John has 2 umbrellas in his house and 1 in the car. If they cost $8 each, how much did he pay in total?

How many umbrellas does John have? ** He has 2+1=

<<2+1=3>>3 umbrellas How much did John pay in total? ** That means he paid 3*8=$<<3*8=24>>24 #### 24 Harper has 15 rubber bands. His brother has 6 fewer rubber bands than he has. How many rubber bands do they have together? How many rubber bands does his brother have? ** His brother has 15 rubber bands - 6 rubber bands = <<15-6=9>>9 rubber bands. How many rubber bands do they have together? ** They have 15 rubber bands + 9 rubber bands = <<15+9=24>>24 rubber bands together. #### 24 Nori had 4 boxes of crayons with 8 crayons in each box. She gave 5 crayons to Mae and also give some crayons to Lea. How many more crayons did she give to Lea than Mae if she has only 15 crayons left? How many crayons did Nori have? ** From the 4 boxes, Nori had 8 * 4 = <<8*4=32>>32 crayons How many crayons did Nori have after giving 5 crayons to Mae? ** After giving 5 crayons to Mae, she had 32 - 5 = <<32-5=27>>27 crayons left. How many more crayons did Nori give to Lea than Mae if she has only 15 crayons left? ** If she only has 15 crayons now, this means she gave Lea 27 - 15 = <<27-15=12>>12 crayons. How many more crayons does Lea have than Mae? ** Hence, Lea has 12 - 5 = <<12-5=7>>7 more crayons than Mae. #### 7 Jillian had 80 oranges which she had bought to give to her friends. She divided each orange into ten equal pieces for each friend to get four pieces. How many friends were there? How many pieces of orange did Jillian have? ** If she divided each orange into 10 pieces, she got 80*10 = <<80*10=800>>800 pieces of orange. How many friends were there? ** Since each friend received 4 pieces, there were 800/4 = <<800/4=200>>200 friends. #### 200 Kenneth has $50 to go to the store. Kenneth bought 2 baguettes and 2 bottles of water. Each baguette cost $2 and each bottle of water cost $1. How much money does Kenneth have left? How much did the baguettes cost? ** The cost of the baguettes is 2 × $2 = $<<2*2=4>>4. How much did the water cost? ** The cost of the water is 2 × $1 = $<<2*1=2>>2. How much did the shopping cost? ** The total cost of the shopping is $4 + $2 = $<<4+2=6>>6. How much money does Kenneth have left? ** Kenneth has $50 − $6 = $44 left. #### 44 Markus is twice the age of his son, and Markus's son is twice the age of Markus's grandson. If the sum of the ages of Markus, his son, and his grandson is 140 years, then how many years old is Markus's grandson? Define a variable ** Let "x" be the age of Markus's grandson. How old is Markus's son? ** If Markus's son is twice the age of Markus's grandson, then Markus's son is 2*x. How old is Markus? ** If Markus is twice the age of his son, then Markus is 2*2*x. Write an equation ** Therefore, if the sum of the ages of Markus, his son, and his grandson is 140 years, then x+(2*x)+(2*2*x)=140 years. Simplify ** Simplifying the equation, we see that 7*x=140 years. How old is Markus's grandson? ** Therefore, the age of Markus's grandson is x=20 years old. #### 20 Cindy was hired to teach 4 math courses which required her to be in the classroom for 48 hours a week altogether. How much did Cindy earn for teaching 1 math course in a month with exactly 4 weeks if her hourly rate per class is $25? How many hours does Cindy spend on 1 math course in a week? ** In a week, Cindy spends an average of 48 hours/week / 4 courses = 12 hours/week for 1 math course. How many hours does Cindy spend on 1 math course in a month? ** In a month, 1 math course is 12 hours/week x 4 weeks/month = <<12*4=48>>48 hours. How much does Cindy earn for teaching 1 math course in a month? ** Therefore, she earns $25/hour x 48 hours/week = $<<25*48=1200>>1200 a month for 1 math course. #### 1,200 Belinda’s dog is missing, so she made 200 flyers to distribute around town with the help of her friends. Ryan passed out 42 flyers, Alyssa passed out 67, Scott passed out 51 and Belinda passed out the rest. What percentage of the flyers did Belinda pass out? How many flyers did Ryan, Alyssa, and Scott pass out? ** The total number of flyers Belinda’s friends passed out was 42 by Ryan + 67 by Alyssa + 51 by Scott = <<42+67+51=160>>160 flyers. How many flyers did Belinda pass out? ** Belinda passed out 200 total flyers – 160 flyers passed out by friends = <<200-160=40>>40 flyers. What percentage of the flyers did Belinda pass out? ** To express this as a decimal, divide Belinda’s 40 flyers / 200 total flyers = <<40/200=0.20>>0.20. What percentage of the flyers did Belinda pass out? ** Belinda passed out 0.20 x 100% = 20% of the flyers. #### 20 Rookie police officers have to buy duty shoes at the full price of $85, but officers who have served at least a year get a 20% discount. Officers who have served at least three years get an additional 25% off the discounted price. How much does an officer who has served at least three years have to pay for shoes? How much do cops that have served a year pay? ** Cops that served a year pay $85 * 0.2 = $<<85*0.2=17>>17 less. How much do cops that have served a year pay? ** Cops that served a year pay $85 - $17 = $<<85-17=68>>68. How much do cops that have served at least 3 years get a discount? ** Cops that served at least 3 years get a $68 * 0.25 = $<<68*0.25=17>>17 discount. How much do cops that have served at least 3 years pay? ** Cops that served at least 3 years pay $68 - $17 = $<<68-17=51>>51 for shoes. #### 51 Keanu was surfing towards the shore at a speed of 20 miles per hour. A shark was swimming alongside him, riding the same wave, when it doubled its speed and moved away from Keanu. There was a pilot fish swimming alongside Keanu and the shark, and when the shark increased its speed, the pilot fish also increased its speed and moved away from Keanu, but only increasing its speed by half as much as the shark had increased its speed by. What speed, in miles per hour, was the pilot fish swimming when it moved away from Keanu? How fast did the shark go? ** The shark went from 20 miles per hour to a speed of 2*20=40 miles per hour. How fast did the shark go? ** The shark increased its speed by 40-20=<<40-20=20>>20 miles per hour. How fast did the shark go? ** Half of the shark's increase in speed is 20/2=<<20/2=10>>10 miles per hour. What speed, in miles per hour, was the pilot fish swimming when it moved away from Keanu? ** Thus the pilot fish had increased its speed to 20+10=<<20+10=30>>30 miles per hour. #### 30