[Question]Anna can read 1 page in 1 minute. Carole can read as fast as Anna but at half the speed of Brianna. How long does it take Brianna to read a 100-page book?
[Answer]If Anna can read 1 page in 1 minute, then her speed is 1 / 1 = 1 page per min. If Carole can read at Anna's same speed then her speed is also 1 page per min. If Carole is only half the speed of Brianna, then that means Brianna is twice as fast as Carole, so 2 * 1 page per min = 2 pages per min. If a book is 100 pages long and Brianna can read 2 pages per minute, then it will take her 100 / 2 = 50 minutes to read the book. The answer is 50.
Q: Cynthia harvested 67 potatoes from her garden. After washing them, she cut 13 of them into wedges. She then halved the remaining potatoes and made french fries with one half, and potato chips with the other half. If one potato can be cut into 8 wedges or make 20 potato chips, how many more potato chips than wedges did Cynthia make?
A: Cynthia was left with 67 - 13 = 54 potatoes after making wedges. She used 54 / 2 = 27 potatoes to make potato chips. Cynthia made 13 x 8 = 104 wedges. She made 27 x 20 = 540 potato chips. Cynthia made 540 - 104 = 436 more potato chips than wedges. The answer is 436.
Question: In one day, Ella's dog eats 4 pounds of food for every one pound of food that Ella eats. How much food do Ella and her dog in 10 days if Ella eat 20 pounds of food each day?
Answer: If Ella's dog eats 4 pounds of food for every one pound of food that Ella eats, when Ella eats 20 pounds of food in a day, Ella's dog eats 4 * 20 = 80 pounds of food. Together, in one day, Ella and her dog eats 80 + 20 = 100 pounds. In 10 days, Ella and her dog will eat 10 * 100 = 1000 pounds of food. The answer is 1000.
[Question]Sara builds a birdhouse that is 1 foot wide, 2 feet tall and 2 feet deep. Jake builds a birdhouse that is 16 inches wide, 20 inches tall and 18 inches deep. What is the difference in volume between the two birdhouses?
[Answer]To compare volumes, the measurements must be in the same units. There are 12 inches in 1 ft, so Sara’s birdhouse is 1 ft x 12 inches / ft = 12 inches wide, 2 ft x 12 inches / ft = 24 inches tall, and 2 ft x 12 inches / ft = 24 inches deep. The volume of Sara’s birdhouse is 12 inches x 24 inches x 24 inches = 6,912 cubic inches. The volume of Jake’s birdhouse is 16 inches x 20 inches x 18 inches = 5,760 cubic inches. The difference between the two birdhouses is 6,912 cubic inches – 5,760 cubic inches = 1,152 cubic inches. The answer is 1152.
Q: Due to the restrictions of Coronavirus, Mr. Trent, the local store owner, increased the prices of goods at his store by 15% each to make the same income he was making before. If buying an orange was $40 and the price of purchasing a mango was $50, calculate how much it costs in total now to buy ten oranges and ten mangoes at the new prices.
A: If the initial price of orange was $40, after the increase, the price rose by 15 / 100 * $40 = $6. The total price of buying an orange at the new price is $6 + $40 = $46. For the mango, the price increased by 15 / 100 * $50 = 7.5. The price of purchasing a mango at the new price is $50 + $7.5 = 57.5. To buy ten oranges it would cost $46 * 10 = $460. To buy 10 mangoes, it now costs $57.5 * 10 = $575. The total cost of buying ten oranges and ten mangoes is $575 + $460 = $1035. The answer is 1035.
Question: The sum of Mario and Maria's ages now is 7. Mario is 1 year older than Maria. How old is Mario?
Answer:
If x is Maria's age, then Mario's age is x + 1. The equation that represents the sum of their ages is x + x + 1 = 7. By combining like terms, the equation becomes 2x = 6. Hence, the value of x which represents the age of Maria is 6 / 2 = 3. So Mariu is 3 + 1 = 4 years old. The answer is 4.