Roman the Tavernmaster has $20 worth of gold coins. He sells 3 gold coins to Dorothy. After she pays him, he has $12. How many gold coins does Roman have left?

How much did Dorothy pay for each gold coin? ** Dorothy paid $12 for 3 gold coins so each gold coin is worth $12/3 = $

<<12/3=4>>4 How many gold coins did Roman originally have? ** The Tavern master originally had $20 worth of gold coins which is $20/$4 = <<20/4=5>>5 gold coins How many gold coins does Roman have left? ** He gave 3 out of 5 gold coins to Dorothy so he now has 5-3 = <<5-3=2>>2 gold coins left #### 2 Anton has three times as many cards in his collection as Heike does. Ann has six times as many cards as Heike does. If Ann has 60 cards, how many more cards does Ann have more than Anton? How many cards does Heike have? ** If Ann has 60 cards, which is six times as many cards as Heike, Heike has 60/6= <<60/6=10>>10 cards. How many cards does Anton have? ** Anton has three times as many cards in his collection as Heike does, and since Heike has 10 cards, Anton has 10*3=<<3*10=30>>30 cards. How many more cards does Ann have than Anton? ** Ann has 60-30=<<60-30=30>>30 more cards than Anton. #### 30 Annie is a mother of 3 children: Mark, Matt, and Mike. She decided to give them some fruits. Mike received 3 oranges. Matt got twice as many apples, and Mark got as many bananas as Mike and Matt received fruits altogether. How many fruits do the three children have in total? How many oranges did Mike receive? ** Mike received 3 oranges. How many apples did Matt receive? ** Matt received twice as many apples as Mike received oranges, so he got 3 * 2 = <<3*2=6>>6 apples. How many bananas did Mark receive? ** Mark received 6 + 3 = <<6+3=9>>9 bananas. How many fruits do the three children have in total? ** So in total, all children received 3 + 6 + 9 = <<3+6+9=18>>18 fruits. #### 18 A doctor needs to give medicine to a child, and he knows that he cannot give the same amount of medicine that he would give to an adult. The instructions say that for every kilogram of weight the child must be given 5 ml of medicine. The doctor knows that the child weighs 30 kilograms and that also the full dose has to be given in 3 equal parts. How many milligrams will each part of the dose be? How many ml of medicine does the child need? ** The total number of ml needed is 30 kg x 5 ml/kg = <<30*5=150>>150 ml How many ml of medicine does each dose have to be? ** Each dose has to be 150 ml / 3 doses = <<150/3=50>>50 ml/dose #### 50 Barbara asked the butcher for 4 1/2 pound steaks that cost $15.00/pound. She also asked for a pound and half of chicken breasts that were $8.00 a pound. How much did she spend at the butchers? How many pounds of steak did Barbara order? ** She ordered 4 1/2 pound steaks so that's 4*.5 = <<4*.5=2>>2 pounds of steak. How much did the steaks cost? ** The steak cost $15.00 a pound and she bought 2 pounds so that's 15*2 = $<<15*2=30.00>>30.00 for 4 steaks. How much did the chicken breasts cost? ** She also needed 1.5 pounds of chicken breasts at $8.00 a pound so that's 1.5*8 = $<<1.5*8=12.00>>12.00 for chicken. How much did Barbara spend at the butchers? ** The steaks cost $30.00 and the chicken cost $12.00 for a total of 30+12 = $<<30+12=42.00>>42.00 spent at the butchers. #### 42 42 raspberries, blackberries, and blueberries were picked in total. If half of all the berries had been raspberries, and a third of the berries were blackberries, how many of them were blueberries? How many raspberries were picked? ** 42/2 = <<42/2=21>>21 raspberries had been picked. How many blackberries were picked? ** 42/3 = <<42/3=14>>14 blackberries had been picked. How many raspberries and blackberries were picked? ** 21+14 = <<21+14=35>>35 raspberries and blackberries had been picked. How many of the berries were blueberries? ** 42-35 = <<42-35=7>>7 blueberries had been picked. #### 7 Viggo's age was 10 years more than twice his younger brother's age when his brother was 2. If his younger brother is currently 10 years old, what's the sum of theirs ages? How old was Viggo's younger brother when he was 2? ** Twice Viggo's younger brother's age when his brother was 2 is 2*2 = <<2*2=4>>4 years. How old was Viggo when his brother was 2? ** If Viggo's age was 10 more than twice his younger brother's age when his brother was 2, Viggo was 10+4 = 14 years old. How old is Viggo compared to his brother? ** Viggo is 14 years - 2 years = <<14-2=12>>12 years older than his brother How old is Viggo's brother? ** Since Viggo's brother is currently 10 and Vigo is 12 years older, he's currently 10 + 12 = <<10+12=22>>22 years old What is the sum of theirs ages? ** Their combined age is 22 years + 10 years = <<22+10=32>>32 years #### 32 Jeff makes 10 donuts each day for 12 days. Jeff eats one of the donuts each day. Chris then comes over and eats 8 donuts. If 10 donuts fit in each box, how many boxes can Jeff fill with his donuts? How many donuts does Jeff make? ** Jeff makes a total of 10 * 12 = <<10*12=120>>120 donuts. How many donuts does Jeff eat? ** Jeff eats 1 * 12 = <<1*12=12>>12 donuts. How many donuts are left? ** After Chris is done eating, there are 120 - 12 - 8 = <<120-12-8=100>>100 donuts remaining. How many boxes does Jeff need? ** Jeff needs 100 / 10 = <<100/10=10>>10 boxes to store all of his donuts. #### 10 8 jumbo scallops weigh one pound and cost $24.00 a pound. Nate is pairing 2 scallops with a corn bisque as a light summer dinner. He’s cooking for 8 people. How much will the scallops cost? How many scallops does Nate need? ** He’s cooking for 8 people and wants to serve 2 scallops per person so he needs 8*2 = <<8*2=16>>16 scallops How many pounds of scallops does Nate need? ** 8 jumbo scallops come in 1 pound and he needs 16 scallops so he will need 16/8 = <<16/8=2>>2 pounds of scallops How much will the scallops cost? ** A pound of scallops weigh $24.00 and he needs 2 pounds so it will cost him 24*2 = $<<24*2=48.00>>48.00 for scallops #### 48 Ben starts each day with $50, spends $15 every day and saves the rest. After a few days, his mom doubled his total savings and his dad gave him an additional $10. If he now has $500, How many days have elapsed? Define a variable ** Let the number of days be x How much does Ben save each day? ** He saves $50-$15=$<<50-15=35>>35 each day How much did Ben save after x days? ** After x days he had saved $35*x=$35x How much did Ben's mom give him? ** His mom doubled his savings to give $35x*2=$70x How much did Ben's dad give him? ** His dad added $10 to give $70x+$10=$500 How much did Ben's dad give him? ** Subtracting 10 from both sides of the equation formed gives $70x=490 How many days have elapsed? ** Dividing both sides by $70 give x=7 days #### 7