Quentin, Skylar, and Colten have a total of 383 chickens. Quentin has 25 more than double the chickens that Skylar has. Skylar has 4 less than triple the number of chickens that Colten has. How many chickens does Colten have?
Let x represent the number of chickens that Colten has
Skylar:3x-4
Quentin: 25+2(3x-4)=25+6x-8=6x+17
Total:x+3x-4+(6x+17)=383
10x+13=383
10x=370
x=
<<37=37>>37 chickens #### 37 Mary bought a packet of 1500 stickers. She shared them between Susan, Andrew and Sam in the ratio 1:1:3 respectively. If Sam gave Andrew two-thirds of his own share, how many stickers does Andrew now have? The sum of the ratio is 1+1+3 = 5, therefore each part is 1500/5 = 300 stickers Sam got 3 parts for a total of 3*300 = <<3*300=900>>900 stickers He gave two-thirds of this which is 900*(2/3) = <<900*(2/3)=600>>600 stickers to Andrew Andrew had one part already, which is 1*300 = <<1*300=300>>300 Andrew now has a total of 300+600 = <<300+600=900>>900 stickers. #### 900 In January, Bill's labrador puppy weighs 40 pounds and his dachshund puppy weighs 12 pounds. Each dog gains 25% of their starting weight over the year. What's the difference in their weight at the end of the year? First find how much weight the labrador puppy gains: 40 pounds * 25% = <<40*25*.01=10>>10 pounds Then add that weight gain to the puppy's starting weight: 40 pounds + 10 pounds = <<40+10=50>>50 pounds Then find how much weight the dachshund puppy gains: 12 pounds * 25% = <<12*25*.01=3>>3 pounds Then add that weight gain to the puppy's starting weight: 12 pounds + 3 pounds = <<12+3=15>>15 pounds Then subtract the dachshund puppy's weight from the labrador puppy's weight to find the difference: 50 pounds - 15 pounds = <<50-15=35>>35 pounds #### 35 There are 7 trucks that have 20 boxes. There are 5 trucks that have 12 boxes. Each box holds 8 containers of oil. If all of the oil is evenly redistributed onto 10 trucks, how many containers of oil will each truck have? Boxes of oil = 7 * 20 + 5 * 12 = <<7*20+5*12=200>>200 boxes Containers of oil = 200 boxes * 8 containers = <<200*8=1600>>1600 containers of oil 1600/10 = <<1600/10=160>>160 Each truck will carry 160 containers of oil. #### 160 Francis and Kiera had breakfast at a cafe. Muffins cost $2 each, and fruit cups cost $3 each. Francis had 2 muffins and 2 fruit cups. Kiera had 2 muffins and 1 fruit cup. How much did their breakfast cost? Francis bought 2 × $2 = $<<2*2=4>>4 worth of muffins. Francis bought 2 × $3 = $<<2*3=6>>6 worth of fruit cups. Kiera bought 2 × $2 = $<<2*2=4>>4 worth of muffins. Kiera bought 1 × $3 = $<<1*3=3>>3 worth of fruit cups. Their breakfast cost $4 + $6 + $4 + $3 = $<<4+6+4+3=17>>17 in total. #### 17 Stephanie is planning dinners to cook for the week and needs to figure out how much of each ingredient she should buy at the grocery store. She is making three recipes that call for lower sodium soy sauce as a main ingredient. One bottle of lower sodium soy sauce holds 16 ounces. There are 8 ounces in 1 cup. The first recipe Stephanie is going to cook calls for 2 cups of lower sodium soy sauce. The second recipe calls for 1 cup. The third recipe calls for 3 cups. If Stephanie can only buy 1 whole bottle of soy sauce no matter how much she needs exactly, how many bottles of lower sodium soy sauce should Stephanie buy to allow for all three recipes? First, Stephanie needs to figure out how many cups of soy sauce she needs total, 2 cups + 1 cup + 3 cups = <<2+1+3=6>>6 cups total of lower sodium soy sauce. Then Stephanie needs to figure out how many ounces are in 6 cups of lower sodium soy sauce, 6 x 8 ounces each cup = <<6*8=48>>48 total ounces of lower sodium soy sauce. Next Stephanie needs to figure out how many bottles of soy sauce to purchase to get 48 ounces, where 1 bottle has 16 ounces, 48 / 16 = <<48/16=3>>3 bottles of lower sodium soy sauce. #### 3 There are 35 bottles of milk on the grocery store shelf. Jason buys 5 of the bottles and Harry buys 6 more. How many bottles of milk are left on the store shelf after Jason and Harry purchased milk? Jason and Harry purchased a total of 5 + 6 = <<5+6=11>>11 bottles of milk. So, there are 35 - 11 = <<35-11=24>>24 bottles of milk left on the store shelf. #### 24 Barney can perform 45 sit-ups in one minute. Carrie can do twice as many sit-ups per minute as Barney can. And Jerrie can do 5 more sit-ups per minute than Carrie can do. If Barney does sit-ups for 1 minute, and Carrie does sit-ups for two minutes, and Jerrie does sit-ups for three minutes, what would be the combined total number of sit-ups performed? Carrie can do 2*45=<<2*45=90>>90 sit-ups per minute. Jerrie can do 90+5=<<90+5=95>>95 sit-ups per minute. In two minutes, Carrie would perform 90*2-180 sit-ups. And in three minutes, Jerrie would perform 3 * 95=<<3*95=285>>285 sit-ups. Thus, in the scenario described, in total, the three would perform 45+180+285=<<45+180+285=510>>510 sit-ups. #### 510 Lena played video games for 3.5 hours last weekend. Her brother played 17 minutes more than she did. How many minutes together did Lena and her brother play video games last weekend? Lena = 3.5 hours = 210 minutes Brother = 210 + 17 = <<210+17=227>>227 minutes 210 + 227 = <<210+227=437>>437 minutes Together, Lena and her brother played 437 minutes of video games. #### 437 David has a store where he sells cell phones. When he takes inventory at the end of the day, he notices that he has 10 Samsung cell phones but he started the day with 14 Samsung cell phones. Then he notices that he has 5 iPhones and in the initial inventory, but started with 8. His staff then told him that in the afternoon they realized that 2 Samsung cell phones were damaged and 1 iPhone had a manufacturing defect in the screen, so they threw these out during the day. What was the total number of cell phones that were sold today? The actual initial inventory of Samsung cell phones was 14, but there were 2 defective phones so 14 - 2 = <<14-2=12>>12 is the initial inventory of working Samsung phones. The actual initial inventory of iPhone cell phones was 8, but there was one defective phone, so 8 - 1 = <<8-1=7>>7 is the actual initial inventory of working iPhones. Thus only 12 - 10 = <<12-10=2>>2 Samsung cell phones were sold. Thus only 7 - 5 = <<7-5=2>>2 iPhones were sold. Thus the total number of phones sold is 2 Samsung + 2 iPhone = <<2+2=4>>4 cell phones. #### 4