A school is buying virus protection software to cover 50 devices. One software package costs $40 and covers up to 5 devices. The other software package costs $60 and covers up to 10 devices. How much money, in dollars, can the school save by buying the $60 software package instead of the $40 software package?

There are 50/5 =

<<50/5=10>>10 sets of 5 devices in the school. So the school will pay a total of $40 x 10 = $<<40*10=400>>400 for the $40 software package. There are 50/10 = <<50/10=5>>5 sets of 10 devices in the school. So the school will pay a total of $60 x 5 = $<<60*5=300>>300 for the $60 software package. Thus, the school can save $400 - $100 = $<<400-100=300>>300 from buying the $60 software instead of the $40 software package. #### 100 Ajax is 80 kilograms. He is planning to lose some weight. Exercising for an hour will help him lose 1.5 pounds. If 1 kilogram is equal to 2.2 pounds How many pounds will he weigh if he exercises for 2 hours every day for two weeks? Ajax weighs 80 x 2.2 = <<80*2.2=176>>176 in pounds. He will lose 1.5 x 2 = <<1.5*2=3>>3 pounds per day. So he will lose 3 x 7 = <<3*7=21>>21 pounds per week. So, he will lose 21x 2 = <<21*2=42>>42 pounds after 2 weeks. Therefore, he will weigh 176 - 42 = <<176-42=134>>134 pounds after 2 weeks. #### 134 Joey has 30 pages to read for history class tonight. He decided that he would take a break when he finished reading 70% of the pages assigned. How many pages must he read after he takes a break? Joey will take a break after 30 * 0.7 = <<30*0.7=21>>21 pages Joey will have to read 30 - 21 = <<30-21=9>>9 pages more. #### 9 In a school, the number of participants in the 2018 Science Quiz Bowl was 150. There were 20 more than twice the number of participants in 2019 as there were in 2018. In 2020, the number of participants was 40 less than half the number of participants in 2019. How many more participants were there in 2019 than in 2020? Twice the number of participants in 2018 is 150 participants x 2 = <<150*2=300>>300 participants. The number of participants in 2019 was 300 participants + 20 participants = <<300+20=320>>320 participants. Half the number of participants in 2019 is 320 participants /2 = <<320/2=160>>160 participants. The number of participants in 2020 was 160 participants - 40 participants = <<160-40=120>>120 participants. There were 320 participants - 120 participants = <<320-120=200>>200 more participants in 2019 than in 2020. #### 200 Janice needs to go to watch a movie in 2 hours. before she could leave, she needs to finish her homework which takes 30 minutes; clean her room which takes half as long as her homework; walk the dog which takes 5 minutes more than making homework; take out the trash which takes 1/6 of the time it takes her to do the homework. How many more minutes do Janice have left before the movie starts? Janice takes 30/2 = <<30/2=15>>15 minutes to clean her room. It takes 30 + 5 = <<30+5=35>>35 minutes for her to walk the dog. It takes her 30 x 1/6 = <<30*1/6=5>>5 minutes to take out the trash. So, it will take 30 + 15 + 35 + 5 = <<30+15+35+5=85>>85 minutes to do all those chores. Since there are 60 minutes in 1 hour, then 2 hours is 2 x 60 = <<2*60=120>>120 minutes. Thus, Janice still has 120 - 85 = <<120-85=35>>35 minutes left before the movie starts. #### 35 Perry made a recipe that serves four people. He added a half cup of cream at the end. Cream has 88 grams of fat per cup. How many grams of fat were added to each serving of food? Perry added 88 / 2 = <<88/2=44>>44 grams of fat to the recipe. Thus, he added 44 / 4 = <<44/4=11>>11 grams of fat to each serving of food. #### 11 A bag has seven apples, eight oranges, and 15 mangoes. Luisa takes out two apples from the bag, and takes out twice as many oranges as apples as she took from the bag. She then takes out 2/3 the number of mangoes from the bag. What is the remaining number of fruits in the bag? When Luisa takes out two apples from the bag, 7 apples - 2 apples = <<7-2=5>>5 apples remain in the bag. She also takes 2 apples * 2 oranges/apple = <<2*2=4>>4 oranges from the bag. The total number of oranges remaining in the bag is 8 oranges - 4 oranges = <<8-4=4>>4 oranges Additionally, a total of 2/3 * 15 mangoes = <<2/3*15=10>>10 mangoes are also removed from the bag. The total number of mangoes remaining in the bag is 15 mangoes - 10 mangoes = <<15-10=5>>5 mangoes. The total number of fruits that Luisa left in the bag is 5 apples + 4 oranges + 5 mangoes = <<5+4+5=14>>14 #### 14 Lizzy has to ship 540 pounds of fish that are packed into 30-pound crates. If the shipping cost of each crate is $1.5, how much will Lizzy pay for the shipment? There are 540 pounds / 30 pounds/crate = <<540/30=18>>18 crates of fish needed. Hence, the total cost for the shipment is $1.5/crate x 18 crates = $<<1.5*18=27>>27. #### 27 In the final game of the basketball season, four players scored points. Chandra scored twice as many points as did Akiko. Akiko scored 4 more points than did Michiko, and Michiko scored half as many points as did Bailey. If Bailey scored 14 points, how many points in total did the team score in the final game of the season? If Bailey scored 14 points, and Michiko scored half as many points as Bailey, then Michiko scored 14/2=<<14/2=7>>7 points. If Akiko scored 4 more points than did Michiko, then Akiko scored 7+4=11 points. Since Chandra scored twice as many points as did Akiko, then Chandra scored 11*2=<<11*2=22>>22 points. Thus, in total, the team scored 14+7+11+22=<<14+7+11+22=54>>54 points in total during the final game of the season. #### 54 Mcdonald is planning to open up a farm that provides eggs to the community. In his local community, Saly needs 10 eggs, Ben needs 14 eggs, and Ked needs half of the number of eggs needed by Ben per week. In a month which has 4 weeks, how many eggs should Mcdonald's farm produce? Ked needs 14 / 2 = <<14/2=7>>7 eggs. Mcdonald has to produce 10 + 14 + 7 = <<10+14+7=31>>31 eggs in a week. Therefore, Mcdonald's farm has to produce 31 x 4 = <<31*4=124>>124 eggs in a month. #### 124