Question: A store decides to shut down and sell all of its inventory. They have 2000 different items which would normally retail for $50. They are offering an 80% discount and manage to sell 90% of the items. They owed $15000 to their creditors. How much money do they have left after the sale?
Answer: They sold 2000 * .9 = 1800 items. They offered a 50 * .8 = $40 discount. That means that each item sold for 50 - 40 = $10. So they made 1800 * 10 = $18,000. So they had 18,000 - 15,000 = $3,000 leftover. The answer is 3000.
[Question]If a rectangle has a width of 42 inches and an area of 1638, how many rectangles of the same size would reach a length of 390 inches?
[Answer]The rectangle has a length of 1638 in / 42in = 39 in. The number of rectangles required to reach 390 inches is 390 / 39 = 10 rectangles. The answer is 10.
Q: A house’s living room, dining room and kitchen take up 1,000 sq ft. The house also has a guest bedroom and a master bedroom suite. If the guest bedroom is a quarter of the size of the master bedroom suite, and the house is 2,300 sq ft total, how large is the master bedroom suite?
A: The house is 2,300 sq ft and we know the non - bedroom sections take up 1,000 sq ft, so that leaves 2300 - 1000 = 1,300 sq ft for the bedrooms / bathrooms. Let x be the size of the master bedroom suite. Then the guest bedroom is 0.25x. So together the bedrooms are x + 0.25x = 1.25x in size. This means 1.25x = 1300. So x = 1300 / 1.25 = 1040 sq ft. The answer is 1040.
Question: John took a test with 80 questions. For the first 40 questions, she got 90% right. For the next 40 questions, she gets 95% right. How many total questions does she get right?
Answer: He gets 40 * .9 = 36 questions right for the first part. For the second part, he gets 40 * .95 = 38 questions right. So he gets a total of 36 + 38 = 74 questions right. The answer is 74.
[Question]A small zoo houses a variety of 68 wild animals. After they send a gorilla family of six to a different zoo, they adopt a hippopotamus from another zoo. A while later, an animal rescue contacted them, and the zoo took in three endangered rhinos. Then one of their lionesses gave birth to cubs, and they opened a meerkat exhibit with twice as many meerkats as they had gained lion cubs. The zoo then had 90 animals in all. How many lion cubs were born at the zoo?
[Answer]Let C be the number of lion cubs. There are 2C meerkats in the new exhibit. The zoo sent 4 gorillas away, so they had 68 - 6 = 62 animals left. They adopted a hippopotamus, so they had 62 + 1 = 63 animals. They took in 3 rhinos, so they had 63 + 3 = 66 animals. Thus, they had 90 - 66 = 24 new lion cubs and meerkats. Therefore, they had C + 2C = 3C = 24 new lion cubs as meerkats. Hence, there were C = 24 / 3 = 8 lion cubs born. The answer is 8.
[Question]Emily spent X dollars on Friday, twice that amount on Saturday, and then three times X on Sunday. Over the three days, she spent $120. What is the value of X, in dollars?
[Answer]
She spent X dollars on Friday. She spent 2X dollars on Saturday. She spent 3X dollars on Sunday. X + 2X + 3X = 120. 6X = 120. X = 20. The answer is 20.