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.
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. 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. From work to home, while riding the bike, Luke spends 5*70 = <<5*70=350>>350 minutes on the road. The total time Luke takes to travel from home to work and back is 350+70 = <<350+70=420>>420 minutes. 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? The amount of money Diana earned in August is 3 * $150 = $<<3*150=450>>450. The amount of money Diana earned in September is 2 * $450 = $<<2*450=900>>900. 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? Let J = Josh's distance 2J = Selena's distance J + 2J = 36 3J = <<36=36>>36 miles J = <<12=12>>12 2J = <<24=24>>24 miles 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? Elyse gave half of her 100 pieces of gum, or 100 / 2 = <<100/2=50>>50 pieces of gum, to Rick. Rick gave half of his 50 pieces of gum, or 50 / 2 = <<50/2=25>>25 pieces of gum, to Shane. 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? 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. 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. Each box of cups initially has 5 rows x 4 cups = <<5*4=20>>20 teacups inside. Samuel breaks cups each time he picks up a box, which means each box now contains 20 – 2 = <<20-2=18>>18 teacups. 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? 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 If Bob's salary increased by 20% this year, he is earning 20/100*$12000= $<<20/100*12000=2400>>2400 more 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? On the 2nd week, Paul halved the first week's sugar, therefore he used 24/2 = <<24/2=12>>12 cups The third week, Paul used 12/2 = <<12/2=6>>6 cups The fourth week, he used 6/2 = <<6/2=3>>3 cups #### 3 Russel and Jen went to the circus. Jen played a shooting game twice, while Russel rode the carousel three times. If the shooting game costs 5 tickets and the carousel costs 3 tickets. How many tickets did they use? Jen used 5 x 2 = <<5*2=10>>10 tickets in the shooting game. Russel used 3 x 3 = <<3*3=9>>9 tickets in the carousel. Therefore, they used 10 + 9 = <<10+9=19>>19 tickets in all. #### 19 Billy has four horses. Each one eats 4 pounds of oats, twice a day. How many pounds of oats does he need to feed his horses for 3 days? At each feeding Billy serves 4 horses x 4 pounds of oats/horse = <<4*4=16>>16 pounds/feeding Each day Billy uses 16 pounds of oats/feeding x 2 feedings/day = <<16*2=32>>32 pounds of oats/day Triple that amount to find the amount of oats needed to feed the four horses for three days: 32 pounds of oats/day x 3 days = <<32*3=96>>96 pounds #### 96 Zainab earns $2 an hour passing out flyers at the town square. She passes out flyers on Monday, Wednesday, and Saturday each week, for 4 hours at a time. After passing out flyers for 4 weeks, how much money will Zainab earn? Every day Zainab passes out flyers, she earns $2 x 4 = $<<2*4=8>>8 If she hands out flyers for 3 days, she'll earn $8/day * 3 days = $<<8*3=24>>24 If she passes out flyers for 4 weeks, she will earn $24 * 4 = $<<24*4=96>>96 #### 96