Ayen jogs for 30 minutes every day during weekdays. This week on Tuesday, she jogged 5 minutes more and also jogged 25 minutes more on Friday. How many hours, in total, did Ayen jog this week?
Ayen jogged for a total of 30 x 3 =
<<30*3=90>>90 minutes on Monday, Wednesday, and Thursday. She jogged for 30 + 5 = <<30+5=35>>35 minutes on Tuesday. She also jogged for 30 + 25 = <<30+25=55>>55 minutes on Friday. So, Ayen jogged for a total of 90 + 35 + 55 = <<90+35+55=180>>180 minutes. In hours, this is equal to 180 minutes / 60 minutes/hour = <<180/60=3>>3 hours. #### 3 Karen's class fund contains only $10 and $20 bills, which amount to $120. The number of $10 bills is twice as many $20 bills. How many $20 bills do they have in their fund? If n is the number of $20 bills then 2n is the number of $10 bills. So the equation will be $10(2n) + $20n = $120. By combining like terms, the equation becomes 40n = 120. So, the value of n which represents the number of $20 bills is 120/40 = <<120/40=3>>3. #### 3 Shara borrowed money from her brother 6 months ago. She returned $10 per month to her brother. Currently, she was able to return half of the money she borrowed. How much will she still owe her brother 4 months from now? For 6 months, Shara was able to return $10 x 6 = $<<10*6=60>>60 to her brother. Since she already returned half of the money, then this means she currently owes her brother $<<60=60>>60. Four months from now, she will be able to pay an additional $10 x 4 = $<<10*4=40>>40. Thus, she will still owe her brother $60 - $40 = $<<60-40=20>>20 four months from now. #### 20 A bookseller sells 15 books in January, 16 in February and a certain number of books in March. If the average number of books he sold per month across all three months is 16, how many books did he sell in March? He sold an average of 16 books per month across all 3 months so he must have sold a total of 3*16 = <<16*3=48>>48 books in those 3 months He sold 15+16 = <<15+16=31>>31 in January and February He must have sold 48-31 = <<48-31=17>>17 books in March #### 17 Evelyn’s family watched 10 hours of television last week. The week before, they watched 8 hours of television. If they watch 12 hours of television next week, what is the average number of hours of television that they watch per week? Over the three weeks, they will have watched a total of 10 + 8 + 12 = <<10+8+12=30>>30 hours of television. The average number of hours per week is 30 hours / 3 = <<30/3=10>>10 hours of television. #### 10 Pete has a bag with 10 marbles. 40% are blue and the rest are red. His friend will trade him two blue marbles for every red one. If Pete keeps 1 red marble, how many total marbles does he have after trading with his friend? He starts with 4 blue marbles because 10 x .4 = <<10*.4=4>>4 60% of the marbles are red because 100 - 40 = <<100-40=60>>60 He has 6 red marbles because 10 x .6 = <<10*.6=6>>6 He trades 5 red marbles because 6 - 1 = <<6-1=5>>5 He gets 10 blue marbles because 5 x 2 = <<5*2=10>>10 He has 15 marbles now because 4 + 1 + 10 = <<4+1+10=15>>15 #### 15 A small, old, wooden bridge can hold up to 100 kilograms at once. Mike, Megan, and Kelly are three children who decided to cross the bridge at the same time. Kelly weighs 34 kilograms, which is 15% less than Megan. Mike weighs 5 kilograms more than Megan. How much too much do the three children weigh together to cross the bridge? If Kelly weighs 15% less than Megan, this means Kelly's weight is 100 - 15 = <<100-15=85>>85% of Megan's weight. 85% is 0.85, so Megan weighs 34 / 0.85 = <<34/0.85=40>>40 kilograms. Mike weighs 5 kilograms more than Megan, so he weighs 40 + 5 = <<40+5=45>>45 kilograms. In total all three kids weigh 34 + 40 + 45 = <<34+40+45=119>>119 kilograms. That means to cross the bridge safely, they weigh 119 - 100 = <<119-100=19>>19 kilograms too much. #### 19 Jack goes hunting 6 times a month. The hunting season lasts for 1 quarter of the year. He catches 2 deers each time he goes hunting and they weigh 600 pounds each. He keeps half the weight of deer a year. How much deer does he keep in pounds? The hunting season last 12/4=<<12/4=3>>3 months So he goes hunting 3*6=<<3*6=18>>18 times a year That means he gets 18*2=<<18*2=36>>36 deers per year So he catches 36*600=<<36*600=21600>>21,600 pounds of deer a year That means he keeps 21600/2=<<21600/2=10800>>10,800 pounds of deer a year #### 10800 John bought a tennis racket. He also bought sneakers that cost $200 and a sports outfit that cost $250. He spent a total of $750 for all those items. What was the price of the racket? Total amount spent for athletic shoes and sportswear is $200 + $250 = $<<200+250=450>>450. The price of the racket is $750 - $450 = $<<750-450=300>>300. #### 300 Wallace runs a beef jerky company. The company dries the jerky low and slow, so one batch of jerky takes all night to make. Each batch can make 10 bags of jerky. Wallace received a customer order for 60 bags of jerky. If he has 20 bags of jerky already made, how many days will it be before he can fulfill the customer’s order? Wallace already has 20 bags of jerky, so he needs to make 60 - 20 = <<60-20=40>>40 bags more. He can make 10 bags per day, so he needs 40 / 10 = 4 days to fulfill the customer’s order. #### 4