Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

How many miles did Roger ride his bike for in the evening? ** Roger rode for 2 miles in the morning, and then 5 times that in the evening for 5*2=10 miles ridden in the evening

How many miles did Roger ride his bike for in total? ** In total, that means Roger rode 2+10=

<<2+10=12>>12 miles over the course of the day. #### 12 Merill has twice as many marbles as Elliot and the two of them together have five fewer marbles than Selma. If Selma has fifty marbles, how many marbles does Merill have? How many marbles does Merill and Elliot together have? ** If Selma has fifty marbles, then Merill and Elliot together have 50-5 = <<50-5=45>>45 marbles. Define a variable ** We'll assume the number of marbles that Elliot has is x. Write an equation ** If Merill has twice as many marbles as Elliot, then the total number of marbles that Merill and Elliot have together is 2x+x = 45 marbles. Simplify ** This translates to 3x= 45 How many marbles does Elliot have? ** The number of marbles that Elliot has is x = 45/3 How many marbles does Elliot have? ** This means Elliot has x = 15 marbles. How many marbles does Merill have? ** Since Merill has twice as many marbles as Elliot, Merill has 2*15 = <<2*15=30>>30 marbles. #### 30 Harrison buys a regular croissant on Saturdays for $3.50 and an almond croissant for $5.50 on Sundays. How much does he spend on croissants in a year? How much does he spend on pastries in a weekend? ** He buys a plain croissant for $3.50 and an almond croissant for $5.50 for a total of $3.50 + $5.50 = $<<3.5+5.5=9.00>>9.00 on pastries per weekend How much does he spend on pastries in a year? ** In one year, which is 52 weeks, he spends 52*$9 = $<<52*9=468.00>>468.00 on pastries #### 468 There are 25 different layers of rock in a canyon’s strata. Five of the layers are limestone. Half of the rest are sandstone. Four of the remaining are quartz. Half of the rest are shale. The rest are all different kinds of rock. How many kinds of rock make up only one layer in the canyon’s strata? How many layers of rock are not limestone? ** There are 25 - 5 = <<25-5=20>>20 layers of rock that are not limestone. How many layers of rock are not limestone or sandstone? ** Half of those 20 are sandstone, so there are 20 / 2 = <<20/2=10>>10 that are not limestone or sandstone. How many layers of rock are not limestone, sandstone, or quartz? ** Four of those are quartz, so 10 - 4 = <<10-4=6>>6 layers are not limestone, sandstone, or quartz. How many kinds of rock make up only one layer in the strata? ** Half of the rest are shale, so 6 / 2 = <<6/2=3>>3 kinds of rock remain that make up only one layer in the strata. #### 3 Micah picks 2 dozen strawberries from the field. He eats 6 and saves the rest for his mom. How many strawberries are there for his mom? How many strawberries does Micah pick? ** Micah picks 2 x 12 = <<2*12=24>>24 strawberries. How many strawberries are left for his mom? ** After he eats 6, there are this many strawberries left for his mom: 24 - 6 = <<24-6=18>>18. #### 18 One barnyard owl makes 5 hoot sounds per minute. If 5 less than 20 hoots per minute are heard coming out of the barn, how many Barnyard owls would this noise be coming from? How many hoots are heard? ** 5 less than 20 hoots per minute is 20-5=<<20-5=15>>15 hoots per minute. How many barnyard owls are making the noise? ** If one barnyard owl makes 5 hoot sounds per minute, then 15 hoots per minute are coming from 15/5=<<15/5=3>>3 barnyard owls. #### 3 Hayes does 3 loads of laundry a week using a detergent pod for each load. His detergent pods come 39 to a pack. How many packs of detergent pods will he need to do a full year of laundry? How many detergent pods does Hayes use in a year? ** He uses 3 detergent pods a week and there are 52 weeks in a year, so he uses 3*52 = <<3*52=156>>156 How many packs of detergent pods will he need to do a full year of laundry? ** His detergent has 39 pods per pack and he needs 156 pods, so he will need 156/39 = <<156/39=4>>4 packs of detergent pods #### 4 There are 336 books in a library. On Monday, 124 books are taken out. On Tuesday, 22 books are brought back. How many books are there now? How many books are left after Monday? ** At the end of Monday, there are 336 - 124 = <<336-124=212>>212 books left. How many books are there after Tuesday? ** At the end of Tuesday, there are 212 + 22 = <<212+22=234>>234 books. #### 234 Carla needs to drive her car to do a bunch of errands. She needs to drive 8 miles to the grocery store, 6 miles to pick up her kids from school, 12 miles to drop her kids off at soccer practice, and twice the distance from the school to soccer practice to get everyone home again. If Carla's car gets 25 miles per gallon, and gas costs $2.50, how much will Carla have to spend on gas for her trip? How far is it from soccer practice to home? ** First find the distance between soccer practice and home by multiplying the distance between soccer practice and school by 2: 12 miles * 2 = <<12*2=24>>24 miles How far does Carla drive? ** Then find the total distance Carla drives by adding the length of each trip: 24 miles + 12 miles + 6 miles + 8 miles = <<24+12+6+8=50>>50 miles How many gallons of gas does Carla need? ** Then find how many gallons of gas she needs by dividing the distance of the trip by her car's gas mileage: 50 miles / 25 mpg = <<50/25=2>>2 gallons How much will Carla spend on gas? ** Then multiple the gallons of gas by the price per gallon to find the total cost: 2 gallons * $2.50 = $<<2*2.5=5>>5 #### 5 On Monday, Mack writes in his journal for 60 minutes at a rate of 1 page every 30 minutes. On Tuesday, Mack writes in his journal for 45 minutes at a rate of 1 page every 15 minutes. On Wednesday, Mack writes 5 pages in his journal. How many pages total does Mack write in his journal from Monday to Wednesday? How many pages does Mack write on Monday? ** On Monday, Mack writes 60 / 30 = <<60/30=2>>2 pages How many pages does Mack write on Tuesday? ** On Tuesday, Mack writes 45 / 15 = <<45/15=3>>3 pages How many pages total does Mack write in his journal from Monday to Wednesday? ** In total, from Monday to Wednesday, Mack writes 2 + 3 + 5 = <<2+3+5=10>>10 pages #### 10