There are 4 puppies and 3 dogs at a camp. Each dog eats twice as much food as a puppy, but each puppy eats three times as often as a dog. If a dog eats 4 pounds of food three times a day, what would be the total amount of food the dogs and puppies eat in a day?

Eating three times a day, a dog eats 3*4=

<<3*4=12>>12 pounds of food. Since there are 3 dogs at the camp, the total amount of food they eat is 3*12=<<3*12=36>>36 pounds of food in a day. If each dog eats twice as much food as a puppy, a puppy will eat 4/2=<<4/2=2>>2 pounds of food in one meal. Each puppy eats three times as often as a dog, and if a dog eats three times in a day, a puppy will eat 3*3= <<3*3=9>>9 times in a day. Since a puppy eats 2 pounds of food a day, the total amount of food a puppy will eat in a day is 9*2=<<9*2=18>>18 pounds of food. Four puppies in the camp eat 18*4=<<18*4=72>>72 pounds of food every day. Together, the dogs and the puppies eat 72+36=<<72+36=108>>108 pounds of food in a day. #### 108 Heloise has dogs and cats in the ratio of 10:17, with the total number of pets being 189. If she gives 10 dogs to her friend Janet, how many dogs does she remain with altogether? The total ratio for the number of cats and dogs that Heloise has is 10+17 = <<10+17=27>>27 From the ratios, the fraction representing the number of dogs is 10/27, and this represents 10/27*189 = <<10/27*189=70>>70 dogs. If Heloise gives 10 of her dogs to Janet, she remains with 70-10 = <<70-10=60>>60 dogs. #### 60 Antonio is preparing a meal of spaghetti and meatballs for his family. His recipe for meatballs calls for 1/8 of a pound of hamburger per meatball. Antonio has 8 family members, including himself. If he uses 4 pounds of hamburger to make meatballs, and each member of the family eats an equal number of meatballs, how many meatballs will Antonio eat? If one meatball is made from 1/8 pound of hamburger meat, then 4 pounds of hamburger meat will make 4/(1/8)=4*8=<<4/(1/8)=32>>32 meatballs. 32 meatballs divided amongst 8 family members is 32/8=<<32/8=4>>4 meatballs per family member. #### 4 Randy has $30. He spent $10 buying his lunch. He spent a quarter of the money he had left on an ice cream cone. What is the amount of money, in dollars, Randy has left? Randy has 30-10=<<30-10=20>>20 dollars left after buying lunch. Randy spent 20/4=<<20/4=5>>5 dollars on the ice cream cone. Randy has 20-5=<<20-5=15>>15 dollars left. #### 15 In 5 years, Andy will be twice as old as Rahim is now. Rahim is 6 now. How much older is Andy than Rahim, right now, in years? Andy will be 2*6=<<2*6=12>>12. Now he is 12-5=<<12-5=7>>7. So Andy is 7-6=<<7-6=1>>1 year older than Rahim. #### 1 In a show, there can be 5 actors at a time. Every actor is in the show for about 15 minutes, and then another 5 actors come in. How many actors can there be on the show in 1 hour? One hour is 60 minutes, so there can be 60 / 15 = <<60/15=4>>4 different sets of actors. This means, that during one hour there can be 4 * 5 = <<4*5=20>>20 different actors in the show. #### 20 Kurt's old refrigerator cost $0.85 a day in electricity. He recently bought a new energy-efficient refrigerator that only cost $0.45 a day in electricity. How much money does Kurt save in a 30-day month with his new refrigerator? The old refrigerator costs $0.85 a day so for 30 days it costs .85*30 = $<<0.85*30=25.50>>25.50 The new refrigerator costs $0.45 a day so for 30 days it costs .45*30 =$<<0.45*30=13.50>>13.50 Over 30 days, Kurt saves 25.50-13.50 = $<<25.50-13.50=12.00>>12.00 a month with his new refrigerator #### 12 While cultivating a small farm, a farmer spent $50 on corn seeds, $35 on fertilizers and pesticides, and $15 on labor. After a successful harvest, he was able to gather 10 bags of corn. How much should he sell each bag, if he wants to make a profit of 10%? His total expenditure so far is $50+$35+$15 = $<<50+35+15=100>>100 To make a profit of 10%, he has to make a total of $100+($100*(10/100) = $<<100+(100*(10/100))=110>>110 from sales To make $110 from the sales of 10 bags, each bag should cost $110/10 = $<<110/10=11>>11 #### 11 On a farm, on average every 6 cows produce 108 liters of milk per week. In five weeks the cows produced 2160 liters of milk. How many cows are on the farm? Per week, one cow produces 108 liters / 6 cows = <<108/6=18>>18 liters/cow. The cows produced 2160 liters of milk over 5 weeks. So we have 2160 liters / 18 liters/cow = <<2160/18=120>>120 cows. Further, we have to divide 120 cows / 5 weeks = <<120/5=24>>24 cows. #### 24 A hot air balloon with 200 balloons is blowing up. After about half an hour, 1/5 of the total number of balloons in the hot air balloon have blown up. After another hour, twice the number of balloons that had already blown up also blow up. How many balloons in the hot air balloon remain intact? After half an hour, the number of balloons that had blown up is 1/5*200 = <<1/5*200=40>>40 The number of balloons that haven't blown up so far is 200-40 = <<200-40=160>>160 In the next hour, 2*40 = <<2*40=80>>80 balloons blow up. The number of balloons that haven't blown up now is 160-80 = <<160-80=80>>80 #### 80