Jose is a collector of fine wines. His private cellar currently holds 2400 bottles of imported wine and half as many bottles of domestic wine as imported wine. If Jose holds a party and the guests drink one-third of all his wine, how many bottles will remain in his cellar?

Jose has half as many bottles of domestic wine as imported wine, or 2400/2=

<<2400/2=1200>>1200 bottles of domestic wine. In total, he has 2400+1200=<<2400+1200=3600>>3600 bottles of wine. If the guests drink one-third of all his wine, then they will have consumed 3600/3=<<3600/3=1200>>1200 bottles of wine. Thus, after the party, Jose's private cellar will have 3600-1200=<<3600-1200=2400>>2400 remaining bottles of wine. #### 2400 Chance boarded a plane departing from London to New York at 6:00 a.m. ET on Monday. He arrived in New York 18 hours later. If he took another plane flying to Cape town the day he arrived in New York and arrived in Cape town at 10:00 a.m ET on Tuesday, calculate the number of hours his flight took from New York to cape town. Eighteen hours later, after departing from London, Chance arrived in New York at 6:00+18 hours = 00:00 on Tuesday. If he arrived in cape town at 10:00 p.m. on Tuesday, his flight took 10:00-00:00 = 10 hours. #### 10 Edric's monthly salary is $576. If he works 8 hours a day for 6 days a week, how much is his hourly rate? In a week, Edric's salary is $576/4 = $<<576/4=144>>144. In a day, Edric earns $144/6 = $<<144/6=24>>24. Thus, his hourly rate is $24/8 = $<<24/8=3>>3. #### 3 Ian had twenty roses. He gave six roses to his mother, nine roses to his grandmother, four roses to his sister, and he kept the rest. How many roses did Ian keep? Ian gave a total of 6 + 9 + 4 = <<6+9+4=19>>19 roses. Therefore, Ian kept 20 - 19 = <<20-19=1>>1 rose. #### 1 If one fourth of the engines are defective, and there are 5 batches of 80 engines each. How many engines are not defective? There are 80*5 = <<80*5=400>>400 engines in total. 400/4 = <<400/4=100>>100 of the engines are defective. 400-100 = <<400-100=300>>300 of the engines are not defective. #### 300 Carla is making smoothies. If she uses 500 ml of watermelon puree and 100 ml of cream, how many 150 ml servings can she make? First find the total volume of the smoothie mix: 500 ml + 100 ml = <<500+100=600>>600 ml Then divide the total volume by the volume per serving to find the number of servings: 600 ml / 150 ml/serving = <<600/150=4>>4 servings #### 4 Every morning, Carla puts 79 apples in her backpack to eat for lunch. Unfortunately, Buffy stole some of Carla's apples on the school bus, and 26 apples fell out of a hole on the bottom. So at lunchtime, Carla only had 8 apples remaining. How many apples did Buffy steal from Carla? Let B be the number of apples that Buffy stole. Then 79 - B - 26 = 8. Combining constants produces 53 - B = 8. Adding B to both sides produces 52 = B + 8 Thus the number of apples stolen by Buffy is B = 53 - 8 = <<53-8=45>>45. #### 45 Joey studies for his SAT exams 2 hours per night 5 nights a week. On the weekends, he studies 3 hours a day. If his SAT exam is 6 weeks away, how much time will Joey spend studying? Joey studies 2 hours a night 5 nights a week so that's 2*5 = <<2*5=10>>10 hours He studies 3 hours a day on the weekends so that's 3*2 = <<3*2=6>>6 hours In one week, Joey studies 10+6 = <<10+6=16>>16 hours He has 6 weeks till his exams and he studies for 16 hours a week so that's 6*16 = <<6*16=96>>96 hours of studying #### 96 On a 16 GB (gigabyte) capacity USB drive, 50% is already busy. Calculate the number of gigabytes still available. We calculate 50% of 16 GB: 50/100 * 16 GB = 0.5 * 16 GB = <<50/100*16=8>>8 GB That leaves 16 GB - 8 GB = <<16-8=8>>8 GB available on this key. #### 8 Marla is planning the lunch menu for an elementary school. There are 5 third grade classes with 30 students each, 4 fourth grade classes with 28 students each, and 4 fifth grade classes with 27 students each. Each student gets a hamburger, which costs $2.10, some carrots, which cost $0.50, and a cookie, which cost $0.20. How much does one lunch for all the students cost? First find the total number of students in third grade 5 classes * 30 students/class = <<5*30=150>>150 students Then find the total number of students in fourth grade 4 classes * 28 students/class = <<4*28=112>>112 students Then find the total number of student in fifth grade 4 classes * 27 students/class = <<4*27=108>>108 students Now add the number of students in each grade to find the total number of students 150 students + 112 students + 108 students = <<150+112+108=370>>370 students Now find the total cost of one lunch $2.10 + $0.50 + $0.20 = $<<2.10+0.50+0.20=2.80>>2.80 Now multiply that cost by the number of students to find the total cost for the school $2.80/student * 370 students = $<<2.80*370=1036>>1036 #### 1036