Arthur knows that he needs to finish 800 pages of reading over the summer. He has read 80% of a 500-page book and 1/5 of a 1000 page book. How many more pages does he need to reach to meet his goal?

How many pages did Arthur read from the 500-page book? ** He read 400 pages from the 500 page book because 500 x .8 =

<<500*.8=400>>400 How many pages did Arthur read from the 1000-page book? ** He read 200 pages from the 1000 page book because 1000 x (1/5) = <<1000*(1/5)=200>>200 How many pages has Arthur read? ** He has read 600 pages in total. How many more pages does he need to reach to meet his goal? ** He needs to read 200 more pages to reach 800 pages because 800 - 600 = <<800-600=200>>200 #### 200 In a Volleyball competition, Lizzie was able to score 4 points. Nathalie's score is 3 more than Lizzie's score and Aimee's score is twice the score of Lizzie and Nathalie combined. The rest of the points were made by their teammates. If the whole team was able to score 50 points, how many points did their teammates make? How many points did Nathalie score? ** Nathalie's score is 4 + 3 = <<4+3=7>>7. How many points did Nathalie and Lizzie score together? ** And the total points of Nathalie and Lizzie when combined is 7+4= <<7+4=11>>11. How many points did Aimee score? ** So, the total score of Aimee is 11 x 2 = <<11*2=22>>22. How many points did Lizzie, Nathalie, and Aimee score together? ** Lizzie, Nathalie, and Aimee's total score is 22 + 11 = <<22+11=33>>33. How many points did their teammates make? ** Therefore, their teammates were able to score 50 - 33 = <<50-33=17>>17. #### 17 Jason drives past 3 convenience stores on his way to work. The distance between the first store and the second store is 6 miles. The distance between the second store and third store is 2/3rds longer than the distance between the first two stores. The distance from his house to the first store and the last store to work is the same, 4 miles. How long in miles is Jason's commute to work? How many miles is the distance between the second store and the third store? ** First find the additional distance between the second store and the third store: 6 miles * 2/3 = <<6*2/3=4>>4 miles How many miles is the distance between the second store and the third store? ** Then add that to the distance between the first two stores to find the total distance between the second and third stores: 4 miles + 6 miles = <<4+6=10>>10 miles How many miles is Jason's commute to work? ** Then add the distance between the first two stores, the distance from Jason's house to the first store, and the distance from the last store to work: 10 miles + 6 miles + 4 miles + 4 miles = <<10+6+4+4=24>>24 miles #### 24 Aleesia lost 1.5 pounds each week for 10 weeks. Alexei lost 2.5 pounds each week for 8 weeks. How many pounds did the two friends combine to lose? How many pounds did Aleesia lose total? ** Alessia = 1.5 * 10 = <<1.5*10=15>>15 pounds How many pounds did Alexei lose total? ** Alexei = 2.5 * 8 = <<2.5*8=20>>20 pounds How many pounds did the two friends combine to lose? ** 15 + 20 = <<15+20=35>>35 pounds How many pounds did the two friends combine to lose? ** Together they lost 35 pounds. #### 35 Kevin is a fruit vendor. He always sells a total of 50 crates of fruit per week. Last week he sold 13 crates of grapes, 20 crates of mangoes, and the rest were passion fruits. How many passion fruit crates did he sell? How many crates of grapes and mangoes did Kevin sell? ** Between grapes and mangoes, we have 13+20 =<<13+20=33>>33 crates. How many crates of passion fruit did Kevin sell? ** The remaining crates are passion fruits, so we have 50-33=<<50-33=17>>17 crates of passion fruit #### 17 Andy is checking to see if all the cars in the parking lot paid for their parking. 75% of the cars have valid tickets, and 1/5th that number have permanent parking passes. If there are 300 cars in the parking lot, how many people tried to park in the lot without paying? How many cars have valid tickets? ** First find how many cars have valid tickets: 75% * 300 cars = <<75*.01*300=225>>225 cars How many cars have parking passes? ** Then find the percentage of cars with parking passes: 75% / 5 = 15% How many cars have parking passes? ** Then multiply that number by the total number of cars to find the number with parking passes: 15% * 300 cars = <<15*.01*300=45>>45 cars How many cars are parked illegally? ** Then subtract all the cars with valid forms of parking to find the number parked illegally: 300 cars - 225 cars - 45 cars = <<300-225-45=30>>30 cars #### 30 My brother and I have thirty minutes to go to school, without being late. It takes us 15 minutes to arrive at the school gate, and another 6 minutes to get to the school building. How much time do we have to get to our room, without being late? How much time did we spend going to school? ** The total time we spent going to school is 15 minutes + 6 minutes = <<15+6=21>>21 minutes. How much time do we have left? ** We have 30 minutes - 21 minutes = <<30-21=9>>9 minutes left not to be late. #### 9 In Alaska the commercial Cod fishing season runs from January 1 - August 1 lasting exactly 7 months, or 213 days on a non-leap year. Two fishermen are competing against each other to see who can earn more profit. The first fisherman plans to catch fish at a steady rate of 3 per day for the entire season. The second fisherman is a novice who will need to start more slowly. He plans to catch only 1 fish per day during the first 30 days, 2 fish per day during the next 60 days, and then 4 fish per day during the remainder of the season. At the end of the season, how many more fish will be caught by the fisherman who catches the higher number of fish? How many fish will the first fisherman catch? ** The first fisherman will catch 3*213 = <<3*213=639>>639 fish during the season. How many fish will the second fisherman catch in the first 90 days? ** The second fisherman catch 1*30 + 2*60 = <<1*30+2*60=150>>150 fish during the first 90 days of the season. How many fish will the second fisherman catch in the remaining 123 days? ** Then, during the remaining 213 - 90 = 123 days of the season, the second fisherman will can an additional 4*123 = <<4*123=492>>492 fish. How many fish will the second fisherman catch? ** Thus, the second fisherman will catch a total of 150 + 492 = <<150+492=642>>642 fish. How many more fish will the second fisherman catch than the first fisherman? ** Therefore, the second fisherman will catch 642 - 639 = <<642-639=3>>3 more fish than the first fisherman at the end of the season. #### 3 Mama bird has 6 babies in the nest. She needs to feed each baby 3 worms a day. Papa bird caught 9 worms. If she caught 13 worms and had 2 stolen, how many more does she need to catch to feed them for 3 days? How many worms does mama bird need to catch each day? ** Each day, mama bird needs to catch 6 x 3 = <<6*3=18>>18 worms. How many worms does mama bird need to catch for 3 days? ** For 3 days, she needs 18 x 3 = <<18*3=54>>54 worms. How many worms does mama bird have? ** She already has 13 - 2 = <<13-2=11>>11 worms. How many worms do they have? ** With papa bird’s catch, they have 11 + 9 = <<11+9=20>>20 worms. How many more worms does mama bird need to catch to feed the babies for 3 days? ** To feed the babies for 3 days, she needs to catch 54 - 20 = <<54-20=34>>34 more worms. #### 34 Ephraim has two machines that make necklaces for his store. On Sunday the first machine made 45 necklaces. The second machine made 2.4 times as many necklaces as the first machine. How many necklaces were made in total on Sunday? How many necklaces did the second machine make? ** The second machine made 2.4 times as many necklaces as the first machine, so the second machine made 2.4 * 45 = <<2.4*45=108>>108 necklaces on Sunday. How many necklaces were made in total on Sunday? ** In total, 45 + 108 = <<45+108=153>>153 necklaces were made on Sunday. #### 153