Micah, Dean, and Jake are all training for a marathon organized by a local NGO to support children in their town who have cancer. Micah runs 2/3 times as fast as Dean. It takes Jake 1/3 times more time to finish the marathon than it takes Mica. If Dean takes 9 hours, what's the total time the three take to complete the marathon?

How long does it take Micah to finish the marathon? ** If Dean takes 9 hours to finish the marathon, it takes Micah 2/3 * 9 hours =

<<9*2/3=6>>6 hours to finish the marathon. How long does it take Jake to finish the marathon? ** It takes Jake 1/3 * 6 hours = <<1/3*6=2>>2 more hours to finish the marathon than Micah. How long does it take Jake to finish the marathon? ** Jake takes a total of 6 hours + 2 hours = <<6+2=8>>8 hours to finish the marathon. How long does it take the three to finish the marathon? ** Micah, Dean, and Jake take a total of 8 hours + 6 hours + 9 hours = <<8+6+9=23>>23 hours to finish the marathon. #### 23 There are 8 red pens in Maria's desk drawer. There are 10 more black pens than red pens. There are also 7 more blue pens than red pens. How many pens are there in all? How many black pens does Maria have? ** Maria has 8 + 10 = <<8+10=18>>18 black pens. How many blue pens does Maria have? ** Maria has 8 + 7 = <<8+7=15>>15 blue pens. How many pens does Maria have in total? ** Maria has 8 + 18 + 15 = <<8+18+15=41>>41 pens in total. #### 41 The new pad of paper has 120 pages. Sammy uses 25% of the pages for his science project, and another 10 pages for his math homework. How many pages remain in the pad? How many pages did Sammy use for his science project? ** He used 0.25*120=<<0.25*120=30>>30 on science How many pages were left after his science project? ** There were 120-30=<<120-30=90>>90 pages left How many pages remain in the pad? ** And then he has 90-10=<<90-10=80>>80 after math. #### 80 Hanna has $300. She wants to buy roses at $2 each and give some of the roses to her friends, Jenna and Imma. Jenna will receive 1/3 of the roses, and Imma will receive 1/2 of the roses. How many roses does Hanna give to her friends? How many roses can Hanna buy? ** Hanna can buy $300/$2 = <<300/2=150>>150 roses. How many roses will Jenna receive? ** So, Jenna will receive 1/3 x 150 = <<1/3*150=50>>50 roses. How many roses will Imma receive? ** While Imma will receive 1/2 x 150 = <<1/2*150=75>>75 roses. How many roses does Hanna give to her friends? ** Therefore, Hanna gives a total of 50 + 75 = <<50+75=125>>125 roses to her friends. #### 125 Gloria wants to buy the $129,000 mountain cabin that her friend Alfonso is selling. She only has $150 in cash. She intends to raise the remaining amount by selling her mature trees for lumber. She has 20 cypress trees, 600 pine trees, and 24 maple trees. She will get $100 for each cypress tree, $300 for a maple tree, and $200 per pine tree. After paying Alfonso for the cabin, how much money will Gloria have left? How much money will the cypress trees earn? ** The cypress trees will earn Gloria 20 trees * $100/tree = $<<20*100=2000>>2000 How much money will the pine trees earn? ** From the sale of the cypress trees, Gloria will also make 600 trees * $200/tree = $<<600*200=120000>>120000 How much money will the maple trees earn? ** Finally, the maple trees will bring in 24 trees * $300/tree = $<<24*300=7200>>7200 How much money will Gloria have left? ** Combining all the amounts will give Gloria a total of $150 + $2000 + $120000 + $7200 = $<<150+2000+120000+7200=129350>>129350 How much money will Gloria have left? ** Subtracting the cost of the mountain cabin from the total will leave Gloria with a balance of $129350 - $129000 = $<<129350-129000=350>>350 #### 350 Giorgio plans to make cookies for his class. There are 40 students and he plans to make 2 cookies per student. If 10% of his classmates want oatmeal raisin, then how many oatmeal raisin cookies will Giorgio make? How many students want oatmeal raisin? ** 40 students want oatmeal raisin because 40 x .1 = <<40*.1=4>>4 How many oatmeal raisin cookies does Giorgio make? ** He makes 8 oatmeal raisin cookies because 4 x 2 = <<4*2=8>>8 #### 8 Diana wants to buy winter clothes for all the 40 children at her local children's home. The home has five times as many teenagers as toddlers. There are also some newborns. If there are 6 toddlers, for how many newborns will Diana be shopping? How many teenagers are there? ** There are 6 toddlers, which means that the children’s home has 5 teenagers/toddler * 6 toddlers = <<5*6=30>>30 teenagers How many newborns will Diana be shopping for? ** Diana will be shopping for 40 children - 30 teenagers - 6 toddlers = <<40-30-6=4>>4 newborns #### 4 Jason sent 220 text messages on Monday, half as many text messages on Tuesday, and 50 text messages each day Wednesday through Friday. How many text messages did he send on average during those five days? How many text messages did Jason send on Tuesday? ** First find how many text messages he sent on Tuesday: 220 messages / 2 = <<220/2=110>>110 messages How many text messages did Jason send on Wednesday-Friday? ** Then find how many text messages he sent Wednesday-Friday: 50 messages/day * 3 days = <<50*3=150>>150 messages How many text messages did Jason send in total? ** Then add up all the messages he sent to find the total: 110 messages + 150 messages + 220 messages = <<110+150+220=480>>480 messages How many text messages did Jason send on average during those five days? ** Then divide that number by the number of days to find the average number of messages he sent per day: 480 messages / 5 days = <<480/5=96>>96 messages/day #### 96 If Ken's house is twice as far from Dawn's house as Mary's house along a certain road, and Ken's house is 4 miles away from Dawn's house along this same road, how much distance (in miles) will Ken cover if he goes from his house to Dawn's house, then Mary's, then back to Dawn's before going back to his own house? How far is Ken's house from Mary's? ** Ken's house is twice as far from Dawn's house as Mary's, so the distance between Ken's and Mary's is half that between Ken's and Dawn's (4 miles) which means the former is (1/2)*4 miles = <<4*1/2=2>>2 miles How far is Ken's house from Dawn's? ** If Ken goes from his house to Dawn's, he has covered 4 miles How far is Ken's house from Mary's? ** He goes from there to Mary's (2 miles, same as Ken's to Mary's) for a total of 4+2 = <<4+2=6>>6 miles. How far is Ken's house from Dawn's? ** He goes back to Dawn's (another 2 miles) for a total of 6+2 = <<6+2=8>>8 miles How far is Ken's house from his own? ** Then he goes to his own house (4 miles) for a final total of 8+4 = <<8+4=12>>12 miles #### 12 Aaron wants to purchase a guitar under a payment plan of $100.00 per month for 12 months. His father has agreed to lend him the entire amount for the guitar, plus a one-time 10% interest fee for the entire loan. With interest, how much money will Aaron owe his dad? How much does the guitar cost? ** The guitar costs $100 every month for 12 months so it costs 100*12 = $<<100*12=1200>>1200 How much is the interest? ** His dad is charging him 10% interest on the $1200 so interest comes to .10*1200 = $<<1200*.10=120.00>>120.00 How much will Aaron owe his father? ** All total, Aaron will owe his father the price of the guitar, $1200 and the interest, $120 so 1200+120 = $<<1200+120=1320.00>>1,320.00 #### 1320