Mr. Langsley commutes to work every day by bus. The bus picks him up at 6:00 a.m. and takes forty minutes to arrive at the first station. If Mr. Langsley arrives at work at 9:00 a.m., what's the total time taken in minutes from the first station to Mr. Langsley's workplace?

How long does the journey take? ** The total time taken for the whole journey is 9:00-6:00 =

<<9-6=3>>3 hours. How long does the journey take in minutes? ** The total time taken in minutes is 3*60 = <<3*60=180>>180 minutes. How long does the journey take from the first station to Mr. Langsley's workplace? ** If it takes 40 minutes to reach the first station, then the rest of the journey takes 180 - 40 = <<180-40=140>>140 minutes. #### 140 Jacob loves to build things. In Jacob's toy bin there are 18 red blocks. There are 7 more yellow blocks than red blocks. There are also 14 more blue blocks than red blocks. How many blocks are there in all? How many yellow blocks are there? ** The number of yellow blocks is 18 blocks + 7 blocks = <<18+7=25>>25 blocks. How many blue blocks are there? ** The number of blue blocks is 18 blocks + 14 blocks = <<18+14=32>>32 blocks. How many blocks are there in all? ** The total number of red, yellow, and blue blocks is 18 blocks + 25 blocks + 32 blocks = <<18+25+32=75>>75 blocks. #### 75 John has a donkey and an elephant. The elephant weighs 3 tons (a ton is 2000 pounds). The donkey weighs 90% less. What is their combined weight in pounds? How much does the elephant weigh? ** The elephant weighs 3*2000=<<3*2000=6000>>6000 pounds How much does the donkey weigh? ** The donkey weighs 6000*.9=<<6000*.9=5400>>5400 pounds less How much does the donkey weigh? ** So the donkey weighs 6000-5400=<<6000-5400=600>>600 pounds What is their combined weight in pounds? ** That means the combined weight is 600+6000=<<600+6000=6600>>6600 pounds #### 6600 Ray has 95 cents in nickels. If Ray gives 25 cents to Peter, and twice as many cents to Randi as he gave to Peter, how many nickels does Ray have left? How many cents did Ray give to Randi? ** Ray gave 25*2 = <<25*2=50>>50 cents to Randi. How many cents does Ray have left? ** Ray has 95-25-50 = <<95-25-50=20>>20 cents in nickels left. How many nickels does Ray have left? ** Ray has 20/5 = <<20/5=4>>4 nickels. #### 4 Mac loves the shape of quarters and is willing to trade money for them, even if he loses value. He tells his brother that he will trade him 3 dimes for a quarter or 7 nickels. He trades for 20 quarters with dimes and 20 quarters with nickels. How many dollars did Mac lose? How much are 3 dimes? ** Three dimes is equal to $.3 because 3 x .1 = <<3*.1=.3>>.3 How much are 7 nickels? ** Seven nickels is equal to $.35 because 7 x .05 = <<7*.05=.35>>.35 How much does Mac lose each time he trades with dimes? ** Each time he trades with dimes he lose $.05 because .3 - .25 = <<.3-.25=.05>>.05 How much does Mac lose each time he trades with nickels? ** Each time he traded with nickels he lost $.1 because .35 - .25 = <<.35-.25=.1>>.1 How much did Mac lose from trading with dimes? ** He lost $1 from trading with dimes because 20 x .05 =<<20*.05=1>>1 How much did Mac lose from trading with nickels? ** He lost $2 from trading with nickels because 20 x .1 = <<20*.1=2>>2 How much did Mac lose? ** He lost $3 total because 1 + 2 = <<1+2=3>>3 #### 3 Carmen is counting the cars that pass by her window. All the cars are either white, black, or red. She sees 50 trucks and 40 cars. Half the trucks are red, and another 20% are black. If she picks one car at random, what is the percentage chance it's a white truck, rounded to the nearest integer? How many vehicles did Carmen count? ** First find the total number of vehicles Carmen counted: 50 trucks + 40 cars = <<50+40=90>>90 vehicles How many trucks were red? ** Then find the number of trucks that were red: 50 trucks / 2 = <<50/2=25>>25 trucks How many trucks were black? ** Then find the number of trucks that were black: 50 trucks * .2 = <<50*.2=10>>10 trucks How many white trucks were there? ** Then subtract the red and black trucks from the total number of trucks to find the number of white trucks: 50 trucks - 25 trucks - 10 trucks = <<50-25-10=15>>15 trucks What is the percentage of white trucks? ** Then divide the number of white trucks by the number of vehicles and multiply by 100% to find the percentage of vehicles that are white trucks: 15 trucks / 90 vehicles * 100% = 16.66...%, which rounds up to 17%. #### 17 Darlene's car gets 20 miles/gallon. Martha's car gets half as many miles per gallon as Darlene’s car. How many gallons does Martha’s car require to make a 300-mile trip? How many miles per gallon does Martha's car get? ** Martha’s car gets 20/2 = <<20/2=10>>10 miles per gallon. How many gallons does Martha’s car require to make a 300-mile trip? ** Total gallons Martha’s car requires is 300/10 = <<300/10=30>>30 gallons. #### 30 Miggy's mom brought home 3 bags of birthday hats. Each bag has 15 hats. Miggy accidentally tore off 5 hats. During the party, only 25 hats were used. How many hats were unused? How many hats are there? ** There are a total of 15 x 3 = <<15*3=45>>45 hats in 3 bags. How many hats were left? ** Since 5 tore off, only 45 - 5 = <<45-5=40>>40 hats were left. How many hats were unused? ** Thus, 40 - 25 = <<40-25=15>>15 hats were unused. #### 15 There are many CDs in the store. The rock and roll CDs are $5 each, the pop CDs are $10 each, the dance CDs are $3 each, and the country CDs are $7 each. Julia wants to buy 4 of each, but she only has 75 dollars. How much money is she short? How much will the Rock and Roll CDs cost? ** Rock and Roll CDs will be 5*4 = <<5*4=20>>20 dollars. How much will the Pop CDs cost? ** Pop CDs will be 10*4 = <<10*4=40>>40 dollars. How much will the Dance CDs cost? ** Dance CDs will be 3*4 = <<3*4=12>>12 dollars. How much will the CountryCDs cost? ** Country CDs will be 7*4 = <<7*4=28>>28 dollars. How much money does she need? ** In total Julia would need 20+40+12+28 = <<20+40+12+28=100>>100 dollars. How much money is she short? ** Julia is short 100-75 = <<100-75=25>>25 dollars. #### 25 Bob and Kate went to a restaurant for dinner. After they were done eating the waitress gave a $30 bill to Bob and a $25 bill to Kate, but told them they were eligible for special discounts; 5% for Bob, 2% for Kate. Considering the discounts, how much do they have to pay in total? How much is 5% of $30? ** 5% of $30 is (5/100)*30 = $<<(5/100)*30=1.5>>1.5 How much will Bob pay? ** The dollar amount of Bob's discount is $1.5 so he will pay $30-$1.5 = $28.5 How much is 2% of $25? ** 2% of $25 is (2/100)*$25 = $<<2/100*25=0.5>>0.5 How much will Kate pay? ** The dollar amount of Kate's discount is $0.5 so she will pay $25-$0.5 = $<<25-0.5=24.5>>24.5 How much will they pay in total? ** Altogether they will pay $28.5+$24.5 = $<<28.5+24.5=53>>53 #### 53