(583) Can ChatGPT solve a math problem? [調べる]
How can I enjoy using ChatGPT?
ChatGPT can produce many answers to a given problem. I enjoy the diversity of ways of thinking about a problem.
ChatGPT gives me many kinds of suggestions. But it doesn't seem to know which one is the right one. So, I have to choose the one I like and the right one among them.
ChatGPT gives me many kinds of suggestions. But it doesn't seem to know which one is the right one. So, I have to choose the one I like and the right one among them.
Today I am going to ask ChatGPT to solve a math problem.
Here is a math problem.
Here is a math problem.
１００ｋｇのジャガイモがあり、その重量の９９％が水分であるとします。それを一晩外に放置したら、水分が９８％になりました。さてジャガイモの重さは何ｋｇになったでしょうか？
Suppose you have 100 kg of potatoes and 99% of their weight is water. After leaving them outside overnight, the water content is reduced to 98 %. How many kilograms do the potatoes weigh now?
Results of Experiments
I had to keep rephrasing the question in several ways to get a correct answer. ChatGPT answered correctly to the fourth rephased question. The correct answer is 50 kg.
A few days later, I let ChatGPT solve the problem again. But I didn't get the correct answer. So, I regenerated response of ChatGPT many times to get the correct one. I did it 9 times. Only the 8th response was correct, 50 kg. Others were wrong.
Experiment 1.
I kept rephrasing the question until a correct answer was responded.
I kept rephrasing the question until a correct answer was responded.
The 1st answer from ChatGPT was "the potatoes now weigh 2 kg". WRONG
The 2nd and 3rd one was also 2 kg. WRONG
The 2nd and 3rd one was also 2 kg. WRONG
The 4th question was rephrased like this.
Can you solve the next problem?
Suppose you have 100 kg of potatoes and 99% of their weight is water.
After leaving them outside overnight, the water content of the potatoes is reduced to 98% of their weight. How many kilograms do the potatoes weigh now?
Can you solve the next problem?
Suppose you have 100 kg of potatoes and 99% of their weight is water.
After leaving them outside overnight, the water content of the potatoes is reduced to 98% of their weight. How many kilograms do the potatoes weigh now?
ChatGPT
To solve this problem, we need to calculate the weight of the potatoes after the reduction in water content.
Initially, 99% of the weight of the potatoes is water, which means that 99 kg out of 100 kg is water and 1 kg is the solid matter.
After the reduction in water content to 98%, the water would constitute 98% of the total weight, and the solid matter would be 2% of the total weight.
To find the weight of the potatoes after the reduction, we can use the following calculation;
Weight of potatoes = Weight of solid matter / Percentage of solid matter
Weight of potatoes = 1 kg / 2%
Now, we convert the percentage to a decimal by dividing it by 100:
Weight of potatoes = 1 kg / 0.02
Weight of potatoes = 50 kg
Therefore, after the reduction in water content, the potatoes would weigh 50 kg.
Initially, 99% of the weight of the potatoes is water, which means that 99 kg out of 100 kg is water and 1 kg is the solid matter.
After the reduction in water content to 98%, the water would constitute 98% of the total weight, and the solid matter would be 2% of the total weight.
To find the weight of the potatoes after the reduction, we can use the following calculation;
Weight of potatoes = Weight of solid matter / Percentage of solid matter
Weight of potatoes = 1 kg / 2%
Now, we convert the percentage to a decimal by dividing it by 100:
Weight of potatoes = 1 kg / 0.02
Weight of potatoes = 50 kg
Therefore, after the reduction in water content, the potatoes would weigh 50 kg.
この問題を解くためには、水分の割合が減少した後のジャガイモの重さを計算する必要があります。
最初に、ジャガイモの重量の９９％が水分であると仮定します。つまり、１００ｋｇのうち９９ｋｇが水分であり、１ｋｇが固形物です。
ジャガイモの水分含有量が９８％に減少した場合、水分は総重量の９８％を占め、固形物は
最初に、ジャガイモの重量の９９％が水分であると仮定します。つまり、１００ｋｇのうち９９ｋｇが水分であり、１ｋｇが固形物です。
ジャガイモの水分含有量が９８％に減少した場合、水分は総重量の９８％を占め、固形物は
総重量の２％になります。
減少後のジャガイモの重さを求めるために、以下の計算式を使います：
ジャガイモの重さ ＝ 固形物の重さ ／ 固形物の割合
ジャガイモの重さ ＝ １ｋｇ ／ ２％
次に、割合を少数に変換するために１００で割ります：
ジャガイモの重さ ＝ １ｋｇ ／ ０．０２
ジャガイモの重さ ＝ ５０ｋｇ
したがって、水分の減少後、ジャガイモの重さは５０ｋｇになります。
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The fourth answer is correct, 50 kg.
減少後のジャガイモの重さを求めるために、以下の計算式を使います：
ジャガイモの重さ ＝ 固形物の重さ ／ 固形物の割合
ジャガイモの重さ ＝ １ｋｇ ／ ２％
次に、割合を少数に変換するために１００で割ります：
ジャガイモの重さ ＝ １ｋｇ ／ ０．０２
ジャガイモの重さ ＝ ５０ｋｇ
したがって、水分の減少後、ジャガイモの重さは５０ｋｇになります。
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The fourth answer is correct, 50 kg.
Experiment 2:
Regenerate response many times
Today I asked ChatGPT to solve the same question.
The 1st response was wrong, so I kept regenerating response. At the 8th regeneration, correct answer was responded.
Regenerate response many times
Today I asked ChatGPT to solve the same question.
The 1st response was wrong, so I kept regenerating response. At the 8th regeneration, correct answer was responded.
ChatGPT 8/8
To solve this problem, we can set up an equation based on the given information. Let's denote the weight of the potatoes after leaving them outside overnight as x kg. According to the problem, initially, 99% of the weight of the potatoes was water. This means that 1% of the weight was the actual solid matter (potato material). So, initially, the weight of the solid matter was 1% of 100 kg, which is 1 kg.After leaving the potatoes outside overnight, the water content reduces to 98% of their weight. This means that 2% of the weight is the solid matter. Therefore, we can set up the following equation:
2% of x kg = 1 kg
To solve for x, we can convert 2% to a decimal by dividing it by 100:
0.02*x = 1 kg
Now, let's solve for x:
x = 1 / 0.02
x = 50
Therefore, the potatoes weigh 50 kg after leaving them outside overnight.
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The 8th generation of response is 50 kg, correct.
But the 9th generation of response became wrong again.
ChatGPT 9/9
To solve this problem, we'll start by determining the initial weight of water in the potatoes and then find the final weight after the water content decreases.1. Initial Weight of Water:
The potatoes initially contain 99% water, so we can calculate the weight of water as follows:
Initial weight of water = 99% of 100 kg
= (99/100) * 100 kg
= 99 kg
The potatoes initially contain 99% water, so we can calculate the weight of water as follows:
Initial weight of water = 99% of 100 kg
= (99/100) * 100 kg
= 99 kg
2. Final Weight of Water:
After leaving the potatoes outside overnight, the water content is reduced to 98% of their weight. We can calculate the weight of water after reduction as follows:
Final weight of water = 98% of the new total weight of potatoes
After leaving the potatoes outside overnight, the water content is reduced to 98% of their weight. We can calculate the weight of water after reduction as follows:
Final weight of water = 98% of the new total weight of potatoes
3. Total Weight of Potatoes:
Since the water weight is reduced, the remaining weight mut be the weight of the actual potatoes. We can calculate this using the equation:
Total weight of potatoes = 100 kg - Final weight of water
Since the water weight is reduced, the remaining weight mut be the weight of the actual potatoes. We can calculate this using the equation:
Total weight of potatoes = 100 kg - Final weight of water
Now, let's calculate the final weight of water and the total weight of the potatoes:
Total weight of potatoes = 100 kg - (98% of the new total weight of potatoes)
Now we can solve this equation:
Total weight of potatoes = 100 kg -(0.98*Total weight of potatoes)
Expanding the equation:
Total weight of potatoes = 100 kg - 0.98*Total weight of potatoes
Total weight of potatoes + 0.98*Total weight of potatoes = 100 kg
1.98*Total weight of potatoes = 100 kg
Total weight of potatoes = 100 kg / 1.98
Total weight of potatoes ≒ 50.505 (rounded to three decimal places)
Therefore, the potatoes now weigh approximately 50.505 kg after the reduction in water content.
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Total weight of potatoes = 100 kg - (98% of the new total weight of potatoes)
Now we can solve this equation:
Total weight of potatoes = 100 kg -(0.98*Total weight of potatoes)
Expanding the equation:
Total weight of potatoes = 100 kg - 0.98*Total weight of potatoes
Total weight of potatoes + 0.98*Total weight of potatoes = 100 kg
1.98*Total weight of potatoes = 100 kg
Total weight of potatoes = 100 kg / 1.98
Total weight of potatoes ≒ 50.505 (rounded to three decimal places)
Therefore, the potatoes now weigh approximately 50.505 kg after the reduction in water content.
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The wrong part is:
3. Total Weight of Potatoes:
Since the water weight is reduced, the remaining weight mut be the weight of the actual potatoes. We can calculate this using the equation:
Total weight of potatoes = 100 kg - Final weight of water
⇩
Total weight of potatoes = 100 kg - Weight of reduced water
3. Total Weight of Potatoes:
Since the water weight is reduced, the remaining weight mut be the weight of the actual potatoes. We can calculate this using the equation:
Total weight of potatoes = 100 kg - Final weight of water
⇩
Total weight of potatoes = 100 kg - Weight of reduced water
Weight of reduced water = 99 kg - 98% of Total weight of potatoes
(1 - 0.98) * Total weight of potatoes = 100 kg - 99 kg
Total weight of potatoes = 1 kg / 0.02 = 50 kg
Total weight of potatoes = 1 kg / 0.02 = 50 kg
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