[Question]A mother duck as 8 ducklings. The first 3 ducklings find 5 snails each. Another 3 ducklings find 9 snails each, and the remaining ducklings each find half the number of snails that mother duck finds. If mother duck finds tree times the total number of snails as the first 2 groups of ducklings, how many snails does the family of ducks have collectively?
[Answer]The first 3 ducklings find 3 x 5 = 15 snails. The next 3 ducklings find 3 x 9 = 27 snails. They find a total of 15 + 27 = 42 snails. Mother duck finds 42 x 3 = 126 snails. The last group has 8 - 3 - 3 = 2 ducklings. They find 126 / 2 = 63 snails each. The family of ducks found a total of 42 + 126 + 63 + 63 = 294 snails. The answer is 294.
Q: Max works for a delivery company as a courier. During one working day, he can deliver a maximum of 35 packages. One week, Max delivered the maximum number of packages, only twice. On two other days, Max unloaded a total of 50 packages, and on one day he unloaded only one-seventh of the maximum possible daily performance. On the last two days, the sum of the packages transported was only fourth-fifth of the maximum daily performance. How many more packages could Max deliver during that week, if he would work at maximum performance?
A: Max can deliver a maximum of 35 * 7 = 245 packages in one week. For two days Max has carried the maximum number of packages, which in total means 2 * 35 = 70 packages. One day Max has carried only 1 / 7 of the maximum capacity, that is 1 / 7 * 35 = 5 packages. On two other days, Max delivered only 4 / 5 * 35 = 28 packages. That means, Max could deliver 245 - 28 - 5 - 70 - 50 = 92 more packages. The answer is 92.
Question: Harry is joining a marathon that's why he practices and varies his workouts from day to day. He ran 10 meters per hour on Monday. From Tuesday to Thursday he ran 50% faster than on Monday. Then on Friday, he ran 60% faster than he ran on Thursday. How fast did Harry run on Friday?
Answer: Harry ran 10 x 50 / 100 = 5 meters per hour faster on Tuesday to Wednesday. So he ran 10 + 5 = 15 meters per hour from Tuesday to Thursday. Then on Friday, he ran 15 x 60 / 100 = 9 meters per hour more. Therefore, he ran 15 + 9 = 24 meters per hour on Friday. The answer is 24.
[Question]Selene buys two instant cameras at $110 and three digital photo frames at $120 each. She gets a 5% discount on all the items she purchased. How much does she pay in all?
[Answer]Two instant camera cost 2 x $110 = $220. Three digital photo frames cost 3 x $120 = $360. Thus, the total amount is $220 + $360 = $580. So, Selena gets a discount of 5 / 100 x 580 = $29. Therefore, Selena pays a total of $580 - $29 = $551. The answer is 551.
Q: Clinton buys a burger meal for lunch for $6.00 and up sizes his fries and drinks for $1.00 more. If Clinton buys this same meal every day for 5 days, how much does he spend on lunch?
A: The burger meal is $6.00 and to upsize the meal is $1.00 so 6 + 1 = $7.00. He spends $7.00 on lunch and after 5 days he spends 7 * 5 = $35.00. The answer is 35.
Question: Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
Answer:
Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets. The answer is 220.