Math Is Hard
Okay math peeps! This one's for you.
Darwin and I were looking at the 5-serving pizza again. I cut it into six pieces and Darwin ate two of them, or 1/3 of the pizza. Since Darwin has to keep track of carbs, we checked the label. If 1/5 of the pizza has 28 grams of carbs, how many grams are in 1/3 of it?
We couldn't figure it out in our heads and, just for fun, I decided to run it through Chat GPT. How did it go? Check below.
Meanwhile, the actual answer is to multiply the carbs in 1/5 of the pizza by 5, which is 140. This gives you the carbs in the whole pizza. Divide that by 3, since Darwin ate 1/3 or it, and you get 46.66.
GPT went a different route:
YOU: If 1/5 of a pizza has 28 grams of carbohydrates, how many grams of carbohydrates would be in 1/3 of the pizza?
CHAT GPT: Given:1/5 of the pizza = 28 grams of carbohydrates, We need to find the grams of carbohydrates in 1/3 of the pizza. Let x be the number of grams of carbohydrates in 1/3 of the pizza. We can set up the proportion:(1/5) / (1/3) = 28 / xTo solve for x, we can cross multiply:(1/5) * (3/1) = 28 * (1/3)(3/5) = 28/3Now, let's solve for x:x = (28/3) * (5/3)x = 140/9So, 1/3 of the pizza would have 140/9 grams of carbohydrates. This is approximately 15.56 grams when rounded to two decimal places.
YOU: But how could 1/3 of the pizza have 15.56 grams of carbohydrates if 1/5 of the pizza has 28?
CHAT GPT: You're correct. My apologies for the oversight. Let's correct the calculation.If 1/5 of the pizza has 28 grams of carbohydrates, we need to find how many grams of carbohydrates are in 1/3 of the pizza. Let's set up the proportion:1/5 of the pizza=28 grams of carbohydrates1/3 of the pizza=? grams of carbohydratesUsing a proportion:1/5 : 1/3 = 28 : XCross multiplying:1 x 3 = 5 x X3 = 5xSolving for X:x = 3/5 x 1/5x = 3/5 x 1/5 = 3/25So 1/3 of the pizza would have 3/25 of 28 grams of carbohydrates.Now let's calculate this:x = 3/25 x 28x = 84/25x = 3.36So 1/3 of the pizza would have approximately 3.36 grams of carbohydrates.
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Darwin and I were looking at the 5-serving pizza again. I cut it into six pieces and Darwin ate two of them, or 1/3 of the pizza. Since Darwin has to keep track of carbs, we checked the label. If 1/5 of the pizza has 28 grams of carbs, how many grams are in 1/3 of it?
We couldn't figure it out in our heads and, just for fun, I decided to run it through Chat GPT. How did it go? Check below.
Meanwhile, the actual answer is to multiply the carbs in 1/5 of the pizza by 5, which is 140. This gives you the carbs in the whole pizza. Divide that by 3, since Darwin ate 1/3 or it, and you get 46.66.
GPT went a different route:
YOU: If 1/5 of a pizza has 28 grams of carbohydrates, how many grams of carbohydrates would be in 1/3 of the pizza?
CHAT GPT: Given:1/5 of the pizza = 28 grams of carbohydrates, We need to find the grams of carbohydrates in 1/3 of the pizza. Let x be the number of grams of carbohydrates in 1/3 of the pizza. We can set up the proportion:(1/5) / (1/3) = 28 / xTo solve for x, we can cross multiply:(1/5) * (3/1) = 28 * (1/3)(3/5) = 28/3Now, let's solve for x:x = (28/3) * (5/3)x = 140/9So, 1/3 of the pizza would have 140/9 grams of carbohydrates. This is approximately 15.56 grams when rounded to two decimal places.
YOU: But how could 1/3 of the pizza have 15.56 grams of carbohydrates if 1/5 of the pizza has 28?
CHAT GPT: You're correct. My apologies for the oversight. Let's correct the calculation.If 1/5 of the pizza has 28 grams of carbohydrates, we need to find how many grams of carbohydrates are in 1/3 of the pizza. Let's set up the proportion:1/5 of the pizza=28 grams of carbohydrates1/3 of the pizza=? grams of carbohydratesUsing a proportion:1/5 : 1/3 = 28 : XCross multiplying:1 x 3 = 5 x X3 = 5xSolving for X:x = 3/5 x 1/5x = 3/5 x 1/5 = 3/25So 1/3 of the pizza would have 3/25 of 28 grams of carbohydrates.Now let's calculate this:x = 3/25 x 28x = 84/25x = 3.36So 1/3 of the pizza would have approximately 3.36 grams of carbohydrates.
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