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100 animals 100 dollars riddle answer
Answer: 5 cows =$50, 1 pig =$3. 94 ducks =$47
Solution:
Answer : 5 cows =$50
1 pig =$3
94 ducks =$47
Explanation:
let number of cows be x
let the number of pigs be y
then the number of chickens = 100-x-y
10x + 3y + .5(100-x-y) < 100
times 2
20x + 6y + 100 – x – y < 200
19x + 5y < 100
consider 19x + 5y = 100
But , what is the question?
Do you want the different combinations you can buy? Do we want as close as possible to $100?
Remember x and y have to be positive integers.
so x has to be between 1 and 5
form a table with columns
x, y, and 100-x-y, and cost
1 16 83 99.50
1 15 82 86.00
…
5 1 94 100
x=5, y=1 is the only combination that will use all the money
He should buy 5 cows, 1 pig and 94 chickens
5+1+94 = 100
$50 + $3 + $47 = $100
Answer : 5 cows =$50
1 pig =$3
94 ducks =$47
Explanation:
let number of cows be x
let the number of pigs be y
then the number of chickens = 100-x-y
10x + 3y + .5(100-x-y) < 100
times 2
20x + 6y + 100 – x – y < 200
19x + 5y < 100
consider 19x + 5y = 100
But , what is the question?
Do you want the different combinations you can buy? Do we want as close as possible to $100?
Remember x and y have to be positive integers.
so x has to be between 1 and 5
form a table with columns
x, y, and 100-x-y, and cost
1 16 83 99.50
1 15 82 86.00
…
5 1 94 100
x=5, y=1 is the only combination that will use all the money
He should buy 5 cows, 1 pig and 94 chickens
5+1+94 = 100
$50 + $3 + $47 = $100
You are standing in front of a room with one lightbulb inside of it. You cannot see if it is on or off. Outside the room, there are 3 switches in the off positions. You may turn the switches any way you want to. You stop turning the switches, enter the room and know which switch controls the lightbulb. How?
Answer: You turn 2 switches "on" and leave 1 switch "off" and wait about a minute. Then enter the room, but just before you enter, turn one switch from "on" to "off". Once in the room, feel the lightbulb - if it is warm, but off, it has to be the last switch you turned off. If it is on, it has to be the switch left on. If it is cold and is off, it has to be the switch you left in the off position.
Solution:
Show Answer
You turn 2 switches “on” and leave 1 switch “off” and wait about a minute. Then enter the room, but just before you enter, turn one switch from “on” to “off”. Once in the room, feel the lightbulb – if it is warm, but off, it has to be the last switch you turned off. If it is on, it has to be the switch left on. If it is cold and is off, it has to be the switch you left in the off position.
Show Answer
You turn 2 switches “on” and leave 1 switch “off” and wait about a minute. Then enter the room, but just before you enter, turn one switch from “on” to “off”. Once in the room, feel the lightbulb – if it is warm, but off, it has to be the last switch you turned off. If it is on, it has to be the switch left on. If it is cold and is off, it has to be the switch you left in the off position.
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