[Question]Mary tried to improve her health by changing her diet, but her weight bounced like a yo-yo. At first, she dropped a dozen pounds. Then, she added back twice the weight that she initially lost. Then, she dropped three times more weight than she initially had lost. But finally, she gained back half of a dozen pounds. If she weighed 99 pounds at the start of her change in diet, what was her final weight, in pounds?
[Answer]Since Mary first weighed 99 pounds, after she dropped a dozen pounds she weighed 99 - 12 = 87 pounds. Twice the weight she initially lost is 12 * 2 = 24 pounds. So, when she added back twice the weight that she initially lost, her weight jumped to 87 + 24 = 111 pounds. Three times more than she initially had lost is 12 * 3 = 36 pounds. Therefore, when Mary lost 3 times more than she initially lost, her weight dropped to 111 - 36 = 75 pounds. Finally, when Mary gained back half of a dozen pounds, her final weight was 75 + 6 = 81 pounds. The answer is 81.
Q: Regina has a farm with animals. She has 20 cows and four times more pigs. Someone told her, that she could sell all the animals and earn $400 for each pig and $800 for each cow. How much money would she earn if she would sell all the animals from the farm?
A: Regina has 4 pigs / cow * 20 cows = 80 pigs. She could sell the pigs for 80 pigs * $400 / pig = $32000. For the cows Regina would get 20 cows * $800 / cow = $16000. In total Regina would earn $16000 + $32000 = $48000. The answer is 48000.
Question: Elroy decides to enter a walk-a-thon and wants to make sure he ties last year's winner's cash collection. Last year, walkers earned $4 a mile. This year walkers earn $2.75 a mile. If last year's winner collected $44, how many more miles will Elroy walk than last year's winner to collect the same amount of money?
Answer: Last year's winner walked 11 miles because 44 / 4 = 11. Elroy has to walk 16 miles to collect $44 because 44 / 2.75 = 16. Elroy will walk 5 more miles because 16 - 11 = 5. The answer is 5.
[Question]20% of the vets in a state recommend Puppy Kibble. 30% recommend Yummy Dog Kibble. If there are 1000 vets in the state, how many more recommend Yummy Dog Kibble than Puppy Kibble?
[Answer]The number of vets that recommend Puppy Kibble is 1000 * .2 = 200. The number of vets that recommend Yummy Dog Kibble is 1000 * .3 = 300 vets. Thus, 300 - 200 = 100 more vets recommend Yummy Dog Kibble than Puppy Kibble. The answer is 100.
Q: 3 cloves of garlic can repel 2 vampires, 8 vampire bats or 3 wights. How many cloves of garlic are needed to repel 30 vampires, 12 wights and 40 vampire bats?
A: First find the total number of cloves needed to repel the vampires: 30 vampires * 3 cloves / 2 vampires = 45 cloves. Then find the total number of cloves needed to repel the wights: 12 wights * 3 cloves / 3 wights = 12 cloves. Then find the total number of cloves needed to repel the vampire bats: 40 vampire bats * 3 cloves / 8 vampire bats = 15 cloves. Then add up these three amounts to find the total number of cloves needed: 45 cloves + 12 cloves + 15 cloves = 72 cloves. The answer is 72.
Question: Mrs. Carlton gives out penalty points whenever her students misbehave. They get 5 points for interrupting, 10 points for insulting their classmates, and 25 points for throwing things. If they get 100 points, they have to go to the office. Jerry already interrupted twice and insulted his classmates 4 times. How many times can he throw things before he gets sent to the office?
Answer:
For interrupting, Jerry got 5 points per interruption * 2 interruptions = 10 points. For insulting, he got 10 points per insult * 4 insults = 40 points. To get to the 100 limit points, Jerry has 100 points - 10 points - 40 points = 50 points left. He still has 50 points / 25 points per throw = 2 throws. The answer is 2.