A YouTube video is 100 hours long. Lila decides to watch it at two times the average speed. Roger, her friend, also watch the same video at the average speed. If they both watched six of the same videos, what's the total number of hours they watched?

How many hours does Lila watch the video at twice the normal speed? ** When Lila watches the video at twice the normal speed, the video takes 100/2 =

<<100/2=50>>50 hours. How many hours does Lila watch the video in total? ** When she watches six such videos, the total number of video hours becomes 50*6 = <<50*6=300>>300 hours. How many hours does Roger watch the video in total? ** Roger, her friend, watches 6 videos at the normal speed, which is 6*100 = <<6*100=600>>600 video hours. What is the total number of hours Lila and Roger watched? ** The total number of hours watched by the two is 600+300 = <<600+300=900>>900 hours. #### 900 As a freelancer, Katherine takes 20 hours to develop a website for her clients. Her junior, Naomi, takes 1/4 times more time to complete creating a similar website. If many clients required her to build their websites in a particular year, and she gave her junior 30 websites to develop, calculate the total number of hours Katherine's junior took to create the 30 websites. How many hours does Naomi take to build a similar website? ** Katherine's junior takes 1/4*20 = <<1/4*20=5>>5 more hours to build a similar website as Katherine. How many hours does Naomi take to build a website? ** The total number of hours Katherine's junior takes to build a website is 20+5 = <<20+5=25>>25 hours. How many hours did Naomi spend on building the 30 websites? ** If Katherine gave her junior 30 websites to build, her junior spent 30*25 = <<30*25=750>>750 hours on building the 30 websites. #### 750 George collected 50 marbles in white, yellow, green, and red. Half of them are white, and 12 are yellow. There are 50% fewer green balls than yellow balls. How many marbles are red? How many white marbles are there? ** Half of the marbles are white, so there are 50 / 2 = <<50/2=25>>25 white marbles. How many green marbles are there? ** Green marbles are only 50% as many as yellow marbles, so there are 50/100 * 12 = <<50/100*12=6>>6 green marbles. How many marbles are there? ** So currently we know that we have 25 + 12 + 6 = <<25+12+6=43>>43 marbles. How many red marbles are there? ** The rest are red, so there are 50 - 43 = <<50-43=7>>7 red marbles. #### 7 A pole is 20 meters long. It got cut in a way that left it 30% shorter. How long is the pole? How long is the cut-away part of the pole? ** The cut-away part of the pole is 30/100 * 20 = <<30/100*20=6>>6 meters long. How long is the pole after the cut? ** So the pole is left at the length of 20 - 6 = <<20-6=14>>14 meters. #### 14 Jamie is in a walking group with 4 other ladies. The ladies all walk 3 miles together. On top of that, Jamie walks an additional 2 miles per day for 6 days while her friend Sue walks half that amount in 6 days. If they walk this same route 6 days a week, how many miles do the ladies walk in total? How many miles do the ladies walk in total? ** There are 5 ladies total in the group. They all walk 3 miles a day for 6 days so 3*6 = 18 miles How many miles does Jamie walk in total? ** Jamie walks an additional 2 miles per day for 6 days so 2*6 = <<2*6=12>>12 miles How many miles does Sue walk in total? ** Sue walks half the distance of Jamie so 12/2 = <<12/2=6>>6 miles How many miles do the ladies walk in total? ** Together, the ladies walk 18+12+6 = <<18+12+6=36>>36 miles #### 36 Brenda volunteered to make 3 trays of banana pudding for the family reunion. Each tray of banana pudding would need 80 wafer cookies. A box of wafer cookies only had 60 cookies per box. Each box costs $3.50. How much will it cost her to buy just enough boxes for 3 trays of banana pudding? How many cookies are needed for each tray? ** Every tray needs 80 cookies and she's making 3 trays so 8*3 = <<80*3=240>>240 How many boxes of cookies does she need? ** Every box of cookies has 60 cookies. She needs 240 cookies so 240/60 = <<240/60=4>>4 boxes How much will the boxes cost? ** The boxes cost $3.50 each and she needs 4 boxes so 3.50*4 = $<<3.50*4=14.00>>14.00 #### 14 In mid-May, the depth of a river in Moreland is measured. By mid-June, the river is 10 feet deeper than mid-May. By mid-July, the river is three times deeper than mid-June. If the river is 45 feet deep in mid-July, how many feet deep was the river in mid-May? How deep is the river in mid-June? ** In mid-June, the river is 45/3=<<45/3=15>>15 feet deep. How deep was the river in mid-May? ** In mid-May, the river was 15-10=<<15-10=5>>5 feet deep. #### 5 Bill is trying to decide whether to make blueberry muffins or raspberry muffins. Blueberries cost $5.00 per 6 ounce carton and raspberries cost $3.00 per 8 ounce carton. If Bill is going to make 4 batches of muffins, and each batch takes 12 ounces of fruit, how much money would he save by using raspberries instead of blueberries? How many ounces of fruit will Bill need? ** First find how many ounces of fruit Bill will need total: 12 ounces/batch * 4 batches = <<12*4=48>>48 ounces How many cartons of blueberries would Bill need? ** Then find how many cartons of blueberries Bill would need: 48 ounces / 6 ounces/carton = <<48/6=8>>8 cartons How much would the blueberries cost? ** Then multiply that number by the cost per carton to find the total cost of the blueberries: 8 cartons * $5/carton = $<<8*5=40>>40 How many cartons of raspberries would Bill need? ** Then find how many cartons of raspberries Bill would need: 48 ounces / 8 ounces/carton = <<48/8=6>>6 cartons How much would the raspberries cost? ** Then multiply that number by the cost per carton to find the total cost of the raspberries: 6 cartons * $3/carton = $<<6*3=18>>18 How much would Bill save by using raspberries instead of blueberries? ** Then subtract the cost of the raspberries from the cost of the blueberries to find the difference: $40 - $18 = $<<40-18=22>>22 #### 22 Aitana and Jayda went to Silverlake Flea market to buy some handmade crafts. Aitana spent 2/5 times more money than Jayda at the market. If Jayda spent $400, calculate the total amount of money they spent together. How much more money did Aitana spend than Jayda? ** If Jayda spent $400 at the market, Aitana spent 2/5*400 = $160 more on handmade crafts. How much money did Aitana spend at the market? ** Since Aitana spent $160 more than Jayda at the market, she spent $400+$160 = $<<160+400=560>>560. How much money did Aitana and Jayda spend together? ** The total amount of money they spent together is $400+$560 = $<<400+560=960>>960 #### 960 Gretchen's local ice cream shop offers 100 different flavors. She was able to try a 1/4 of the flavors 2 years ago and double that amount last year. How many more flavors will she need to try this year to have tried all 100 flavors? How many flavors did Gretchen try 2 years ago? ** The shop offers 100 flavors and she tried 1/4 of the flavors so she had 100*.25 = <<100*.25=25>>25 flavors 2 years ago How many flavors did Gretchen try last year? ** Last year she ate double the amount from the previous year so she had 25*2 = <<25*2=50>>50 flavors How many flavors has Gretchen tried in total? ** 2 years ago she ate 25 flavors and last year she had 50 flavors so she has had 25+50 = <<25+50=75>>75 flavors How many more flavors will Gretchen need to try this year to have tried all 100 flavors? ** The shop offers 100 flavors and she has had 75 flavors so she still needs to try 100-75 = <<100-75=25>>25 flavors #### 25