Q: Baez has 25 marbles. She loses 20% of them one day. Then a friend sees her and gives her double the amount that Baez has after she lost them. How many marbles does Baez end up with?
A: She loses 5 marbles because 25 x .2 = 5. She has 20 marbles after this because 25 - 5 = 20. Her friend gives her 40 marbles because 20 x 2 = 40. Adding those marbles to the 20 she had before, she ends up with 40 marbles + 20 marbles = 60 marbles. The answer is 60.
Question: Joanna and Jacques had 40 and 60 gumballs, respectively, in their dishes. They then purchased 4 times the number of gumballs they had initially and added these to their dishes. If they decided to put together their gumballs and shared them equally, how many gumballs did each get?
Answer: When Joanna purchased 4 times the number of gumballs she initially had, she added 40 * 4 = 160 gumballs to her dish. The total number of gumballs Joanna had in her dish after buying 160 more is 160 + 40 = 200. At the same time, Jacques bought 60 * 4 = 240 new gumballs. When Jacques added his new 240 gumballs to his dish, the total number of gumballs increased to 240 + 60 = 300 gumballs. When they decided to put together their gumballs, they had 300 + 200 = 500 gumballs altogether. After sharing equally, each person got 500 / 2 = 250 gumballs. The answer is 250.
[Question]Natalie's father has saved up $10,000 to split up between his kids. Natalie will get half, as she is the oldest. Rick will get 60 percent of the remaining money, and Lucy will get whatever is left after Natilie and Rick get paid. How much money does Lucy get?
[Answer]Natalie: 10000 / 2 = 5000$. 10000 - 5000 = 5000. Rick:5000(.60) = 3000$. 5000 - 3000 = 2000$ left for Lucy. The answer is 2000.
Q: Rajesh walked 10 kilometers less than 4 times the distance that Hiro walked. Together they walked 25 kilometers. How many kilometers did Rajesh walk?
A: Let H = distance Hiro walked. 4H - 10 = distance Rajesh walked. H + 4H - 10 = 25. 5H - 10 = 25. 5H = 35. Hiro walked 7 km so Rajesh walked 4(7) - 10 = 18 km. Rajesh walked 18 kilometers. The answer is 18.
Question: Lucia is a dancer. She takes 2 hip-hop classes a week, 2 ballet classes a week, and 1 jazz class a week. One hip-hop class costs $10. One ballet class costs $12, and one jazz class costs $8. What is the total cost of Lucia’s dance classes in one week?
Answer: The total cost of the hip - hop classes is 2 * $10 = $20. The total cost of the ballet classes is 2 * $12 = $24. The total cost of the jazz class is 1 * $8 = $8. The total cost of all of Lucia’s dance classes in one week is $20 + $24 + $8 = $52. The answer is 52.
Q: After shearing her 200 sheep, Azalea paid the shearer who had come to help her with the work $2000 for his job. Each of the sheared sheep produced 10 pounds of wool. If Ms. Azalea sold a pound of wool at $20, how much profit did she make from the produce of her sheep farm?
A:
Since there were 200 sheep, the amount of wool Azalea got after the shearing of the sheep is 200 * 10 = 2000 pounds of wool. If she sold one pound of wool at $20, the total amount of money she made from the sheep farm is 2000 * $20 = $40000. Her profit, which is $2000 less the amount of money she paid to the shearer, is $40000 - $2000 = 38000. The answer is 38000.