Claudia has 122 ounces of water and is filling up cups. She has 8-ounce glasses, 5-ounce glasses, and 4-ounce glasses. If she fills six 5 ounce glasses and four 8 ounce glasses, how many 4 ounce glasses can she fill with the remaining water?

She has used 32 ounces on 8-ounce glasses because 4 x 8 = 32

She has used 30 ounces on the 5-ounce glasses because 6 x 5 = 30

She has used 62 ounces in total because 32 + 30 =

<<32+30=62>>62 She has 60 ounces left because 122 - 62 = <<122-62=60>>60 She can fill fifteen four-ounce glasses because 60 / 4 = <<60/4=15>>15 #### 15 Olaf is sailing across the ocean with 25 men, including himself. He needs 1/2 a gallon of water per day per man. The boat can go 200 miles per day and he needs to travel 4,000 miles. How many gallons of water does he need? He needs 12.5 gallons per day because 25 x .5 = <<25*.5=12.5>>12.5 It will take 20 days of travel because 4,000 / 200 = <<4000/200=20>>20 He will need 250 gallons of water because 20 x 12.5 = <<20*12.5=250>>250 #### 250 Beyonce releases 5 different singles on iTunes. Then she releases 2 albums that each has 15 songs and 1 album that has 20 songs. How many songs has Beyonce released in total? In her 2 albums, Beyonce releases 2 * 15 = <<2*15=30>>30 songs In her next album, Beyonce releases 1 * 20 = <<1*20=20>>20 songs Since each single is one song, Beyonce releases a total of 30 + 20 + 5 = <<30+20+5=55>>55 songs #### 55 James makes potatoes for a group. Each person eats 1.5 pounds of potatoes. He makes potatoes for 40 people. A 20-pound bag of potatoes costs $5. How much does it cost? He needs 1.5*40=<<1.5*40=60>>60 pounds of potatoes So he needs to buy 60/20=<<60/20=3>>3 bags of potatoes So it cost 3*5=$<<3*5=15>>15 #### 15 There are three times as many hogs as cats in King Henry's kingdom. If there are 75 hogs, what's 5 less than 60% of the number of cats in King Henry's kingdom? There are three times as many hogs as cats in King Henry's kingdom, meaning there are 75/3=<<75/3=25>>25 cats 60% of the number of cats in King Henry's kingdom is 60/100*25=<<60/100*25=15>>15 cats 5 less than 60% of the number of cats in King Henry's kingdom is 15-5=<<15-5=10>>10 cats #### 10 After 100 new people move into a town, 400 of the original population move out. Every year afterward, the town’s population is halved. After 4 years, the population is 60 people. Before the new people moved in, how many people lived in the town? If the population is halving then at the end of the third year, the population must have been 60 people in the fourth year * 2 = <<60*2=120>>120 people. In the second year, the population was 120 people in the third year * 2 = <<120*2=240>>240 people. And in the first year, the population was 240 people in the third year * 2 = <<240*2=480>>480 people. Additional people moved out in the first year, so accounting for these shows the population was 480 people + 400 people who moved out = <<480+400=880>>880 people. Then removing the new people shows there were originally 880 people – 100 new people = <<880-100=780>>780 people. #### 780 John plays at the arcade for 3 hours. He uses $.50 for every 6 minutes. How much money did he spend, in dollars? He was at the arcade for 3*60=<<3*60=180>>180 minutes So he put coins in 180/6=<<180/6=30>>30 times That means he spent 30*.5=$<<30*.5=15>>15 #### 15 Silvio was running a race that had 4 parts. The total length of the race was 74.5 kilometers. The first part of the race is 15.5 kilometers long. The second and third parts are each 21.5 kilometers long. How many kilometers is the last part of the race? 15.5 + (2 * 21.5) = <<15.5+(2*21.5)=58.5>>58.5 km 74.5 - 58.5 = <<74.5-58.5=16>>16 kilometers The last part of the race is 16 kilometers. #### 16 Luca went to a sandwich shop for lunch. The sandwich he bought was normally $8, but he had a coupon for a quarter of the price off. He then upgraded it with sliced avocado for an extra dollar. After adding a drink and a $3 salad, his total lunch bill was $12. How many dollars did Luca pay for his drink? Luca’s coupon saved him 8 / 4 = $<<8/4=2>>2 on his sandwich. He paid $1 for avocado on his sandwich, so the sandwich cost 8 - 2 + 1 = $<<8-2+1=7>>7. He paid $3 for his salad, so his meal without the drink was 7 + 3 = $<<7+3=10>>10. Thus, Luca paid 12 - 10 = $<<12-10=2>>2 for his drink. #### 2 Alex was having a cookout Friday night and planned to serve burgers to his guests. He planned to cook 3 burgers for each guest and had invited 10 friends over. 1 of his friends didn't eat meat and said they would bring their own food. Another one of his friends didn't eat bread and would not need the buns. The burger buns came 8 to a pack. How many packs of buns did Alex need to buy? He invited 10 friends but he didn't need to cook for 1 of his friends so that left 10-1 = <<10-1=9>>9 friends to cook for. He was cooking 3 burgers per 9 guests so 3*9 = <<3*9=27>>27 burgers He needed 27 burger buns but 1 guest wouldn't eat the buns so now he needs 27-3 = <<27-3=24>>24 He will need to buy 24 buns and they come 8 to a pack so he needs 24/8 = <<24/8=3>>3 packs of buns #### 3