Question: Wanda weighs 30 pounds more than Yola currently. Wanda also weighs 80 pounds more than Yola did 2 years ago. How much did Yola weigh 2 years ago if she currently weighs 220 pounds?
Answer: If Yola currently weighs 220 pounds, then Wanda, who weighs 30 pounds more than Yola, weighs 220 + 30 = 250 pounds. Wanda also weighs 80 pounds more than Yola did 2 years ago, meaning Yola weighed 250 - 80 = 170 pounds 2 years ago. The answer is 170.
[Question]Madison takes her dog to the dog park. Counting Madison's dog, half the dogs have spots and 1/5 have pointy ears. If 15 dogs have spots, how many have pointy ears?
[Answer]First double the number of dogs with spots to find the total number of dogs: 15 dogs * 2 = 30 dogs. Then multiply that number by 1 / 5 to find the number that have pointy ears: 30 dogs * 1 / 5 = 6 dogs. The answer is 6.
Q: A publishing house decides to create a contest for new writers and will award a total of $800 in prizes to the 18 novels with the most votes. First place will get $200, second place will get $150, third place $120 and the rest of the awards will be paid with the same amount of money. How much money will each writer earn from fourth place onwards?
A: The first three cash prizes sum to $200 + $150 + $120 = $470. The remaining amount of cash prizes to be distributed is $800 - $470 = $330. The number of novels left to be awarded is 18 – 3 = 15 novels. So each writer from 4th to 18th will earn $330 / 15 = $22. The answer is 22.
Question: James has 7 more than 4 times the number of Oreos Jordan has. If there are 52 Oreos total, how many does James have?
Answer: Let x be the number of Oreos Jordan has. James has 7 + 4x Oreos. Total: 7 + 4x + x = 52. 5x + 7 = 52. 5x = 45. x = 9. James has 7 + 4(9) = 43 Oreos. The answer is 43.
[Question]Martin is organizing a party, and he invited many of his colleagues. He invited 5 people from his hometown and twice as many people from his school. Martin invited also as many people from his sports club as the sum of people invited from his hometown and his school. The remaining invitations represent 20% of the total previously mentioned. How many people can potentially come to the party Martin is organizing?
[Answer]Martin invited 5 * 2 = 10 people from his school. People from the sports club got 5 + 10 = 15 invitations. So in total from the sports club, hometown and school, Martin invited 5 + 10 + 15 = 30 people. All other invitations are 20% of the previous total, which means 20 / 100 * 30 = 6. That means Martin invited to his party 30 + 6 = 36 people. The answer is 36.
[Question]Jean has three times as much money as Jane. They have a combined total of $76. How much money does Jean have?
[Answer]
Let's assume the total amount of money that Jane has is m. Since Jean has 3 times as much money as Jane, he has 3 * m = 3m. Combined, Jean and Jane have a total of m + 3m = $76. This evaluates to 4m = $76. The total amount of money that Jane has, represented by m, is m = $76 / 4. Jane has m = $19. Since Jean has three times as much money as Jane, Jean has 3 * $19 = $57. The answer is 57.