[Question]The bowl of fruit contains apples, pears, and bananas. There are two more pears than apples, and three more bananas than pears. If the bowl contains 19 pieces of fruit, how many bananas does it contain?
[Answer]Let A be the number of apples. There are A + 2 pears. There are (A + 2) + 3 pears. Then A + (A + 2) + ((A + 2) + 3) = 19. 3A + 7 = 19. 3A = 12. A = 4. There are 4 apples. There are (4 + 2) + 3 = 9 bananas. The answer is 9.
Q: Jairus read 20 pages of the newspaper. Arniel read 2 more than twice the number of pages Jairus read. How many pages have they read altogether?
A: Twice the number of pages Jairus read is 20 x 2 = 40. Arniel read 40 + 2 = 42 pages of the newspaper. Jairus and Arniel read 20 + 42 = 62 pages altogether. The answer is 62.
Question: Archer caught eight fish from the lake to sell in the market. When he reached the market, he sold the fish faster than he had anticipated and decided to go back to the lake and catch more fish. He caught 12 more fish in the second round than he had caught earlier. The demand was even greater, and he had to close the day by catching 60% more fish than the number he had caught in the second round and sold all of them in the market. How many fish did he catch that day?
Answer: He caught 12 more fish in the second round than he had caught earlier, a total of 12 + 8 = 20 fish. The total number of fish he caught in the two rounds is 20 + 8 = 28. In the third round, Archer caught 60 / 100 * 20 = 12 fish which were 60% more fish than the number he had caught in the second round. This means he caught a total of 12 + 20 = 32 fish. Archer caught a total of 28 + 32 = 60 fish on that day. The answer is 60.
[Question]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?
[Answer]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.
Q: Michelle uses 40 beads in making a necklace. She uses 5 blue beads and 2 times as many red beads as blue beads. Then she uses the same number of white beads as the blue and red beads combined. If the rest of the beads she uses are silver, how many silver beads does she use?
A: Michelle uses 5 x 2 = 10 red beads. She uses 5 + 10 = 15 white beads. So she uses a total of 5 + 10 + 15 = 30 blue, red, and white beads. Therefore, she uses 40 - 30 = 10 silver beads. The answer is 10.
Question: Leah bought 3 boxes of birdseed. When she went to put them away, she discovered that she already had 5 boxes in the pantry. Her parrot eats 100 grams of seeds each week and her cockatiel eats 50 grams of seeds in a week. If each box of birdseed contains 225 grams, for how many weeks can she feed her birds without going back to the store?
Answer:
In a week, her birds eat a total of 100 grams + 50 grams = 150 grams of seed each week. Leah has a total of 3 + 5 = 8 boxes of birdseed. The boxes of birdseed contain a total of 8 * 225 grams = 1800 grams. This is enough birdseed to feed her pets for 1800 / 150 = 12 weeks. The answer is 12.