The file, 90 megabytes in size, downloads at the rate of 5 megabytes per second for its first 60 megabytes, and then 10 megabytes per second thereafter. How long, in seconds, does it take to download entirely?
How many seconds do the first 60 megabytes take? ** The first 60 megabytes take 60/5=
<<60/5=12>>12 seconds. How many megabytes are remaining? ** There are 90-60=<<90-60=30>>30 remaining megabytes. How many seconds do the remaining megabytes take? ** The remaining 30 megabytes take 30/10=<<30/10=3>>3 seconds. How long, in seconds, does the file take to download entirely? ** And 12+3=<<12+3=15>>15 seconds. #### 15 Sam memorized six more digits of pi than Carlos memorized. Mina memorized six times as many digits of pi as Carlos memorized. If Mina memorized 24 digits of pi, how many digits did Sam memorize? How many digits of pi did Carlos memorize? ** Carlos memorized 24/6=<<24/6=4>>4 digits of pi. How many digits of pi did Sam memorize? ** Sam memorized 4+6=10 digits of pi. #### 10 On a school trip to the seashore, Alan and his friends collected shells. Alan collected four times as many shells as Ben did. Ben got a late start and only collected a third of what Laurie did. If Laurie collected 36 shells how many did Alan collect? How many shells did Ben collect? ** Ben collected 36/3=<<36/3=12>>12 shells How many shells did Alan collect? ** Alan collected 12*4=<<12*4=48>>48 shells #### 48 Gerald spends $100 a month on baseball supplies. His season is 4 months long. He wants to use the months he's not playing baseball to save up by raking, shoveling, and mowing lawns. He charges $10 for each. How many chores does he need to average a month to save up for his supplies? How much does he need to save up? ** He needs to save up $400 because 4 x 100 = <<4*100=400>>400 How many months does he have? ** He has 8 months to earn this money because 12 - 4 = <<12-4=8>>8 How much does he need to earn each month? ** He needs to earn $50 a month because 400 / 8 = <<400/8=50>>50 How many chores does he need to average a month to save up for his supplies? ** He needs to do 5 tasks a month because 50 / 10 = <<50/10=5>>5 #### 5 Ann is cutting fabric to make curtains. She cuts a 4 foot by 6 foot rectangle for the living room, and a 2 foot by 4 foot rectangle for the bedroom. If the bolt of fabric is 16 feet by 12 feet, how much fabric is left in square feet? How many square feet was the original bolt of fabric? ** First figure out how many square feet the original bolt of fabric was: 16 feet * 12 feet = <<16*12=192>>192 square feet How many square feet did Ann take for the living room curtains? ** Then figure out how much fabric Ann took for the living room curtains: 4 feet * 6 feet = <<4*6=24>>24 square feet How many square feet did Ann take for the bathroom curtains? ** Then figure out how much fabric Ann took for the bathroom curtains: 2 feet * 4 feet = <<2*4=8>>8 square feet How many square feet is left? ** Finally, subtract the square footage of both sets of curtains from the total square footage: 192 - 24 - 8 = <<192-24-8=160>>160 square feet #### 160 Arnel had ten boxes of pencils with the same number of pencils in each box. He kept ten pencils and shared the remaining pencils equally with his five friends. If his friends got eight pencils each, how many pencils are in each box? How many pencils did Arnel share with his friends? ** Arnel shared 5 x 8 = <<5*8=40>>40 pencils with his friends. How many pencils did Arnel have in total? ** So, he had 10 + 40 = <<10+40=50>>50 pencils in all. How many pencils are in each box? ** Therefore, each box had 50/10 = <<50/10=5>>5 pencils inside. #### 5 Caleb bought 10 cartons of ice cream and 4 cartons of frozen yoghurt. Each carton of ice cream cost $4 and each carton of frozen yoghurt cost $1. How much more did Caleb spend on ice cream than on frozen yoghurt? How much did the ice cream cost? ** The cost of the ice cream is 10 × $4 = $<<10*4=40>>40. How much did the frozen yoghurt cost? ** The cost of the frozen yoghurt is 4 × $1 = $<<4*1=4>>4. How much more did Caleb spend on ice cream than on frozen yoghurt? ** Caleb spent $40 − $4 = $36 more on ice cream than on frozen yogurt. #### 36 Leah earned $28 working odd jobs around the neighborhood. She spent a seventh of it on a milkshake and put half of the rest in her savings account. She left the remaining money in her wallet. Her dog got ahold of her wallet and shredded all the money inside but $1. How many dollars did Leah lose? How much did Leah spend on a milkshake? ** Leah spent 28 / 7 = $<<28/7=4>>4 on a milkshake. How much money did Leah have left? ** She had 28 - 4 = $<<28-4=24>>24 left. How much money did Leah have in her wallet? ** She put half in her savings account and half in her wallet, so she had 24 / 2 = $<<24/2=12>>12 in her wallet. How many dollars did Leah lose? ** Her dog shredded all the money in her wallet but $1, so Leah lost 12 - 1 = $<<12-1=11>>11. #### 11 There are 25 roses in a garden. There are 40 tulips. There are 35 daisies. What percentage of flowers are not roses? How many flowers are there? ** There are 25+40+35=<<25+40+35=100>>100 flowers total. How many flowers are not roses? ** There are 40+35=<<40+35=75>>75 flowers that are not roses. What percentage of flowers are not roses? ** Therefore, (75/100)*100=<<(75/100)*100=75>>75% of the flowers are not roses. #### 75 Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assignment in 2 hours, how many minutes did Leo finish the third part of the assignment? How many minutes did Leo take to finish the second part of the assignment? ** It took Leo 25 x 2 = <<25*2=50>>50 minutes to finish the second part of the assignment. How many minutes did Leo take to finish the first and second parts of the assignment? ** Leo finished the first and second parts of the assignment in 25 + 50 = <<25+50=75>>75 minutes. How many minutes did Leo take to finish the entire assignment? ** He finished the entire assignment in 60 x 2 = <<60*2=120>>120 minutes. How many minutes did Leo take to finish the third part of the assignment? ** Therefore, it took Leo 120 - 75 = <<120-75=45>>45 minutes to finish the third part of the assignment. #### 45