Question: A hand-crank pencil sharpener can sharpen one pencil every forty-five seconds. An electric version can sharpen one in twenty seconds. How many more pencils can the electric sharpener sharpen than the hand-crank sharpener in six minutes?
Answer: A minute is 60 seconds, so 6 minutes is 6 * 60 = 360 seconds. A hand - crank sharpener can sharpen 360 / 45 = 8 pencils in 6 minutes. An electric sharpener can sharpen 360 / 20 = 18 pencils in 6 minutes. Therefore, an electric sharpener can sharpen 18 - 8 = 10 more pencils than a hand - crank in 6 minutes. The answer is 10.
[Question]Logan's father receives 50 cartons delivery for his milk business, each carton having 20 jars of milk. On a particular week, he received 20 cartons less when the delivery was done, and during offloading, he realized 3 jars in 5 cartons each was damaged, and one carton was totally damaged. How many jars of milk were good for sale that week?
[Answer]When 20 cartons failed to be delivered, the number of cartons reduced to 50 - 20 = 30 cartons. The total number of jars in all the cartons is 30 * 20 = 600. The total number of jars destroyed in the 5 cartons is 3 * 5 = 15 jars. If one carton was also destroyed, the total number of destroyed jars is 20 + 15 = 35 jars. The number of jars good for sale is 600 - 35 = 565 jars. The answer is 565.
Q: Dabbie bought 3 turkeys for thanksgiving, the first turkey is 6 kilograms, the second turkey is 9 kilograms, and the weight of the third turkey is twice the weight of the second turkey. If the cost of a kilogram of turkey is $2, how much does Dabbie spent on all the turkeys?
A: Dabbie paid 6 x $2 = $12 for the first turkey. He paid 9 x $ 2 = $18 for the second turkey. And the weight of the third turkey is 9 x 2 = 18 kilograms. So, the price of the third turkey is 18 x $2 = $36. Therefore, the total amount he paid for all the turkeys is $12 + $18 + $36 = $66. The answer is 66.
Question: Out of the 200 students in a class, thirty percent like the color blue. Among the remaining students who don't like the color blue, 40% like the color red, and the rest like the color yellow. Calculate the combined number of students who like the color yellow and the color blue.
Answer: The number of students who like the color blue is 30 / 100 * 200 = 60. Out of the 200 students in the class, 200 - 60 = 140 don't like the color blue. Among the students who don't like the color blue, 40 / 100 * 140 = 56 students like the color red. If the rest of the students like neither blue nor red and only like the color yellow, their number is 140 - 56 = 84. The total number of students who like the color yellow and those who like the color blue is 84 + 60 = 144. The answer is 144.
[Question]Mark is baking bread. He has to let it rise for 120 minutes twice. He also needs to spend 10 minutes kneading it and 30 minutes baking it. How many minutes does it take Mark to finish making the bread?
[Answer]First find the total rise time: 120 minutes * 2 = 240 minutes. Then add the rise time to the baking and kneading time: 240 minutes + 10 minutes + 30 minutes = 280 minutes. The answer is 280.
[Question]A bar of steel weighs twice the mass of a bar of tin. If a steel bar also weighs 20 kgs more than a copper bar and a copper bar weighs 90 kgs, calculate the total weight of a container with 20 bars of each type of metal.
[Answer]
The total weight of 20 bars of copper is 20 * 90 = 1800kgs. If a copper bar weighs 90 kgs, and a steel bar weighs 20 kgs more than a copper bar, the weight of a steel bar is 90 + 20 = 110 kgs. If a bar of steel weighs 110 kgs, 20 bars will weigh 20 * 110 = 2200kgs. The total weight of 20 bars of copper and steel is 2200 + 1800 = 4000 kgs. A bar of steel weighs twice the mass of a bar of tin, meaning a bar of tin weighs 110 / 2 = 55 kgs. The total weight of 20 bars of tins is 55 * 20 = 1100 kgs. The total weight of 20 bars of each metal is 4000 + 1100 = 5100 kgs. The answer is 5100.