Question: John works 12 hours every other day. He gets a 30% raise from his former $20 an hour job. How much does he make in a 30 day month?
Answer: He works 30 / 2 = 15 days. So he works 15 * 12 = 180 hours in the month. He got a 20 * .3 = $6 an hour raise. So he gets paid 20 + 6 = $26 an hour. That means he makes 26 * 180 = $4680. The answer is 4680.
[Question]Frank's laundry detergent is double concentrated and will wash 80 loads of laundry. His detergent is usually $25.00 a bottle but they're having a sale. If he buys 2 bottles, both bottles will drop to $20.00 a bottle. How much does he spend, in cents, per load of laundry, if he buys 2 bottles of detergent?
[Answer]If he buys 2 bottles, the price drops to $20.00 per bottle so they cost 2 * 20 = $40.00. He can get 80 loads of laundry per bottle and he bought 2 bottles so that's 80 * 2 = 160 loads of laundry. The detergent cost $40.00 and he will be able to wash 160 loads of laundry so each load costs 40 / 160 = $0.25. The answer is 25.
Q: Last month, a factory made 12000 dolls and their associated accessories. The accessories for each doll included 2 shoes, 3 bags, 1 set of cosmetics, and 5 hats. If each doll took 45 seconds to make and each accessory took 10 seconds to make, what was the total combined machine operation time, in seconds, required to manufacture all of the dolls and their accessories?
A: The number of shoes the factory made was 12000 dolls x 2 shoes / doll = 24000 shoes. The factory also made for each doll 12000 dolls x 3 bags / doll = 36000 bags. The set of cosmetics made for each doll was just one, so there are 12000 cosmetics sets. Finally, the number of hats for the dolls was 12000 dolls x 5 hats / doll = 60000 hats. In total, the number of accessories was 24000 + 36000 + 12000 + 60000 = 132000 accessories. The dolls took in total 12000 dolls x 45 seconds / doll = 540000 seconds to be made. All the accessories also took 132000 accessories x 10 seconds / accessory = 1320000 seconds. Combing both results, we have that the total time the machinery was working was 1320000 + 540000 = 1860000 seconds. The answer is 1860000.
Question: Sami finds 3 spiders in the playground. Hunter sees 12 ants climbing the wall. Ming discovers 8 ladybugs in the sandbox, and watches 2 of them fly away. How many insects are remaining in the playground?
Answer: The children find 3 + 12 + 8 = 23 insects. After the ladybugs fly away, there are 23 - 2 = 21 insects. The answer is 21.
[Question]James has a small tree outside his window with 30 branches with 90 twigs per branch. 30% of the twigs sprout 4 leaves and the rest sprout 5 leaves. How many leaves are on the tree total?
[Answer]First find the total number of twigs on the tree: 30 branches * 90 twigs / branch = 2700 twigs. Then multiply that number by 30% to find how many twigs have 4 leaves: 2700 twigs * 30% = 810 twigs. Then subtract that number from the total number of twigs to find how many have 5 leaves: 2700 twigs - 810 twigs = 1890 twigs. Then multiply that number by 5 to find the number of leaves on the 5 - leaved twigs: 1890 twigs * 5 leaves / twig = 9450 leaves. Then multiply the number of 4 - leaved twigs by 4 to find the total number of leaves they have: 810 twigs * 4 leaves / twig = 3240 leaves. Then add the two groups of leaves to find the total number of leaves: 9450 leaves + 3240 leaves = 12690 leaves. The answer is 12690.
[Question]A big snowstorm caused a large amount of snow to fall onto Grandpa's farm, and the wind caused the snow to pile up into a drift. But on the second day, it warmed up enough that half of the snowdrift melted. The third day, it snowed again, adding another 6 inches of snow onto the snowdrift. On the fourth day, another 18 inches of snow fell onto the snowdrift. If the snowdrift was 34 inches deep at the end of the fourth day, how deep in inches was the drift at the end of the first day?
[Answer]
The third and fourth day contributed 6 + 18 = 24 inches to the depth of the snowdrift. Therefore, the size of the snowdrift after half was melted on the second day, but before the snowfall on the third and fourth day, was 34 - 24 = 10 inches. If the size of the drift on the second day, after half of the snow had melted, was 10 inches, then the depth of the original drift created on day 1 was 2 * 10 = 20 inches deep. The answer is 20.