Helga works for a newspaper company. She can write 5 articles every 30 minutes, and she usually works 4 hours a day 5 days a week. If Helga worked an extra 2 hours last Thursday, and an extra 3 hours last Friday, how many articles was she able to write this week?

Helga writes 5 x 2 =

<<5*2=10>>10 articles per hour. And she can write 10 x 4 = <<10*4=40>>40 articles every 4 hours. So, the total number of articles she usually writes for a week is 40 x 5 = <<40*5=200>>200 articles. She was able to write 10 x 2 = <<10*2=20>>20 articles on her extra 2 hours last Thursday. And she was able to write 10 x 3 = <<10*3=30>>30 articles on her extra hour last Friday. So, the total number of articles she was able to write on her extra hours is 20 + 30= <<20+30=50>>50. Therefore, she was able to write a total of 200 + 50 = <<200+50=250>>250 this week. #### 250 Calvin and Phoebe each have 8 more pastries than Frank but only five less than Grace. If Grace has 30 pastries, calculate the total number of pastries that the four have? If Grace has 30 pastries, then both Phoebe and Calvin each have 30-5 = <<30-5=25>>25 pastries. The total number of pastries that Phoebe and Calvin have is 25+25 = <<25+25=50>>50 Together, Phoebe, Calvin, and Grace have 50+30 = <<50+30=80>>80 pastries. Since Calvin and Phoebe each have 8 more pastries than Frank, then Frank has 25-8 = <<25-8=17>>17 pastries. Altogether, the four have 17+80 = <<17+80=97>>97 pastries. #### 97 Rachel drinks 2 glasses of water on Sunday and 4 glasses of water on Monday. Then she drinks 3 glasses of water every day for the next 4 days. One glass of water is 10 ounces of water. If Rachel wants to drink a total of 220 ounces of water in the week (Sunday to Saturday), how many glasses of water should she drink on Saturday? From Sunday and Monday, Rachel drinks 2 + 4 = <<2+4=6>>6 glasses of water From Tuesday to Friday, Rachel drinks 3 * 4 = <<3*4=12>>12 glasses of water The total glasses of water she drinks from Sunday to Friday is 6 + 12 = <<6+12=18>>18 glasses of water The total ounces of water she drinks from Sunday to Friday is 18 * 10 = <<18*10=180>>180 ounces The ounces of water she should drink on Saturday is 220 - 180 = <<220-180=40>>40 ounces The glasses of water she should drink on Saturday is 40 / 10 = <<40/10=4>>4 glasses of water #### 4 The total number of books on four shelves, with 400 books each, is the same as the distance in miles that Karen bikes back to her home from the library. Calculate the total distance that Karen covers if she bikes from her home to the library and back. If each shelf has 400 books, then the four shelves have 4*400 = 1600 books. Since the total number of books on the shelves is the same as the distance that Karen bikes back home, biking to and from the library takes 1600+1600 = <<1600+1600=3200>>3200 miles #### 3200 Brett has 24 more blue marbles than red marbles. He has 5 times as many blue marbles as red marbles. How many red marbles does he have? Let x be the number of red marbles. 5*x=x+24 4*x=24 x=<<6=6>>6 #### 6 On a construction site, the Laker cement factory provided 500 bags of cement sold to Mr. Zander at $10 per bag. Mr. Zander also received twenty lorries of construction sand, each carrying 10 tons of sand, sold at $40 per ton. How much money did Mr. Zander pay for these construction materials? The total cost for the sand is 500*10 = $<<500*10=5000>>5000 Since each lorry was carrying 10 tons of sand, the twenty lorries carried 20*10 = <<20*10=200>>200 tons. At $40 per ton, Mr. Zander paid 200*$40 = $<<200*40=8000>>8000 for the sand that was delivered to his construction site. Altogether, Mr. Zander paid $8000+$5000 = $<<8000+5000=13000>>13000 for the delivered construction materials. #### 13000 Half of all the people in Nantucket will attend a planned meeting for a bowl game. There are 300 people in Nantucket, and the number of males going to the meeting is twice the number of females. How many females are going to the meeting? If half of the people in Nantucket are going to the planned meeting, then there are 1/2*300 = <<300*1/2=150>>150 people going to the meeting. If the number of males going to the meeting is twice the number of females, we'll assume the number of females is x and the number of males is 2x. We know that x+2x=150 Adding like terms produces 3x=150 After dividing both sides by 3, we have x = 150/3 = <<150/3=50>>50 The number of females attending the meeting is x = <<50=50>>50 #### 50 Mitchell has 30 pencils. He has 6 more pencils than Antonio. How many pencils does Mitchell and Antonio have together? Antonio has 30-6 = <<30-6=24>>24 pencils Antonio and Mitchell have 24+30 = <<24+30=54>>54 pencils together. #### 54 The population of Delaware is 974,000. A study showed that there are 673 cell phones per 1000 people in the state. How many cell phones are there in Delaware? There are 974000 / 1000 = <<974000/1000=974>>974 groups of 1000 people in the state. These groups will have 974 * 673 = <<974*673=655502>>655502 cell phones. #### 655502 Kirsty collects small models of animals. The last time she bought some, each one cost $0.45. She saves enough to buy 30 models, but when she goes to the shop, she finds out that the price had increased to $0.50. How many models can she buy now? Kirsty has 0.45 × 30 = $<<0.45*30=13.50>>13.50 to spare to buy her models. She can only buy 13.50 ÷ 0.50 = <<13.50/0.50=27>>27 models as the price of each individual model has increased. #### 27