Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?
How many bottle caps does Janine have? ** Janine has 2 * 3 =
<<2*3=6>>6 bottle caps. How many bottle caps does Sammy have? ** Sammy has 6 + 2 = <<6+2=8>>8 bottle caps. #### 8 Troy's home is 75 meters away from school while Emily's home is 98 meters away from school. Troy and Emily walk to school and back home every day. How much farther does Emily walk to school and back in five days? How far does Troy walk every day? ** Troy walks to school and back home for a total of 75 x 2 = <<75*2=150>>150 meters every day. How far does Emily walk every day? ** Emily walks to school and back home for a total of 98 x 2 = <<98*2=196>>196 meters every day. How far does Emily walk every day? ** So Emily walks 196 - 150 = <<196-150=46>>46 meters farther than Troy every day. How far does Emily walk in five days? ** In five days, Emily walks 46 x 5 = <<46*5=230>>230 meters farther. #### 230 James has 28 marbles. He puts them into 4 bags. He puts the same number in each bag. He then gives one bag away. How many marbles does James have left? How many marbles does James have in each bag? ** James has 28 marbles / 4 bags = <<28/4=7>>7 marbles per bag. How many marbles does James have left? ** James has 28 marbles - 7 marbles = <<28-7=21>>21 marbles remaining. #### 21 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? How many minutes did Ayen jog on Monday, Wednesday, and Thursday? ** Ayen jogged for a total of 30 x 3 = <<30*3=90>>90 minutes on Monday, Wednesday, and Thursday. How many minutes did Ayen jog on Tuesday? ** She jogged for 30 + 5 = <<30+5=35>>35 minutes on Tuesday. How many minutes did Ayen jog on Friday? ** She also jogged for 30 + 25 = <<30+25=55>>55 minutes on Friday. How many minutes did Ayen jog in total? ** So, Ayen jogged for a total of 90 + 35 + 55 = <<90+35+55=180>>180 minutes. How many hours did Ayen jog in total? ** 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? How many $10 bills are there? ** If n is the number of $20 bills then 2n is the number of $10 bills. Write an equation ** So the equation will be $10(2n) + $20n = $120. Combine like terms ** By combining like terms, the equation becomes 40n = 120. How many $20 bills are there? ** 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? How much did Shara return to her brother? ** For 6 months, Shara was able to return $10 x 6 = $<<10*6=60>>60 to her brother. How much does Shara currently owe her brother? ** Since she already returned half of the money, then this means she currently owes her brother $<<60=60>>60. How much will Shara be able to pay in 4 months? ** Four months from now, she will be able to pay an additional $10 x 4 = $<<10*4=40>>40. How much will Shara still owe her brother 4 months from now? ** 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? How many books did he sell in those 3 months? ** 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 How many books did he sell in January and February? ** He sold 15+16 = <<15+16=31>>31 in January and February How many books did he sell in March? ** 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? How many hours of television did Evelyn's family watch over the three weeks? ** Over the three weeks, they will have watched a total of 10 + 8 + 12 = <<10+8+12=30>>30 hours of television. What is the average number of hours of television that Evelyn's family watches per week? ** 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? How many blue marbles does Pete start with? ** He starts with 4 blue marbles because 10 x .4 = <<10*.4=4>>4 How many red marbles are there? ** 60% of the marbles are red because 100 - 40 = <<100-40=60>>60 How many red marbles does Pete have? ** He has 6 red marbles because 10 x .6 = <<10*.6=6>>6 How many red marbles does Pete trade? ** He trades 5 red marbles because 6 - 1 = <<6-1=5>>5 How many blue marbles does Pete get? ** He gets 10 blue marbles because 5 x 2 = <<5*2=10>>10 How many marbles does Pete have after trading with his friend? ** 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? How much does Kelly weigh? ** If Kelly weighs 15% less than Megan, this means Kelly's weight is 100 - 15 = <<100-15=85>>85% of Megan's weight. How much does Megan weigh? ** 85% is 0.85, so Megan weighs 34 / 0.85 = <<34/0.85=40>>40 kilograms. How much does Mike weigh? ** Mike weighs 5 kilograms more than Megan, so he weighs 40 + 5 = <<40+5=45>>45 kilograms. How much do the three children weigh together? ** In total all three kids weigh 34 + 40 + 45 = <<34+40+45=119>>119 kilograms. How much too much do the three children weigh together to cross the bridge? ** That means to cross the bridge safely, they weigh 119 - 100 = <<119-100=19>>19 kilograms too much. #### 19