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11 Jul 2025, 04:48
Kudos
Bookmarks
castle 2 wood, 3*2=6 stone, 2/2=1 metal
mansion 6 wood, 2*6/3=4 stone, (6+4)/5=2 metal
total 18*2/3=12 wood, 18 stone, 18/2=9 metal
castle: 12/2=6, 18/6=3, 9/1=9
The minimum quotient is 3
mansion: 12/6=2, 18/4=4.5, 9/2=4.5
The minimum quotient is 2
The right answers:
Castle=3
Mansion=2
mansion 6 wood, 2*6/3=4 stone, (6+4)/5=2 metal
total 18*2/3=12 wood, 18 stone, 18/2=9 metal
castle: 12/2=6, 18/6=3, 9/1=9
The minimum quotient is 3
mansion: 12/6=2, 18/4=4.5, 9/2=4.5
The minimum quotient is 2
The right answers:
Castle=3
Mansion=2
11 Jul 2025, 05:16
Kudos
Bookmarks
From the data given we can deduce the requirements of building 1 castle and 1 mansion.
Castle:
S: 6 units
W: 2 units
M: 1 units
Mansion:
S: 4 units
W: 6 units
M: 2 units
Player has:
S: 18 units
W: 12 units
M: 9 units
Thus the max possible to be built for each:
Castle: 3
Mansion: 2
Castle:
S: 6 units
W: 2 units
M: 1 units
Mansion:
S: 4 units
W: 6 units
M: 2 units
Player has:
S: 18 units
W: 12 units
M: 9 units
Thus the max possible to be built for each:
Castle: 3
Mansion: 2
Bunuel
11 Jul 2025, 05:26
Kudos
Bookmarks
Option B and Option A are our answers
First let's understand the information mentioned in the question before trying to answer it.
So the question starts by telling us that "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". Then it goes on by telling us the conditions for building castle and mansion:
Castle: "A castle requires 2 units of wood, along with three times as much stone as wood, and twice as much wood as metal". According to this a castle required 2 units or wood, 6 units of stone and 1 unit of metal to build. We also write it as the ratio of wood:stone:metal is 2:6:1.
Mansion: "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". According to this, to build a mansion we need 6 units of wood, 4 units of stone and 2 units of metal. Here we can say that the ratio of wood:stone:metal to build a mansion is 6:4:2.
Now the question further tells us that the player has 18 units of stone, along with two-thirds as much wood and half as much metal as stone. Which would mean that he has 18 units of stone, 12 units of wood and 9 units of metal.
Then the question asks us with the items available to the player how many maximum castles and mansions can the player make.
Let's first find out the maximum number of castles the player can build.
So from the information mentioned in the question we found that the ratio of wood:stone:metal to build a castle is 2:6:1 and the player has a total of 18 units of stone, 12 units of wood and 9 units of metal with him. If we see the player has 18 stones with him and the castle required 6 stones to be built so after building a maximum of 3 castles the player will be left with 0 stones due to which he won't be able to construct any more castle than that. If you are still not clear how we get to our answer then let's further understand how we get 3 as our answer. So the most number of items that a castle needs to be built is 6 units of stone and the player has only 18 units of stone. So the total number of castles that can be build using the available number of stones: Total Stones Available/Stones required to make one castle =>18/6 = 3 castles (Option B)
Now let's solve for the maximum number of mansions that a player can build.
So from the information mentioned in the question we found that the ratio of wood:stone:metal to build a mansion is 6:4:2 and the player has a total of 18 units of stone, 12 units of wood and 9 units of metal with him. Now we check carefully then we can tell that the player has 12 units of wood and it requires 6 units of wood to build one mansion similarly if we compare other items as well then we will be able to tell that wood will the time that will get finished first sl the maximum number of mansions that the player can build will depend on wood. So the total maximum number of mansions that can be built with the available number of wood: Total number of wood available/Total number of wood required to build one mansion=>12/6 = 2 mansions (Option A).
So from the above calculations we can conclude that the player can build a maximum of 3 Castles(Option B) and 2 Mansions (Option A).
First let's understand the information mentioned in the question before trying to answer it.
So the question starts by telling us that "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". Then it goes on by telling us the conditions for building castle and mansion:
Castle: "A castle requires 2 units of wood, along with three times as much stone as wood, and twice as much wood as metal". According to this a castle required 2 units or wood, 6 units of stone and 1 unit of metal to build. We also write it as the ratio of wood:stone:metal is 2:6:1.
Mansion: "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". According to this, to build a mansion we need 6 units of wood, 4 units of stone and 2 units of metal. Here we can say that the ratio of wood:stone:metal to build a mansion is 6:4:2.
Now the question further tells us that the player has 18 units of stone, along with two-thirds as much wood and half as much metal as stone. Which would mean that he has 18 units of stone, 12 units of wood and 9 units of metal.
Then the question asks us with the items available to the player how many maximum castles and mansions can the player make.
Let's first find out the maximum number of castles the player can build.
So from the information mentioned in the question we found that the ratio of wood:stone:metal to build a castle is 2:6:1 and the player has a total of 18 units of stone, 12 units of wood and 9 units of metal with him. If we see the player has 18 stones with him and the castle required 6 stones to be built so after building a maximum of 3 castles the player will be left with 0 stones due to which he won't be able to construct any more castle than that. If you are still not clear how we get to our answer then let's further understand how we get 3 as our answer. So the most number of items that a castle needs to be built is 6 units of stone and the player has only 18 units of stone. So the total number of castles that can be build using the available number of stones: Total Stones Available/Stones required to make one castle =>18/6 = 3 castles (Option B)
Now let's solve for the maximum number of mansions that a player can build.
So from the information mentioned in the question we found that the ratio of wood:stone:metal to build a mansion is 6:4:2 and the player has a total of 18 units of stone, 12 units of wood and 9 units of metal with him. Now we check carefully then we can tell that the player has 12 units of wood and it requires 6 units of wood to build one mansion similarly if we compare other items as well then we will be able to tell that wood will the time that will get finished first sl the maximum number of mansions that the player can build will depend on wood. So the total maximum number of mansions that can be built with the available number of wood: Total number of wood available/Total number of wood required to build one mansion=>12/6 = 2 mansions (Option A).
So from the above calculations we can conclude that the player can build a maximum of 3 Castles(Option B) and 2 Mansions (Option A).
Bunuel
