In a truck, there are 26 pink hard hats, 15 green hard hats, and 24 yellow hard hats. If Carl takes away 4 pink hard hats, and John takes away 6 pink hard hats and twice as many green hard hats as the number of pink hard hats that he removed, then calculate the total number of hard hats that remained in the truck.

How many pink hard hats remained after Carl took away 4? ** If there were 26 pink hard hats and Carl took away 4 pink hard hats, the number of pink hard hats that remained is 26-4 =

<<26-4=22>>22 How many pink hard hats remained after John took away 6? ** John also took away 6 pink hard hats, leaving 22-6 = <<22-6=16>>16 pink hard hats in the truck. How many green hard hats did John take away? ** If John also took twice as many green hard hats as pink hard hats, he took 2*6 = <<6*2=12>>12 green hard hats. How many green hard hats remained after John took away 12? ** The total number of green hard hats that remained in the truck is 15-12 = <<15-12=3>>3 How many hard hats remained in the truck after some are taken? ** In the truck, after some are taken, there were 3 green hard hats + 16 pink hard hats = <<3+16=19>>19 hard hats in the truck. How many hard hats remained in the truck? ** Altogether, 19 green and pink hard hats + 24 yellow hards hats = <<19+24=43>>43 hard hats remained in the truck #### 43 It takes Roque two hours to walk to work and one hour to ride his bike to work. Roque walks to and from work three times a week and rides his bike to and from work twice a week. How many hours in total does he take to get to and from work a week with walking and biking? How many hours does Roque take each week to walk to work? ** Roque takes 2*3 = <<2*3=6>>6 hours a week to walk to work. How many hours does Roque take each week to walk to and from work? ** Roque takes 6*2 = <<6*2=12>>12 hours a week to walk to and from work. How many hours does Roque take each week to bike to work? ** Roque takes 1*2 = <<1*2=2>>2 hours a week to bike to work. How many hours does Roque take each week to bike to and from work? ** Roque takes 2*2 = <<2*2=4>>4 hours a week to bike to and from work. How many hours in total does he take to get to and from work a week with walking and biking? ** In total, Roque takes 12+4 = <<12+4=16>>16 hour a week to go to and from work. #### 16 Tim rides his bike back and forth to work for each of his 5 workdays. His work is 20 miles away. He also goes for a weekend bike ride of 200 miles. If he can bike at 25 mph how much time does he spend biking a week? How many miles does Tim bike each day? ** He bikes 20*2=<<20*2=40>>40 miles each day for work How many miles does Tim bike for work? ** So he bikes 40*5=<<40*5=200>>200 miles for work How many miles does Tim bike for work? ** That means he bikes a total of 200+200=<<200+200=400>>400 miles for work How many hours does Tim bike a week? ** So he bikes a total of 400/25=<<400/25=16>>16 hours #### 16 Bella bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Bella bought 11 snowflake stamps. She bought 9 more truck stamps than snowflake stamps, and 13 fewer rose stamps than truck stamps. How many stamps did Bella buy in all? How many truck stamps did Bella buy? ** The number of truck stamps is 11 + 9 = <<11+9=20>>20. How many rose stamps did Bella buy? ** The number of rose stamps is 20 − 13 = <<20-13=7>>7. How many stamps did Bella buy in all? ** Bella bought 11 + 20 + 7 = <<11+20+7=38>>38 stamps in all. #### 38 Each bird eats 12 beetles per day, each snake eats 3 birds per day, and each jaguar eats 5 snakes per day. If there are 6 jaguars in a forest, how many beetles are eaten each day? How many snakes are eaten? ** First find the total number of snakes eaten: 5 snakes/jaguar * 6 jaguars = <<5*6=30>>30 snakes How many birds are eaten? ** Then find the total number of birds eaten per day: 30 snakes * 3 birds/snake = <<30*3=90>>90 snakes How many beetles are eaten? ** Then multiply the number of snakes by the number of beetles per snake to find the total number of beetles eaten per day: 90 snakes * 12 beetles/snake = <<90*12=1080>>1080 beetles #### 1080 Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name? How many letters are in Bobbie’s last name? ** There are 4 letters in Jamie’s last name, so Bobbie’s name is 4*2 +2 = <<4*2+2=10>>10 letters long. How many letters are in Samantha’s last name? ** Samantha’s last name is 3 letters shorter than Bobbie’s, so there are 10 - 3 = <<10-3=7>>7 letters in Samantha’s last name. #### 7 Ann's favorite store was having a summer clearance. For $75 she bought 5 pairs of shorts for $7 each and 2 pairs of shoes for $10 each. She also bought 4 tops, all at the same price. How much did each top cost? How much did Ann buy in shorts? ** She bought 5 shorts at $7 each so 5*7=$<<5*7=35>>35 How much did Ann buy in shoes? ** She bought 2 pair of shoes at $10 each so 2*10=$<<2*10=20>>20 How much did Ann buy in total? ** The shorts and shoes cost her 35+20 = $<<35+20=55>>55 How much did Ann spend in total? ** We know she spent 75 total and the shorts and shoes cost $55 which left a difference of 75-55 = $<<75-55=20>>20 How much did each top cost? ** She bought 4 tops for a total of $20 so 20/4 = $5 #### 5 Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? How much has Mary paid back so far? ** So far, Mary has paid back $15 +$23=$<<15+23=38>>38 of the credit. How much does Mary need to pay before her next shopping trip? ** So she still needs to pay $100-$38=$<<100-38=62>>62 #### 62 Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit? How many tennis balls did Ralph not hit? ** Out of the first 100 balls, Ralph was able to hit 2/5 of them and not able to hit 3/5 of them, 3/5 x 100 = 60 tennis balls Ralph didn't hit. How many tennis balls did Ralph not hit? ** Out of the next 75 balls, Ralph was able to hit 1/3 of them and not able to hit 2/3 of them, 2/3 x 75 = 50 tennis balls that Ralph didn't hit. How many tennis balls did Ralph not hit? ** Combined, Ralph was not able to hit 60 + 50 = <<60+50=110>>110 tennis balls Ralph didn't hit. #### 110 Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates? How many liters of the seawater are salt? ** First find how many liters of the seawater are salt: 2 liters * 20% = <<2*20*.01=.4>>.4 liters How many ml of salt will Jack get? ** Then multiply that amount by 1000 ml/liter to find the number of ml of salt Jack gets: .4 liters * 1000 ml/liter = <<.4*1000=400>>400 ml #### 400