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?

Hanna can buy $300/$2 =

<<300/2=150>>150 roses. So, Jenna will receive 1/3 x 150 = <<1/3*150=50>>50 roses. While Imma will receive 1/2 x 150 = <<1/2*150=75>>75 roses. 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? The cypress trees will earn Gloria 20 trees * $100/tree = $<<20*100=2000>>2000 From the sale of the cypress trees, Gloria will also make 600 trees * $200/tree = $<<600*200=120000>>120000 Finally, the maple trees will bring in 24 trees * $300/tree = $<<24*300=7200>>7200 Combining all the amounts will give Gloria a total of $150 + $2000 + $120000 + $7200 = $<<150+2000+120000+7200=129350>>129350 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? 40 students want oatmeal raisin because 40 x .1 = <<40*.1=4>>4 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? There are 6 toddlers, which means that the children’s home has 5 teenagers/toddler * 6 toddlers = <<5*6=30>>30 teenagers 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? First find how many text messages he sent on Tuesday: 220 messages / 2 = <<220/2=110>>110 messages Then find how many text messages he sent Wednesday-Friday: 50 messages/day * 3 days = <<50*3=150>>150 messages Then add up all the messages he sent to find the total: 110 messages + 150 messages + 220 messages = <<110+150+220=480>>480 messages 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? 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 If Ken goes from his house to Dawn's, he has covered 4 miles 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. He goes back to Dawn's (another 2 miles) for a total of 6+2 = <<6+2=8>>8 miles 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? The guitar costs $100 every month for 12 months so it costs 100*12 = $<<100*12=1200>>1200 His dad is charging him 10% interest on the $1200 so interest comes to .10*1200 = $<<1200*.10=120.00>>120.00 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 Stuart is going on a cross-country trip and wants to find the fastest route. On one route the total distance is 1500 miles and the average speed is 75 MPH. On the second trip, the total distance is 750 but the average speed is 25 MPH. How long does his trip take if he goes on the fastest route? The first route will take 20 hours because 1,500 / 75 = <<1500/75=20>>20 The second route will take 30 hours because 750 / 25 = <<750/25=30>>30 The fastest route takes 20 hours because 20 < 30 #### 20 Noah’s bedroom light uses 6 watts per hour. His office light is much brighter so he can see to work and uses three times as much energy. The living room light has a much larger space to cover and has to be more powerful, so it uses four times as much energy as his bedroom light. If Noah leaves all those lights on for two hours, how many watts has he used? Noah’s bedroom light uses 6 watts per hour, so it would use 2 * 6 = <<6*2=12>>12 watts in two hours. His office light uses 3 times as many watts as his bedroom light, so it uses 3 * 6 = <<3*6=18>>18 watts per hour. In two hours, the office light would use 18 * 2 = <<18*2=36>>36 watts. The living room light uses 4 times as many watts as his bedroom light, so it uses 4 * 6 = <<4*6=24>>24 watts per hour. In two hours, the living room light would use 24 * 2 = <<24*2=48>>48 watts. Thus, if Noah leaves all those lights on for two hours, he has used 12 + 36 + 48 = <<12+36+48=96>>96 watts. #### 96 Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth? He brushes his teeth 3 times a day, after breakfast, lunch and dinner. He brushes for 2 minutes so that’s 3*2 = <<3*2=6>>6 minutes per day. He brushes 6 minutes per day so after 30 days he has brushed 6*30 = <<6*30=180>>180 minutes There are 60 minutes in 1 hour and he brushes for 180 minutes so that’s 180/60 = <<180/60=3>>3 hours #### 3