Mason is trying to download a 880 MB game to his phone. After downloading 310 MB, his Internet connection slows to 3 MB/minute. How many more minutes will it take him to download the game?
How many MB are left to download? ** First find how many MB are left to download: 880 MB - 310 MB =
<<880-310=570>>570 MB How many minutes will it take him to download the game? ** Then divide that number by the download speed to find the download time: 570 MB / 3 MB/minute = <<570/3=190>>190 minutes #### 190 Walter wants to serve hushpuppies to his guests for his annual fish fry event. He thinks each guest will eat 5 hushpuppies and he is having 20 guests. He can cook 10 hushpuppies in 8 minutes. How long will it take to cook all of the hushpuppies? How many hush puppies will he serve? ** He wants to serve 5 hushpuppies to each guest and he is having 20 guests so that's 5*20 = <<5*20=100>>100 hush puppies How many batches of hushpuppies will he cook? ** He can only cook 10 hushpuppies at a time and he needs to cook 100 hushpuppies so that's 100/10 = <<100/10=10>>10 batches of hushpuppies How long will it take to cook all of the hushpuppies? ** Each batch takes 8 minutes to cook and he has 10 batches to cook so it will take him 8*10 = <<8*10=80>>80 minutes #### 80 At the new store, there are 3 times as many grape candies as cherry candies, and 2 times as many apple candies as grape candies. All the candies cost $2.50 each. If the total cost of the candies is $200, how many grape candies does the store have? How many candies in total are there? ** Total number of candies is 200/2.5=<<200/2.5=80>>80 candies. Define a variable ** Let x be the number of cherry candies. How many grape candies are there? ** There are 3*x grape candies. How many apple candies are there? ** There are 2*3*x=6*x apple candies. Write an equation ** x+3*x+6*x=80 Simplify ** 10*x=80 Simplify ** x=<<8=8>>8 How many grape candies are there? ** There are 8*3=<<8*3=24>>24 grape candies. #### 24 Peyton Manning throws a football 20 yards when the temperature is 50 degrees Fahrenheit, but the ball moves twice as far when the temperature is 80 degrees Fahrenheit. Last Saturday, the temperature was 50 degrees Fahrenheit, and he threw the ball twenty times. On Sunday, the temperature rose to 80 degrees Fahrenheit, and he threw the ball 30 times. Calculate the total number of yards he threw the ball in the two days. How many yards did he throw the ball on Saturday? ** On Saturday, he threw the ball 20 times, and since the temperature was 50 degrees, he could throw only 20 yards, totaling 20*20 = <<20*20=400>>400 yards. How many yards did he throw the ball on Sunday? ** On Sunday, the temperature favored him, and he threw the ball twice the distance he could throw on Saturday, which is 2*20 = <<2*20=40>>40 yards. How many yards did he throw the ball in the two days? ** If he threw the ball 30 times, he threw for 30*40 = <<30*40=1200>>1200 yards. How many yards did he throw the ball in the two days? ** In the two days, he threw 1200+400 = <<1200+400=1600>>1600 yards. #### 1600 The total distance between 2 towns is 200 miles. Roger and his friend drove 1/4 of the total distance, taking 1 hour to do so. They take lunch for another 1 hour and then drove the remaining distance going at the same speed as before. What's the total amount of time, in hours, Roger and his friend took to travel between the two towns? How far were Roger and his friend from the starting point when they covered 1/4 of the total distance? ** When they covered 1/4 of the total distance, they were 1/4 * 200 = <<1/4*200=50>>50 miles away from the starting point. How far was the remaining distance? ** The total distance remaining is 200 - 50 = <<200-50=150>>150 miles. How fast were Roger and his friend traveling? ** If they took 1 hour to travel 50 miles, their speed was 50/1 = <<50/1=50>>50 miles per hour. How long did it take Roger to travel 150 miles? ** If Roger was driving at 50 miles per hour, then the total time it took him to travel 150 miles is 150/50 = <<150/50=3>>3 hours. How long did it take Roger and his friend to travel between the two towns? ** The total amount of time taken for the whole journey is 3 + 1 + 1= 5 hours. #### 5 Josie and her family went on a safari and had an exciting time watching different animals grazing and playing together. She decided to count each animal she saw and calculated their total number. She counted 80 antelopes, 34 more rabbits than antelopes, 42 fewer hyenas than the total number of antelopes and rabbits combined, 50 more wild dogs than hyenas, and the number of leopards was half the number of rabbits. What the total number of animals that Josie counted? How many rabbits were there? ** The number of rabbits was 80+34 = <<80+34=114>>114 How many animals were there? ** The total number of rabbits and antelopes is 114+80 = <<114+80=194>>194 How many hyenas were there? ** The number of hyenas was 42 fewer than the combined number of antelopes and rabbits, which is 194-42 = 152 How many wild dogs were there? ** The number of wild dogs was 50 more than the number of hyenas, that is 152+50= 202 How many leopards were there? ** The number of leopards is 1/2*114 = <<1/2*114=57>>57 What was the total number of animals that Josie counted? ** The total number of animals Josie saw is 57+202+152+114+80 = <<57+202+152+114+80=605>>605 #### 605 Allison, a YouTuber, uploads 10 one-hour videos of food reviews each day to her channel. She uploaded videos halfway through June, at that pace, and then doubled the number of video hours she uploaded on the remaining days. What's the total number of video hours she has uploaded at the end of the month? How many days are halfway through June? ** Since June has 30 days, halfway is 1/2*30 = <<1/2*30=15>>15 How many video hours are halfway through June? ** The total number of video hours halfway through June is 10*15 = <<10*15=150>>150 How many video hours did Allison upload each day? ** When she doubled the number of video hours, the total per day became 10*2 = <<10*2=20>>20 How many video hours did Allison upload on the remaining days? ** The total number of video hours for the remaining days is 15*20 = <<15*20=300>>300 How many video hours did Allison upload in June? ** The total number of video hours for the whole month is 300+150 = <<300+150=450>>450 #### 450 Carla's teacher tells her that she needs to collect 30 leaves and 20 bugs for a project that's due in 10 days. How many items does Carla need to collect each day if she always wants to collect the same daily amount? How many items does Carla need to find? ** First find the total number of items Carla needs to find by adding the number of leaves to the number of bugs: 30 leaves + 20 bugs = <<30+20=50>>50 items How many items does Carla need to collect each day? ** Now divide the total number of items by the number of days Carla has to do her assignment to find the daily collection amount: 50 items / 10 days = <<50/10=5>>5 items/day #### 5 Edward the plumber is replacing a pipe in a bathroom wall. He needs to use 40 feet of copper pipe to complete the job. For every 5 feet of pipe, Edward must use one tightening bolt, and for every bolt, he uses two washers. He buys a bag of 20 washers for the job. After he completes the bathroom job, how many washers will be remaining in the bag? How many tightening bolts will Edward use? ** If Edward needs to use 1 bolt per every five feet of piping, then for a job requiring 40-feet of piping, he will use 40/5 = <<40/5=8>>8 tightening bolts. How many washers will Edward use? ** If for every 1 bolt he uses two washers, then he will need 8 * 2 = <<8*2=16>>16 washers to complete the job. How many washers will be remaining in the bag? ** if he buys a bag containing 20 washers, and removes 16, he will have 20 - 16 = <<20-16=4>>4 washers remaining in the bag. #### 4 Following her doctor’s recommendation to up her daily water intake, Nancy now drinks the equivalent of 60% of her body weight in water. If Nancy’s daily water intake is 54 pounds, how much, in pounds, does she weigh? Define a variable ** Let Nancy’s weight be x How many pounds of water does Nancy drink? ** We know that 60/100 * x = 54 pounds How much does Nancy weigh? ** This translates to x= 54*100/60 = <<54*100/60=90>>90 pounds #### 90