John needs to get a new seeing-eye dog. The adoption fee cost $150 for an untrained dog. It then takes 12 weeks of training which costs $250 a week. After the training, she needs certification which costs $3000 but her insurance covers 90% of that. What is her out-of-pocket cost?
How much does the training cost? ** The training cost 250*12=$
<<250*12=3000>>3000 How much does the certification cost? ** The insurance pays for 3000*.9=$<<3000*.9=2700>>2700 for certification How much does she need to pay? ** That means she needs to pay 3000-2700=$<<3000-2700=300>>300 How much did John's adoption cost? ** So her total cost was 150+300+3000=$<<150+300+3000=3450>>3450 #### 3450 I bought a pair of shoes for $51. The shoes were already marked 75% off. What is the original price of the shoes? Define a variable ** Let X be the original price of the shoes. How much did the shoes cost after 75% off? ** The discounted price is X - X*75% = 0.25 * X = $51. How much did the shoes cost originally? ** The original price of the shirt was X = $51 * 4 = $<<51*4=204>>204. #### 204 Archie received his medical receipt from his doctor, and he needs to take antibiotics three times a day. If antibiotic costs $3 each and he needs to take it for a week, how much money does he need to buy the antibiotics? How much money does Archie need to buy 3 antibiotics? ** Archie needs $3 x 3 = $<<3*3=9>>9 per day to buy 3 antibiotics. How much money does Archie need to buy antibiotics? ** Therefore Archie needs $9 x 7 = $<<9*7=63>>63 to buy antibiotics that will last for a week. #### 63 James paints a 20 ft by 15 ft mural. It takes him 20 minutes to paint 1 square foot and he charges $150 per hour. How much does he charge to paint the mural? How many square feet is the mural? ** The mural is 20*15=<<20*15=300>>300 square feet How many minutes does it take him to paint the mural? ** So it takes him 300*20=<<300*20=6000>>6000 minutes How many hours does it take him to paint the mural? ** So he paints it in 6000/60=<<6000/60=100>>100 hours How much does he charge to paint the mural? ** That means he charges 100*150=$<<100*150=15000>>15000 #### 15000 Henri has 8 hours to watch movies and read. He watches one movie that is 3.5 hours and one movie that is 1.5 hours. He then decides to read. If he can read 10 words a minute, how many words does he read before his free time is up? How many hours does Henri have to read? ** He has 3 hours to read because 8 - 3.5 - 1.5 = <<8-3.5-1.5=3>>3 How many minutes does Henri have to read? ** He has 180 minutes to read because 3 x 60 = <<3*60=180>>180 How many words does Henri read? ** He can read 1,800 words because 180 x 10 = <<180*10=1800>>1,800 #### 1800 A volcano erupts and spews ash into the sky. The ash cloud spreads out in a diameter eighteen times as far as the distance it shot up into the sky. If the ashes erupted three hundred feet into the sky, what was the radius of the ash cloud in feet? How far did the ash cloud spread out? ** The ash cloud spread out 300 * 18 = <<300*18=5400>>5400 feet in diameter. What was the radius of the ash cloud? ** The radius is half the diameter, so the ash cloud had a radius of 5400 / 2 = <<5400/2=2700>>2700 feet. #### 2700 Milo is making a giant loaf of bread, and the recipe calls for pounds of eggs instead of telling him the number. He needs 6 pounds in total. He looks up online that an egg weighs 1/16 of a pound. If he needs 6 pounds of eggs, how many dozen should he buy? How many eggs are in a pound? ** If one egg weighs 1/16 of a pound then 1 pound will be made up of 1/(1/16) = 16 eggs How many eggs are in 6 pounds? ** One pound of eggs is 16 eggs so 6 pounds is 6*16 = <<6*16=96>>96 eggs How many dozen should Milo buy? ** One dozen is 12 eggs so 96 eggs will make 96/12 = <<96/12=8>>8 dozens #### 8 Susan has 3 fish tanks to fill. 1 fish tank contains 7 goldfish and 8 beta fish. The second fish tank contains twice as many fish as the first tank and the third fish tank has a third of the number of fish in the second fish tank. How many fish are in the third fish tank? How many fish are in the first fish tank? ** In the first fish tank, there are 7 goldfish + 8 beta fish = <<7+8=15>>15 fish. How many fish are in the second fish tank? ** The second fish tank therefore has 15 fish in the first tank * 2 = <<15*2=30>>30 fish. How many fish are in the third fish tank? ** So the third tank has 30 fish in the second fish tank / 3 = <<30/3=10>>10 fish. #### 10 A loaf of bread was sliced into 15. Ten friends bought 4 loaves of bread. If they all eat all 4 loaves equally, how many slices of bread did each of them eat? How many slices of bread are in 4 loaves of bread? ** There are 15 x 4 = <<15*4=60>>60 slices of bread in 4 loaves of bread. How many slices of bread did each of them eat? ** Hence, each of them ate 60/10 = <<60/10=6>>6 slices of bread. #### 6 Latia wants to buy a Samsung TV worth $1700. She works for a delivery service company for a month earning $10 per hour for a 30-hour workweek. How many more hours does she have to work to buy the TV? How much does Latia earn in a week? ** In a week, Latia earns 30*10 = $<<30*10=300>>300. How much does Latia earn in a month? ** In a month, she earns 300*4 = $<<300*4=1200>>1200. How much does Latia have to work for to buy the TV? ** If the TV was worth $1700, the total amount she has to work for to buy the TV is 1700-1200 = $<<1700-1200=500>>500. How many more hours does Latia have to work to buy the TV? ** Since she earns $10 per hour, she'll have to work for $500/$10 = <<500/10=50>>50 more hours to buy the TV. #### 50