Tony has a terrible toothache and decides to buy some painkillers from the store. He picks up a bottle of 50 pills and takes them home. He takes 2 pills each day three times a day for the first 2 days, before cutting this amount in half for the next 3 days. On the sixth day, he takes a final 2 pills in the morning and ends up feeling better. How many pills are left in the bottle?

How many pills does Tony take in total? ** Tony starts with 50 pills and takes 2 pills each 3 times a day, meaning he takes 2*3=6 pills in total.

How many pills does Tony take in total over those two days? ** Tony repeats this process for two days in total, meaning over those two days he takes 2*6=

<<2*6=12>>12 pills How many pills does Tony take in total? ** Tony then cuts down his pill usage in half, meaning he's now taking 6/2= <<6/2=3>>3 pills a day. How many pills does Tony take in total over those three days? ** Since he repeats this process for three days, that means he takes 3*3= <<3*3=9>>9 pills for that period. How many pills did Tony take in total? ** Adding in the two pills Tony took on the final day, that means he took 12+9+2=<<12+9+2=23>>23 pills. How many pills are left in the bottle? ** Since there were 50 pills in the bottle to begin with, this means Tony has 50-23=<<50-23=27>>27 pills remaining. #### 27 An 18-month magazine subscription is normally $34. The magazine is currently running a promotion for $0.25 off each twice-a-month issue when signing up for the 18-month subscription. How many dollars cheaper is the promotional subscription than the normal one? How many issues are sent in the 18-month subscription? ** The subscription sends twice monthly issues, so there are 2 * 18 = <<2*18=36>>36 issues. How many dollars cheaper is the promotional subscription than the normal one? ** Thus, the promotional offer is 36 * 0.25 = $<<36*0.25=9>>9 cheaper than the normal subscription. #### 9 Caleb picked a handful of dandelion puffs. He gave 3 to his mom, another 3 to his sister, 5 to his grandmother, and 2 to his dog. Then, he divided the remaining dandelion puffs equally among his 3 friends. How many dandelion puffs did each friend receive if he originally picked 40 dandelion puffs? How many dandelion puffs did Caleb have left? ** Caleb was left with 40 - 3 - 3 - 5 - 2 = <<40-3-3-5-2=27>>27 dandelion puffs to give to his friends. How many dandelion puffs did each friend receive? ** They each received 27/3 = <<27/3=9>>9 dandelion puffs #### 9 Tom uses 10 weight plates each weighing 30 pounds on an exercise machine. This exercise machine uses special technology to make the weights 20% heavier on the lowering portion. How heavy did the weights feel when being lowered? How much did the weight stack weigh? ** The weight stack weighed 10*30=<<10*30=300>>300 pounds How much did the weights feel when being lowered? ** So the added weight made it 300*.2=<<300*.2=60>>60 pounds heavier How heavy did the weights feel when being lowered? ** So when he lowered the weight it was 300+60=<<300+60=360>>360 pounds #### 360 One pie costs $4 for a piece. Each pie is having 3 pieces. During one hour the bakery can make 12 pies. Creating one pie costs the bakery $0.5. Considering the bakery would be able to sell all pie pieces, how much money would it make? How many pie pieces are there? ** If the bakery can make 12 pies, this means there would be 12 * 3 = <<12*3=36>>36 pie pieces. How much money would the bakery make? ** For all the pieces the bakery would make 36 * 4 = $<<36*4=144>>144. How much does it cost to make 12 pies? ** The cost of making 12 pies is 12 * 0.5 = $<<12*0.5=6>>6. How much money would the bakery make? ** That means the bakery would make 144 - 6 = $<<144-6=138>>138. #### 138 Angie bought 3 lbs. of coffee at the store today. Each lb. of coffee will brew about 40 cups of coffee. Angie drinks 3 cups of coffee every day. How many days will this coffee last her? How many cups of coffee does 3 lbs. of coffee make? ** A pound of coffee makes 40 cups of coffee, so 3 lbs. coffee * 40 cups of coffee per lb. = <<3*40=120>>120 cups of coffee. How many days will this coffee last her? ** Angie drinks 3 cups of coffee a day, so she has enough coffee to last her 120 cups of coffee / 3 cups of coffee per day = <<120/3=40>>40 days #### 40 A rectangular plot of private property is fenced in by a chain-link fence. The long sides of the plot are three times the length of the short sides. One short side of the fence is rusted from being hit by a sprinkler and needs to be replaced. If all the sides of the fence together are 640 feet long, how many feet of fence need to be replaced? Define a variable ** Let S be the length of the short side of the fence. How long is a long side of the fence? ** Thus, the length of a long side of the fence is 3S. How long is the fence? ** There are 2 of each side, so the whole fence is 2S + 2 * 3S = 2S + 6S = 8S long. How long is the fence? ** The whole fence is 8S = 640 feet long. How long is the short side of the fence that needs to be replaced? ** Thus, the short side of the fence that needs to be replaced is S = 640 / 8 = <<640/8=80>>80 feet long. #### 80 Nate got lost looking for his car in the airport parking lot. He had to walk through every row in Section G and Section H to find it. Section G has 15 rows that each hold 10 cars. Section H has 20 rows that each hold 9 cars. If Nate can walk past 11 cars per minute, how many minutes did he spend searching the parking lot? How many cars are in Section G? ** First find the number of cars in Section G by multiplying the number of rows by the number of cars per row: 15 rows * 10 cars/row = <<15*10=150>>150 cars How many cars are in Section H? ** Then do the same thing for Section H: 20 rows * 9 cars/row = <<20*9=180>>180 cars How many cars did Nate walk past? ** Then add the two quantities of cars to find the total number of cars Nate walked past: 150 cars + 180 cars = <<150+180=330>>330 cars How many minutes did Nate spend searching the parking lot? ** Finally, divide the number of cars Nate passed by the numbers he passes each minute to find how long he spent searching: 330 cars / 11 cars/minute = <<330/11=30>>30 minutes #### 30 Bush and Matt are brothers. Bush is younger than Matt by 3 years. This year Bush will be 12 years old. What will be Matt's age 10 years from now? How old is Matt? ** Bush is younger than Matt by 3 years, so if Bush is 12 years old then Matt is 12+3 = <<12+3=15>>15 years old How old will Matt be in 10 years? ** In 10 years' time, Matt will be 10+15 = <<10+15=25>>25 years old #### 25 On a road map, 1/4 inch represents 8 miles of actual road distance. The towns of Pence and Hillcrest are represented by points 3 3/8 inches apart on the map. What is the actual distance, in miles, between the towns? How many miles does 1 inch represent? ** If 1/4 inch on the map represents 8 miles on real land, 1 inch represents 4 * 8 = 32 miles. How many miles does 3 inches represent? ** Since 1 inch represents 32 miles, 3 inches represent 3 * 32 = <<3*32=96>>96 miles. How many miles does 1/8 inch represent? ** 1/ 4 inch represents 8 miles, 1/8 inch represents 8 / 2 = <<8/2=4>>4 miles because 1/8 is half of 1/4. How many miles does 3/8 of an inch represent? ** If 1/8 inch represents 4 miles, 3/8 of an inch represents 3 * 4 = 12 miles. How many miles does 3 3/8 inches represent? ** This means 3 3/8 inches on the map translate to 96 + 12 = 108 miles. #### 108