Joel collected a bin of old toys to donate. By asking his friends, he was able to collect 18 stuffed animals, 42 action figures, 2 board games, and 13 puzzles. His sister gave him some of her old toys from her closet, and then Joel added twice as many toys from his own closet as his sister did from hers. In all, Joel was able to donate 108 toys. How many of the donated toys were Joel’s?

Let T be the number of toys Joel’s sister donated.

Joel donated twice as many toys, so he donated 2T toys.

Joel’s friends donated 18 + 42 + 2 + 13 =

<<18+42+2+13=75>>75 toys. In all, Joel collected T + 2T + 75 = 3T + 75 = 108 toys. Joel and his sister donated 3T = 108 - 75 = 33 toys together. Therefore, T = 33 / 3 = <<33/3=11>>11 toys were his sister’s. Thus, 2T = 2 * 11 = <<2*11=22>>22 toys were Joel’s. #### 22 A bag contains 50 fewer baseball cards than football cards. There are 4 times as many football cards as hockey cards. If there are 200 hockey cards in the bag, how many cards are there altogether? If there are 200 hockey cards in the bag and 4 times as many football cards as hockey cards, there are 4*200 = <<200*4=800>>800 football cards. The total number of football and hockey cards in the bag is 800+200 = <<800+200=1000>>1000 cards. The bag contains 50 fewer baseball cards than football cards, meaning there are 800-50 = 750 baseball cards. Altogether, there are 750+1000 = <<750+1000=1750>>1750 cards. #### 1750 A bag of caramel cookies has 20 cookies inside and a box of cookies has 4 bags in total. How many calories are inside the box if each cookie is 20 calories? If 1 bag has 20 cookies and a box has 4 bags, then in total there are 20*4=<<20*4=80>>80 cookies inside the box If 1 cookie has 20 calories and there are 80 cookies in the box, then the box has in total 20*80=<<20*80=1600>>1600 calories #### 1600 A water tank has a capacity of 4000 gallons. Mack connects a pipe to the tank that fills the tank with water at the rate of 10 gallons per hour. How long will it take to fill the tank to 3/4 of its capacity? 3/4 of the water tank is 3/4*4000 = <<3/4*4000=3000>>3000 If the pipe fills the tank with water at the rate of 10 gallons per hour, it will take 3000/10 = <<3000/10=300>>300 hours to fill the tank to 3/4 of its capacity #### 300 There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family? A total of 3 + 2 = <<3+2=5>>5 slices of bread are consumed by each member every day. So a family consumes a total of 5 x 4 = <<5*4=20>>20 slices of bread every day. Five loaves of bread have 5 x 12 = <<5*12=60>>60 slices of bread. Thus, the 5 loaves of bread last for 60/20 = <<60/20=3>>3 days. #### 3 To make 3 km, Ben walked for 2 hours. Continuing at the same speed, how much time in minutes would it take him to travel 12 km? We have 12 km / 3 km = <<12/3=4>>4. So, the distance covered in 12 km is 4 times greater than 3 km. The time taken will also be 4 times greater. So, 2 hours x 4 = <<2*4=8>>8 hours. We convert the time to minutes: 8 hours * 60 minutes/hour = <<8*60=480>>480 minutes. #### 480 Each week Carina puts 20 more seashells in a jar than she did the week before. If there are 50 seashells in the jar this week, how many will there be in a month? In one week there will be 50+20=<<50+20=70>>70 seashells In two weeks there will be 70+20=<<70+20=90>>90 seashells In three weeks there will be 90+20=<<90+20=110>>110 seashells In four weeks there will be 110+20=<<110+20=130>>130 seashells #### 130 On a particular day, Rose's teacher read the register and realized there were twice as many girls as boys present on that day. The class has 250 students, and all the 140 girls were present. If all the absent students were boys, how many boys were absent that day? If there were twice as many girls as boys present that day, then the number of boys is 140 girls / 2 girls/boy = <<140/2=70>>70 boys. The total number of students present that day is 140 girls + 70 boys = <<140+70=210>>210 students. If the class has 250 students, then the number of boys absent is 250 students - 210 students = <<250-210=40>>40 boys. #### 40 There are 4 wolves out hunting for the pack. The pack contains 16 additional wolves. Each wolf needs to eat 8 pounds of meat a day and the wolves won't hunt again for five days. If each deer contains 200 pounds of meat, how many deer does each wolf need to kill? The wolf pack has 20 members because 4 + 16 = <<4+16=20>>20 They need 160 pounds of meat a day because 20 x 8 = <<20*8=160>>160 They need 800 pounds to last five days because 5 x 160 = <<5*160=800>>800 The hunters need to kill 4 deer because 800 / 200 = <<800/200=4>>4 They each need to kill one deer because 4 / 4 = <<4/4=1>>1 #### 1 The length of a red bus is four times the length of an orange car. The length of the orange car is also 3.5 times shorter than the length of a yellow bus. If the yellow bus and red bus are sitting next to each other, what length of the red bus may the yellow bus driver see if the red bus is 48 feet long? If the red bus is 48 feet long, the orange car is 48/4 = <<48/4=12>>12 feet long. Since the length of the orange car is 3.5 times shorter than a yellow bus, the yellow bus is 3.5*12 = <<3.5*12=42>>42 feet long. If sitting next to each other, the driver of the yellow car will see 48-42 = <<48-42=6>>6 feet of the red bus. #### 6