Pirate Rick sailed his ship to a tropical island in search of a site to bury his treasure. After finding the perfect site, it took him 4 hours to dig up 8 feet of sand under which to bury the treasure. Once the treasure was buried, he left the island. Then, a tropical storm came and washed away half of the sand from on top of the treasure. Next, a giant tsunami wave poured over the island, adding 2 feet of new sand back onto the site of his treasure. When Pirate Rick returned, how long did it take for him to dig up his treasure?

Pirate Rick digs at a rate of 8 feet of sand per 4 hours, or 8/4=

<<8/4=2>>2 feet per hour. Of the 8 feet of sand that were initially on top of the treasure, the storm washed 8/2=<<8/2=4>>4 feet of sand away. Thus, after the storm and the tsunami, the treasure was buried beneath 8-4+2=<<8-4+2=6>>6 feet of sand. Digging at a rate of 2 feet per hour, Pirate Rick could uncover his treasure in 6/2=3 hours. #### 3 The big bottles of mango juice hold 30 ounces and cost 2700 pesetas each. The small bottles hold 6 ounces and cost 600 pesetas each. How many pesetas would be saved by buying a big bottle instead of smaller bottles for the same volume of juice? The equivalent is 30/6=<<30/6=5>>5 small bottles. Five small bottles at 600 pesetas each is 5*600=<<5*600=3000>>3000 pesetas. The savings is 3000-2700=<<3000-2700=300>>300. #### 300 John decides to start collecting art. He pays the same price for his first 3 pieces of art and the total price came to $45,000. The next piece of art was 50% more expensive than those. How much did all the art cost? The first 3 pieces each cost 45000/3=$<<45000/3=15000>>15,000 So the next piece was 15,000*.5=$<<15000*.5=7500>>7,500 more expensive That means it cost 15,000+7,500=$<<15000+7500=22500>>22,500 That means in total he spent 45,000+22,500=$67,500 #### 67,500 John buys a lightsaber toy. It is twice as expensive as all his other Star Wars toys combined. If his other Star Wars toys cost $1000, how much money has he spent in all after buying the lightsaber? The lightsaber cost 1000*2=$<<1000*2=2000>>2000 So he has spent 2000+1000=$<<2000+1000=3000>>3000 #### 3000 Lorin has 4 black marbles. Jimmy has 22 yellow marbles. Alex had twice as many black marbles as Lorin and one half as many yellow marbles as Jimmy. How many marbles does Alex have? Alex has 2*4=<<2*4=8>>8 black marbles Alex has 22/2=<<22/2=11>>11 yellow marbles Alex has 8+11=<<8+11=19>>19 marbles #### 19 Sophie does 4 loads of laundry a week and uses 1 dryer sheet per load. A box of dryer sheets costs $5.50 and has 104 dryer sheets in a box. On her birthday, she was given wool dryer balls to use instead of dryer sheets. How much money does she save in a year not buying dryer sheets? She does 4 loads of laundry a week and used 1 dryer sheet per load for a total of 4*1 = <<4*1=4>>4 dryer sheets in a week She used 4 dryer sheets per week for 52 weeks for a total of 4*52 = <<4*52=208>>208 dryer sheets Her box of dryer sheets has 104 sheets so she needs 208/104 = 2 boxes of dryer sheets Each box costs $5.50 and she used 2 boxes so she now saves 5.50*2 = $<<5.50*2=11.00>>11.00 by not buying dryer sheets #### 11 Damien jogs 5 miles per day on weekdays only. How many miles does he run over three weeks? Three weeks at 5 days per week means Damien runs 3*5=<<3*5=15>>15 times in three weeks. If each time he runs 5 miles, then over 15 running days he covers 5*15=<<5*15=75>>75 miles. #### 75 A road has four intersections. At the first intersection, there are 40 road signs showing different types of information mounted on the street poles. At the second intersection, 1/4 times more road signs than the first intersection are mounted on the street poles. The number of road signs at the third intersection is twice the number at the second intersection. If at the fourth intersection the number of road signs is 20 fewer than those at the third intersection, calculate the total number of road signs at the four intersections. There are 1/4*40 = <<1/4*40=10>>10 more road signs at the second intersection than the first intersection. This means there are 40+10 =<<40+10=50>>50 road signs at the second intersection. The total number of road signs at the first and second intersection is 50+40 = <<50+40=90>>90 The third intersection has twice the number of road signs at the second intersection, meaning there are 2*50 = <<2*50=100>>100 road signs. The total number of road signs at first to the third intersection is 90+100 = <<90+100=190>>190 road signs. At the fourth intersection, the number is 20 fewer than at the third intersection, meaning there are 100-20 = <<100-20=80>>80 road signs. All four road intersections have 190+80 = <<190+80=270>>270 road signs in total. #### 270 Joe saves $6,000 for his trip to Australia. If he spends $1,200 on the flight, $800 on a hotel, and $3,000 on food, how much money, in dollars, does he have left? Joe spends 1200+800+3000=<<1200+800+3000=5000>>5000 dollars. Joe has 6000-5000=<<6000-5000=1000>>1000 dollars left. #### 1000 Brooke is milking cows and then selling the milk at the market for $3 a gallon. Whatever milk doesn't sell, she turns into butter. One gallon of milk equals 2 sticks of butter. She then sells the butter for $1.5 a stick. She has 12 cows. Each cow produces 4 gallons of milk. She has 6 customers, each of whom wants 6 gallons of milk. How much money does she earn if she sells all her milk and butter? A gallon of milk makes $3 worth of butter because 2 x 1.5 = <<2*1.5=3>>3 A gallon of milk sells for the same amount as milk or butter because 3 = <<3=3>>3 She gets 48 gallons of milk because 4 x 12 = <<4*12=48>>48 She earns $144 selling the milk because 48 x $3 = <<48*3=144>>144 #### 144