Q: Erica sees 9 butterflies in the garden. She sees one-third of them fly away. How many butterflies are left in the garden?
A: Erica sees 9 / 3 = 3 butterflies fly away. There are 9 - 3 = 6 butterflies still left in the garden. The answer is 6.
Question: A new edition Geometry book has 450 pages which are 230 pages less than twice as many pages as the old edition. How many pages did the old edition Geometry book have?
Answer: Let x be the number of pages of the old edition Geometry book. The new edition Geometry book has 2x - 230 = 450 pages. 2x = 450 + 230. 2x = 680. x = 340 pages. The answer is 340.
[Question]Billy and George are picking dandelions. At first, Billy picks 36 and then George picks 1/3 as many as Billy. When they see the pile, they each decide to pick 10 more each. How many have they picked on average?
[Answer]George picked at first 12 because 36 / 3 = 12. George picks 22 by the end because 12 + 10 = 22. Billy picks 66 by the end because 36 + 10 = 46. In total they picked 68 because 22 + 46 = 68. On average they picked 34 because 68 / 2 = 34. The answer is 34.
Q: Alexander draws 9 pictures for an exhibition at a gallery. 5 new galleries also want Alexander to draw for them, so he draws pictures for their exhibitions too. Each of these new galleries receives the same amount of pictures. For each picture, Alexander needs 4 pencils. For each exhibition, he needs another 2 pencils for signing his signature on the pictures. If Alexander uses 88 pencils on drawing and signing his pictures for all of the exhibitions, how many paintings are at each of the 5 new galleries?
A: Alexander has sent pictures to a total of 1 original gallery + 5 new galleries = 6 galleries. For signatures, he has used a total of 6 galleries * 2 pencils per gallery = 12 pencils. So of the pencils that he used, 88 total pencils 12 signature pencils = 76 pencils for drawings. At the first gallery, he used 9 pictures * 4 pencils per picture = 36 pencils. So in the new galleries, he used 76 total pencils for drawings 36 pencils at the first gallery = 40 pencils. The new galleries received a total of 40 pencils / 4 pencils per picture = 10 pictures. As the new galleries all receive equal amounts of pictures, each gallery must have 10 pictures / 5 galleries = 2 pictures per gallery. The answer is 2.
Question: Jaco wants to buy Christmas gifts for his 8 friends that are worth $9 each. Also, he wants to buy gifts for his mother and father that are of the same amount. He has a $100 budget to buy all gifts. How much is Jaco's budget for each of his mother and father's gift?
Answer: Jaco will spend a total of $9 x 8 = $72 for his 8 friends' gifts. He will be left with $100 - $72 = $28 for his mother and father's gift. So, Jaco's budget for each of his mother and father's gift is $28 / 2 = $14. The answer is 14.
Q: The doctor told Barry to take vitamin D3 for 180 days to help protect him from infections. The pharmacy only sold vitamin D3 in bottles containing 60 capsules, with a daily serving size of 2 capsules. How many bottles would Barry need to buy to have enough servings to last for 180 days?
A:
If each serving size is 2 capsules, a 60 - capsule bottle of vitamin D3 would contain 60 / 2 = 30 servings. Using 30 - serving bottles, to last 180 days, it would take 180 / 30 = 6 bottles of vitamin D3. The answer is 6.