
Stone = 2/3 * 6 = 4 units
Total wood + stone = 6 + 4 = 10
Metal = 10/5 = 2 units
Total per mansion: 4 stone, 6 wood, 2 metal
Maximum mansions:
Stone: 18/4 = 4.5
Wood: 12/6 = 2
Metal: 9/2 = 4.5
Limiting factor: wood
Maximum mansions = 2
Correct answer:
Castle "3"
Mansion "2"
23 Nov 2025, 08:11
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Doesn't build using available resources insinuate using 18 units of stone, along with two-thirds as much wood and half as much metal as stone- for both the mansion and castle together?
