Dorothy spent $53 to buy doughnut ingredients. If she made 25 doughnuts and sells each for $3, how much was her profit? Give the rationale and then the answer.
Let's think step by step. She was able to earn 25 x $3 = $75 for the doughnuts. Therefore, Dorothy's profit is $75 - $53 = $22.. The answer is: 22.

Carmen is counting the cars that pass by her window. All the cars are either white, black, or red. She sees 50 trucks and 40 cars. Half the trucks are red, and another 20% are black. If she picks one car at random, what is the percentage chance it's a white truck, rounded to the nearest integer? Give the rationale and then the answer.
Let's think step by step. First find the total number of vehicles Carmen counted: 50 trucks + 40 cars = 90 vehicles. Then find the number of trucks that were red: 50 trucks / 2 = 25 trucks. Then find the number of trucks that were black: 50 trucks * .2 = 10 trucks. Then subtract the red and black trucks from the total number of trucks to find the number of white trucks: 50 trucks - 25 trucks - 10 trucks = 15 trucks. Then divide the number of white trucks by the number of vehicles and multiply by 100% to find the percentage of vehicles that are white trucks: 15 trucks / 90 vehicles * 100% = 16.66...%, which rounds up to 17%.. The answer is: 17.

The cost of purchasing two commodities is $827. If the purchase price of the first one exceeds the other by $127, what is the purchase price of the first commodity? Give the rationale and then the answer.
Let's think step by step. Let X be the price of the first commodity, so the price of the second commodity is X - $127. The cost of purchasing two of them is X + (X - $127) = $827. Combining like terms, we get X * 2 - $127 = $827. Subtracting $137 from both sides, we get X * 2 = $954. Dividing both sides by 2, we get X = $477.. The answer is: 477.