Hadley wore his cowboy boots everywhere. He walked 2 miles to the grocery store in his boots. Then he walked 1 less than two miles to the pet store in his boots. Then, he walked one less than four miles back home in his boots. How far, in miles, did Hadley walk in his boots?

How many miles did Hadley walk to the pet store? ** After he walked 2 miles to the grocery store, he walked one less than two miles to the pet store, adding 2-1=1 mile to his journey.

How many miles did Hadley walk to return home? ** To complete his journey, he walked one less than four miles to return home, adding 4-1=3 miles. to his journey.

How far, in miles, did Hadley walk in his boots? ** In total, Hadley walked 2+1+3=

<<2+1+3=6>>6 miles. #### 6 A shopping center sells T-shirts at $8 each, a sweater at $18, and a jacket at $80. The jacket is on sale with a 10% discount. The sales tax is 5%. Kevin wants to buy six T-shirts, four sweaters, and five jackets for his children. How much does Kevin have to pay for all the items, including the sales tax? How much do the T-shirts cost? ** The six T-shirts cost 6 x $8 = $<<6*8=48>>48. How much do the sweaters cost? ** The four sweaters cost 4 x $18 = $<<4*18=72>>72. How much do the jackets cost? ** And five jackets normally cost 5 x $80 = $<<5*80=400>>400. How much is the discount? ** So, a discount of 10/100 x $400 = $<<10/100*400=40>>40 for the five jackets. What is the selling price of the five jackets? ** Thus, the selling price of the five jackets is $400 - $40 = $<<400-40=360>>360. What is the total cost of all the items? ** Hence, the total cost of all the items is $48 + $72 + $360 = $<<48+72+360=480>>480. What is the sales tax? ** The sales tax is equal to 5/100 x $480 = $<<5/100*480=24>>24. What is the total cost of all the items? ** Therefore, Kevin has to pay $480 + $24 = $<<480+24=504>>504. including the sales tax. #### 504 Jackson wants to impress his girlfriend by filling her hot tub with champagne. The hot tub holds 40 gallons of liquid. Each bottle of champagne holds 1 quart. (There are 4 quarts per gallon). If each bottle of champagne costs $50, but Jackson gets a 20% volume discount, how much does he spend on champagne? How many quarts does the hot tub hold? ** First find the number of quarts the hot tub holds by multiplying the number of gallons it holds by 4: 40 gallons * 4 quarts/gallon = <<40*4=160>>160 quarts How much does Jackson spend on champagne? ** Then multiply the number of quarts of champagne Jackson buy by the normal price per bottle to find the cost before the discount: 160 quarts * $50/quart = $<<160*50=8000>>8000 How much does Jackson get a discount? ** Then multiply that number by 20% to find the amount of the discount: $8000 * .2 = $<<8000*.2=1600>>1600 How much does Jackson spend on champagne? ** Finally, subtract the discount from the total cost to find the final amount Jackson pays: $8000 - $1600 = $<<8000-1600=6400>>6400 #### 6400 A lot of people have been sick at Gary's workplace, so he's been working a lot of extra shifts to fill in for people. As a result, he's earned some overtime (where every hour after 40 he earns 1.5 times his normal wage.) His paycheck (before taxes are taken out) came out to $696. If Gary normally earns $12 per hour, how many hours did he work that week? How much did Gary earn at his normal wage? ** Gary earned overtime, so he worked at least 40 hours. for which he was paid 40 hours * $12/hour = $<<40*12=480>>480 at his normal wage. How much did Gary earn at his overtime wage? ** This means that $696 - $480 = $<<696-480=216>>216 was earned at his overtime wage. How much does Gary earn at his overtime wage? ** His overtime wage is 1.5 his normal wage, or $12 * 1.5 = $<<12*1.5=18>>18 per hour. How many hours did Gary work in overtime? ** So Gary worked $216 / $18 per hour = <<216/18=12>>12 hours' worth of overtime. How many hours did Gary work that week? ** So in total, Gary worked 40 hours + 12 hours = <<40+12=52>>52 hours that week. #### 52 Earl started delivering newspapers on the first floor of a condominium building. He then went up 5 floors then went down 2 floors. He again went up 7 floors and found that he is 9 floors away from the top of the building. How many floors does the building have? How many floors did Earl go up? ** Earl was on the 1 + 5 = <<1+5=6>>6th floor after going up 5 floors. How many floors did Earl go down? ** When he went down 2 floors, he was on the 6 - 2 = <<6-2=4>>4th floor. How many floors did Earl go up? ** Since he went up 7 floors, he was then on the 4 + 7 = <<4+7=11>>11th floor. How many floors does the building have? ** Since he is 9 floors away from the top of the building, therefore the building has 11 + 9 = <<11+9=20>>20 floors. #### 20 It takes 7 years for an apple tree to bear fruit. If Lydia planted a tree when she was 4 years old and is now 9 years old, how old would she be when she gets to eat an apple from her tree for the first time? How many years has the tree been planted? ** The tree has been planted for 9 - 4 = <<9-4=5>>5 years How many years will it take for the tree to bear fruit? ** It will take another 7 - 5 = <<7-5=2>>2 years for it to bear fruit How old will Lydia be when she gets to eat an apple from her tree for the first time? ** Lydia will be 9 + 2 = <<9+2=11>>11 years old #### 11 James and Ali together own $250. If you know that James owns $40 more than Ali, then calculate the amount owned by James. Define a variable ** Let X be the amount owned by James. The amount owned by Ali is X - $40. Write an equation ** The total amount owned by both of them X + (X - $40) = $250. Simplify ** Combining like terms, we get X*2 - $40 = $250. Simplify ** Adding $40 to both sides, we get X*2 = $290. Simplify ** Dividing both sides by 2, we get X = $145. #### 145 A club with 30 members ordered fruit juices. Two-fifths of them ordered lemon juice. One-third of the remaining members ordered mango juice, and the rest ordered orange juice. How many members ordered orange juice? How many members ordered lemon juice? ** 30 x 2/5 = <<30*2/5=12>>12 members ordered lemon juice. How many members did not order lemon juice? ** So, 30 - 12 = <<30-12=18>>18 members did not order lemon juice. How many members ordered mango juice? ** Since 1/3 of the remaining ordered mango juice, then 18 x 2/3 = <<18*2/3=12>>12 members ordered mango juice. How many members ordered orange juice? ** Therefore, 18 - 12 = <<18-12=6>>6 members ordered orange juice. #### 6 Maggie picked 40 apples. Kelsey picked 28 apples. Layla picked some apples, too. The three averaged 30 apples picked. How many did Layla pick? How many apples did they pick together? ** Together, they picked 30*3=<<30*3=90>>90. How many apples are accounted for? ** There are 40+28=<<40+28=68>>68 accounted for. How many apples did Layla pick? ** Then Layla picked 90-68=<<90-68=22>>22. #### 22 Joey wants to buy the latest released pair of designer High Jump basketball sneakers. He plans to mow 3 neighbors’ lawns for $8 a lawn, sell 2 collectible figures to his friends for $9 each, and work an after-school job for 10 hours at $5 per hour. If his earnings just cover the price of the High Jump sneakers, how much do the shoes cost? How much will Joey earn mowing his neighbors’ lawns? ** Joey will earn 3 * $8 = $<<3*8=24>>24 mowing his neighbors’ lawns. How much will Joey earn selling his collectable figures? ** He will earn 2 * $9 = $<<2*9=18>>18 selling his collectable figures. How much will Joey earn at his after-school job? ** He will earn 10 * $5 = $<<10*5=50>>50 at his after-school job. How much do the sneakers cost? ** The sneakers cost $24 + $18 + $50 = $<<24+18+50=92>>92. #### 92