Mrs. Taylor bought two smart televisions that cost $650 each. If the total sales price had a 25% discount, how much did Mrs. Taylor pay for the two televisions?

How much did Mrs. Taylor buy the two smart televisions for? ** The total cost of the two smart televisions is $650 x 2 = $

<<650*2=1300>>1300. How much did Mrs. Taylor get a discount on the two smart televisions? ** The total discount of the two smart televisions is $1300 x 25/100 = $<<1300*25/100=325>>325 How much did Mrs. Taylor pay for the two smart televisions? ** Mrs. Taylor paid $1300 - $325 = $<<1300-325=975>>975 for the two smart televisions. #### 975 Eastern rattlesnakes have 6 segments in their tails, while Western rattlesnakes have 8 segments. What is the percentage difference in their tail size, expressed as a percentage of the Western rattlesnake's tail size? How many segments are in the Western rattlesnake's tail? ** First find the difference in size between the two kinds of snake tail: 8 segments - 6 segments = <<8-6=2>>2 segments How many segments are in the Western rattlesnak's tail? ** Then divide that amount by the size of the Western rattlesnake's tail and multiply by 100% to express the answer as a percentage: 2 segments / 8 segments * 100% = 25% #### 25 Job is a farmer who rears cattle and grows crops. In total he has 150 hectares of land. 25 hectares are occupied by his house and farm machinery, and 15 hectares have been reserved for future expansion. 40 hectares are dedicated to rearing cattle. Assuming the rest of his land is used for crops, how many hectares of land does Job use for crop production? How many hectares of land does Job use for non-crop purposes? ** Job uses 25 + 15 + 40 = <<25+15+40=80>>80 hectares of land for non-crop purposes. How many hectares of land does Job use for crop production? ** Thus he uses 150 - 80 = <<150-80=70>>70 hectares for crop production. #### 70 Luke takes a 70-minute bus to work every day. His coworker Paula takes 3/5 of this time to arrive by bus at work. If Luke takes a bike ride back home every day, 5 times slower than the bus, and Paula takes the bus back home, calculate the total amount of time, in minutes, they take traveling from home to work and back each day. How many minutes does Paula take to travel from home to work? ** When Luke takes the 70-minute bus to work, his coworker Paula takes 3/5*70 = <<70*3/5=42>>42 minutes to travel from home to work. How many minutes does Paula spend traveling from home to work and back? ** From work to home, Paula spends the same amount of time she spent going to work, giving a total of 42+42 = <<42+42=84>>84 minutes in a day traveling. How many minutes does Luke spend traveling from home to work and back? ** From work to home, while riding the bike, Luke spends 5*70 = <<5*70=350>>350 minutes on the road. How many minutes does Luke take to travel from home to work and back? ** The total time Luke takes to travel from home to work and back is 350+70 = <<350+70=420>>420 minutes. How many minutes do Luke and Paula take traveling from home to work and back? ** Together, Luke and Paula takes 420+84 = <<420+84=504>>504 minutes #### 504 Diana earned $150 in July. She earned 3 times this amount in August. In September, She earned twice the money she earned in August. How much money did Diana earn over these three months? How much money did Diana earn in August? ** The amount of money Diana earned in August is 3 * $150 = $<<3*150=450>>450. How much money did Diana earn in September? ** The amount of money Diana earned in September is 2 * $450 = $<<2*450=900>>900. How much money did Diana earn over the three months? ** The total amount of money Diana earned over the three months is $150 + $450 + $900 = $<<150+450+900=1500>>1500. #### 1500 Selena and Josh were running in a race. Together they ran 36 miles. Josh ran half of the distance that Selena ran. How many miles did Selena run? Define a variable ** Let J = Josh's distance How far did Selena run? ** 2J = Selena's distance Write an equation ** J + 2J = 36 Combine like terms ** 3J = <<36=36>>36 miles Divide by 3 ** J = <<12=12>>12 How many miles did Selena run? ** 2J = <<24=24>>24 miles How many miles did Selena run? ** Selena ran 24 miles. #### 24 Elyse had 100 pieces of gum. She gave half to her brother Rick. He gave half of his to his friend Shane. Shane chewed 11 pieces of gum. How many pieces does Shane have left? How many pieces of gum did Elyse give to Rick? ** Elyse gave half of her 100 pieces of gum, or 100 / 2 = <<100/2=50>>50 pieces of gum, to Rick. How many pieces of gum did Rick give to Shane? ** Rick gave half of his 50 pieces of gum, or 50 / 2 = <<50/2=25>>25 pieces of gum, to Shane. How many pieces of gum does Shane have left? ** Shane had 25 pieces of gum and chewed 11, so he had 25 – 11 = <<25-11=14>>14 pieces of gum left. #### 14 Samuel is arranging his grandma’s teacups. They are stored in boxes and inside the boxes, they are stacked 5 rows high with 4 cups in each row. Of the 26 boxes in her attic, 6 of the boxes contain pans, half of the remaining boxes contain decorations, and the rest of the boxes contain her teacups. Samuel breaks 2 of the cups every time he picks up one of the boxes. By the time Samuel has taken all of the teacups out of the boxes, how many teacups are left? How many boxes are either decorations or teacups? ** Taking the boxes of pans out of the total attic boxes shows that 26 boxes – 6 boxes of pans = 20 boxes are either decorations or teacups. How many boxes are teacups? ** Since half of these boxes are decorations, the other half must be made up of 20 boxes / 2 = <<20/2=10>>10 boxes of teacups. How many teacups are in each box? ** Each box of cups initially has 5 rows x 4 cups = <<5*4=20>>20 teacups inside. How many teacups are in each box after Samuel breaks 2 cups? ** Samuel breaks cups each time he picks up a box, which means each box now contains 20 – 2 = <<20-2=18>>18 teacups. How many teacups are left? ** Therefore, there are 10 boxes * 18 teacups = <<10*18=180>>180 teacups left. #### 180 Mario's salary increased by 40% to $4000 this year. Bob's salary from last year was equal to three times Mario's salary this year. If Bob's current salary is 20% more than his salary last year, what is his current salary? How much was Bob's salary last year? ** Last year, Bob's salary was equal to three times Mario's salary this year, meaning Bob was earning 3*$4000 = $<<3*4000=12000>>12000 How much did Bob's salary increase by this year? ** If Bob's salary increased by 20% this year, he is earning 20/100*$12000= $<<20/100*12000=2400>>2400 more How much is Bob's current salary? ** Bob's total salary this year is $12000+$2400= $<<12000+2400=14400>>14400 #### 14400 Every week of last month Paul tried out a new cake recipe. The first week, he followed a cake recipe that called for 24 cups of sugar. Each week after that, he reduced the amount of sugar by half. How much sugar did he use for the cake on the fourth week? How much sugar did Paul use on the second week? ** On the 2nd week, Paul halved the first week's sugar, therefore he used 24/2 = <<24/2=12>>12 cups How much sugar did Paul use on the third week? ** The third week, Paul used 12/2 = <<12/2=6>>6 cups How much sugar did Paul use on the fourth week? ** The fourth week, he used 6/2 = <<6/2=3>>3 cups #### 3