When Nathan is cold, he adds an extra blanket to his bed. Each blanket warms him up by 3 degrees. One night, he was cold enough that he added half of the 14 blankets in his closet on his bed. How many degrees did the blankets warm Nathan up?

How many blankets did Nathan add to his bed? ** Nathan added 14 / 2 =

<<14/2=7>>7 blankets to his bed. How many degrees did the blankets warm Nathan up? ** The blankets warmed Nathan up 7 * 3 = <<7*3=21>>21 degrees. #### 21 10 boxes each contain 50 bottles of water. Each bottle has a capacity of 12 liters and is filled up to 3/4 of its capacity. How many liters of water altogether are contained within the bottles in the boxes? How many liters of water does each bottle carry? ** Since each water bottle has a capacity of 12 liters, when filled up to 3/4 of capacity, each carries 3/4*12 = <<3/4*12=9>>9 liters of water. How many liters of water are carried by the bottles in a box? ** If there are 50 bottles of water in each box, the number of liters the water bottles in a box are carrying is 50*9 = <<50*9=450>>450 liters. How many liters of water are contained in the bottles in the boxes? ** In 10 boxes containing bottled water, the total number of liters in the water bottles is 450*10 =<<450*10=4500>>4500 liters. #### 4500 Yanna bought ten shirts at $5 each and three pairs of sandals at $3 each. How much change did she get back if she gave a one hundred dollar bill? How much did the shirts cost? ** Ten shirts cost 10 x $5 = $<<10*5=50>>50. How much did the sandals cost? ** And, three pairs of sandals cost 3 x $3 = $<<3*3=9>>9. How much did Yanna spend? ** Thus, she spent $50 + $9= $<<50+9=59>>59. How much change did she get back? ** Therefore, she got back change of $100 - $59 = $<<100-59=41>>41. #### 41 Jamie is a firefighter. One day an emergency call comes in from Mrs. Thompson, an elderly woman whose cat can't get down a 20-foot tree. The last time Jamie rescued a cat, he got it down from a 6-foot tree and had to climb 12 rungs of his ladder. How many rungs does he have to climb this time to get the cat down from the tree? How many rungs did Jamie climb to save the first cat? ** Jamie needed 12/6 = <<12/6=2>>2 rungs per foot of the tree to save the first cat. How many rungs does Jamie need to climb this time? ** To climb a 20-foot tree, Jamie needs 20*2 = <<20*2=40>>40 rungs #### 40 Sanya can wash 7 bath towels in one wash, which will take 1 hour. She only has 2 hours in a day to do this task. If she has 98 bath towels, how many days will she need to wash all of them? How many towels can Sanya wash in one day? ** Every day, Sanya can wash 7 x 2 = <<7*2=14>>14 bath towels. How many days will Sanya need to wash all the towels? ** To wash all the towels, she will need 98 / 14 = <<98/14=7>>7 days. #### 7 Ten more than twice the number of birds on the fence is 50. How many birds are on the fence? Define a variable ** Let x be the number of birds on the fence. We know that 10 + 2*x = 50. Simplify ** Subtracting 10 from both sides, we get 2*x = 50 - 10 = 40 Divide by 2 ** Dividing both sides by 2, we get x = 20 #### 20 Toby has 63 photos on his camera roll. He deletes seven bad shots, takes fifteen pictures of his cat, and then does a photo shoot with his friends. After editing the photos with his friends, he decides to delete three of them. His camera roll has 84 photos in the end. How many photos did Toby take in the photo shoot? Define a variable ** Let P be the number of photos in the photo shoot. How many photos did Toby have after deleting 7 shots? ** After Toby deleted 7 shots, he had 63 - 7 = <<63-7=56>>56 photos. How many photos did Toby have after taking 15 cat pictures? ** After taking 15 cat pictures, he had 56 + 15 = <<56+15=71>>71 photos. How many photos did Toby have after the photo shoot? ** After the photo shoot, he had 71 + P photos. How many photos did Toby have after deleting 3 photos? ** After deleting 3 photos, he had 71 + P - 3 = <<71+-3=68>>68 + P photos. How many photos did Toby have in the end? ** He had 68 + P = 84 photos in the end. How many photos did Toby take in the photo shoot? ** Thus, Toby took P = 84 - 68 = <<84-68=16>>16 photos in the photo shoot. #### 16 In a classroom of 81 students, two-thirds are wearing striped shirts while the others are wearing checkered shirts. If there are 19 more students wearing shorts than checkered shirts, how many more students are wearing striped shirts than shorts? How many students are wearing checkered shirts? ** 81/3 = <<81/3=27>>27 students are wearing checkered shirts. How many students are wearing striped shirts? ** 27 x 2 = <<27*2=54>>54 students are wearing striped shirts. How many students are wearing shorts? ** 27 + 19 = <<27+19=46>>46 students are wearing shorts. How many more students are wearing striped shirts than shorts? ** 54 - 46 = <<54-46=8>>8 more students are wearing striped shirts than shorts. #### 8 A teacher has to order supplies for his class to do a science project. Each student needs a bow, a small bottle of vinegar and a box of baking soda. Bows are $5 each, a bottle of vinegar is $2 and a box of baking soda is $1. The teacher has 23 students in this class. How much will the supplies cost? How much will the supplies cost? ** The supplies for every student will cost 5 + 2 + 1 = $<<5+2+1=8>>8. How much will the supplies cost? ** The supplies for the whole class will cost 8 * 23 = $<<8*23=184>>184 in total. #### 184 Balki is counting the number of raisins in boxes of cereal. He counted 437 total raisins in 5 boxes. In one box he counted 72 raisins. In a second box he counted 74 raisins. The other three boxes had the same number each. How many were in each of the other three boxes? How many raisins were in each of the other 3 boxes? ** Let x = the number of raisins in each of the other 3 boxes. Then 72 + 74 + 3x = 437 raisins How many raisins were in each of the other 3 boxes? ** Combining like terms we get 146 + 3x = 437 raisins How many raisins were in each of the other 3 boxes? ** Subtracting 146 from both sides we get 3x = 291 raisins How many raisins were in each of the other 3 boxes? ** Dividing both sides by 3, we get x = 291 / 3 = 97 raisins #### 97