Rich likes to take long walks through town. First he walks 20 feet from his house to the sidewalk. Then he walks 200 feet down the sidewalk to the end of the road. Then he makes a left and walks double his total distance so far until he reaches the next intersection. Then he walks half the total distance up to this point again to the end of his route, before turning around and walking the same path all the way back home. How many feet did Rich walk?
Rich walks 20+200=
<<20+200=220>>220 feet to get to the end of the road. He then walks double that distance, 220*2= <<220*2=440>>440 feet to the next intersection. This makes a total of 220+440= <<220+440=660>>660 feet. He then walks half that distance, 660/2= <<660/2=330>>330 feet to get to the end of his route. This makes a total of 660+330=<<660+330=990>>990 feet so far. He then walks that same distance back, for a total of 990*2= <<990*2=1980>>1980 feet in total. #### 1980 Allie, Rob, and Allyn each bought a bowl of grapes. Allie's bowl contained two more grapes than Rob's bowl. Allyn's bowl contained four more grapes than Allie's bowl. If Rob's bowl contained 25 grapes, what is the total combined number of grapes in all three bowls? If Allie's bowl contained two more grapes than Rob's bowl, there were 25+2=<<25+2=27>>27 grapes in Allie's bowl. If Allyn's bowl contained four more grapes than Allie's bowl, there were 27+4=<<27+4=31>>31 grapes in Allyn's bowl. The total combined number of grapes in all three bowls is 25+27+31=<<25+27+31=83>>83 grapes. #### 83 Eric decides to go to the park. He runs for 20 minutes, then jogs for 10 minutes to reach the park. When he returns, he takes a different route home and this takes him 3 times as long as his trip there. How long does it take Eric to return home? Eric’s trip to the park took 20 minutes running + 10 minutes jogging = <<20+10=30>>30 minutes. So his return trip took 30 minutes * 3 = <<30*3=90>>90 minutes. #### 90 A basketball team won 35 out of the 50 games that they have played. They still have 25 games left to play for the season. How many of the remaining games must they win so that their percentage of wins in the entire season is 64%? There are a total of 50 + 25 = <<50+25=75>>75 games in the entire season. Sixty-four percent of these games is 75 x 64/100 = 48. Since they already won 35, then the team needs to win 48 - 35 = <<48-35=13>>13 more games. #### 13 There are 32 students in a statistics course. 25 percent of the class received an A. 1/4 of the remaining students got either a B or C, and the rest of the students failed. How many students failed? A grade:32(.25)=8 32-8=<<32-8=24>>24 students remaining B/C grade:24/4=<<24/4=6>>6 24-6=<<24-6=18>>18 students fail #### 18 Bart fills out surveys to earn money. He receives $0.2 for every question he answers in the survey. Each survey has 10 questions. On Monday he finished 3 surveys, and on Tuesday 4 surveys. How much money did he earn during these two days? On Monday and Tuesday Bart finished 3 + 4 = <<3+4=7>>7 surveys. Each survey has 10 questions, so he answered 10 * 7 = <<10*7=70>>70 questions. Bart gets paid $0.2 for each questions, so he earned 70 * $0.2 = $<<70*0.2=14>>14. #### 14 A blind cave scorpion survives by catching millipedes. It needs to eat lots of millipedes to survive: a total of 800 body segments every day. If it's already eaten one millipede with 60 segments and 2 millipedes that are twice as long, how many 50-segment millipedes does it need to eat to reach its daily total? First, the number of segments in the 2 millipedes that are twice as long is 60 segments * 2 = <<60*2=120>>120 segments. Then one can multiply the segments by the 2 millipedes to find the total number of segments: 120 segments/millipede * 2 millipedes = <<120*2=240>>240 segments. In total, we then find the scorpion has eaten one 60-segment millipede in addition to the 3 millipedes above for a total of 60 + 240 = <<60+240=300>>300 segments. So, the number of segments it still needs to eat are : 800 segments - 300 segments = <<800-300=500>>500 segments Thus, it needs to eat an additional 500 segments / 50 segments/millipede = <<500/50=10>>10 millipedes. #### 10 John ends up serving on jury duty. Jury selection takes 2 days. The trial itself lasts 4 times as long as jury selection It is a complicated trial. The number of hours spent in jury deliberation was the equivalent of 6 full days. They spend 16 hours a day in deliberation. How many days does John spend on jury duty? Deliberation ended up taking 6 * 24 = <<6*24=144>>144 hours That means they spent 144 / 16 = <<144/16=9>>9 days in deliberation The trial lasted 2 * 4 = <<2*4=8>>8 days So he spent 2 + 8 + 9 = <<2+8+9=19>>19 days on jury duty #### 19 Percy swims 1 hour before school and 1 after school 5 days a week. He swims 3 hours on the weekend. How many hours of swimming does he do over 4 weeks? He swims 1 hour before and after school for a total of 1+1 = <<1+1=2>>2 hours He swims 2 hours a day for 5 days for a total of 2*5 = <<2*5=10>>10 hours He also swims an additional 3 hours on the weekend so 10+3 = <<10+3=13>>13 hours Over a course of 4 weeks, at 13 hours per week, he swims 4*13 = <<4*13=52>>52 hours #### 52 Arnold's collagen powder has 18 grams of protein for every 2 scoops. His protein powder has 21 grams of protein per scoop. And his steak has 56 grams of protein. If he has 1 scoop of collagen powder, 1 scoop of protein powder and his steak, how many grams of protein will he consume? 2 scoops of collagen powder have 18 grams of protein and he only has 1 scoop so he consumes 18/2 = <<18/2=9>>9 grams of protein He has 9 grams collagen powder, 21 grams of protein powder and 56 grams in his steak for a total of 9+21+56 = <<9+21+56=86>>86 grams of protein #### 86