Betsy won 5 games of Monopoly. Helen won twice as many as Betsy and Susan won three times as many as Betsy. Between them, how many games have they won?

How many games did Helen win? ** Helen won twice as many games as Betsy's 5 so Helen won 2*5 =

<<10=10>>10 games How many games did Susan win? ** Susan won three times as many games as Betsy's 5 so Susan won 3*5 = <<3*5=15>>15 games How many games did Betsy, Helen and Susan win? ** When you combine their wins, together they won 5+10+15 = <<5+10+15=30>>30 games total #### 30 A psychiatrist has 4 patients that need 25 sessions in total. One of the patients needs 6 sessions. Another patient needs 5 more than that. How many sessions would the remaining patients need? How many sessions does the second patient need? ** The second patient needs 6+5 = <<6+5=11>>11 sessions. How many sessions do the first two patients need together? ** The first two patients need 6+11=<<6+11=17>>17 sessions total. How many sessions would the remaining patients need? ** 25-17=<<25-17=8>>8 sessions. #### 8 A crayon box has 24 crayons total. 8 crayons are red, 6 crayons are blue, there are 2/3 the number of green crayons as blue crayons, and the rest of the crayons are pink. How many crayons are pink? How many green crayons are there? ** There are 2/3 green crayons * 6 blue crayons = <<2/3*6=4>>4 green crayons. How many pink crayons are left? ** The pink crayons left in the box are 24 crayons total - 8 red - 6 blue - 4 green = <<24-8-6-4=6>>6 pink crayons. #### 6 David and Brenda are playing Scrabble. Brenda is ahead by 22 points when she makes a 15-point play. David responds with a 32-point play. By how many points is Brenda now ahead? How many points is Brenda ahead by after her play? ** Brenda is 22+15=<<22+15=37>>37 points ahead after her play. How many points is Brenda ahead by after David's play? ** Then she is 37-32=<<37-32=5>>5 points ahead. #### 5 John books 3 nights at a hotel room for $250 a night. He has a $100 discount. How much does he pay? How much does he pay? ** The cost is 250*3=$<<250*3=750>>750 How much does he spend? ** So he spends 750-100=$<<750-100=650>>650 #### 650 Karen packs peanut butter sandwiches in her daughter's lunch 2 randomly chosen days of the week. The other 3 school days, she packs a ham sandwich. She packs a piece of cake on one randomly chosen day and cookies the other four days. What is the probability, expressed as a percentage, that Karen packs a ham sandwich and cake on the same day? How many days does Karen pack a ham sandwich? ** There are 5 school days in a week, so the probability Karen packs a ham sandwich is 3/5 and the probability she packs cake is 1/5 How many days does Karen pack a ham sandwich and cake on the same day? ** Multiply the two probabilities to find the probability both things happen: 3/5 * 1/5 = 3/25 How many days does Karen pack a ham sandwich and cake on the same day? ** Now divide 3 by 25 and multiply by 100% to express this probability as a percentage: 3/25 * 100% = 12% #### 12 Matt can paint a house in 12 hours. Patty can paint the same house in one third the time. Rachel can paint the same house in 5 more than double the amount of hours as Patty. How long will it take Rachel to paint the house? How many hours does it take Patty to paint the house? ** Patty: 12/3=<<12/3=4>>4 hours How many hours does it take Rachel to paint the house? ** Rachel: 5+2(4)=13 hours #### 13 Nissa is calculating a jail sentence for a man who was convicted of burglary. The base sentence is 1 year of jail for every $5,000 of goods stolen. The burglar is going to have his sentence length increased by 25% because this is his third offense, plus 2 additional years for resisting arrest. How many years total is the burglar's sentence if he stole $40,000 worth of goods? How many years is the base sentence? ** First find how many years the base sentence will be: $40,000 / 1 year/$5,000 = <<40000/5000=8>>8 years How many years is the increase for the third offense? ** Then find how long the increase for the third offense is: 8 years * 25% = <<8*25*.01=2>>2 years How many years total is the burglar's sentence if he stole $40,000 worth of goods? ** Then add the third-offense increase and the sentence for resisting arrest to the base sentence: 8 years + 2 years + 2 years = <<8+2+2=12>>12 years #### 12 Sarah bought 12 lollipops filled with caramel for a total of 3 dollars. She offered to share one-quarter of the lollipops with her friend, Julie, but Julie insisted on reimbursing Sarah for the cost of the lollipops shared. How much money, in cents, did Julie give Sarah to pay for the shared lollipops? How much money did Sarah spend? ** Since one dollar is 100 cents, then 3 dollars is 3*100=<<3*100=300>>300 cents. How much does one lollipop cost? ** The cost for one lollipop is 300/12=<<300/12=25>>25 cents. How many lollipops did Sarah share? ** One-quarter of the lollipops is 12/4=<<12/4=3>>3 lollipops. How much did the lollipops shared cost? ** At 25 cents per lollypop, 3 lolly’s cost 3*25=<<3*25=75>>75 cents. #### 75 Super Clean Car Wash Company cleans 80 cars per day. They make $5 per car washed. How much money will they make in 5 days? How much money will they make in each day? ** Each day they will make 80 × $5 = $<<80*5=400>>400. How much money will they make in 5 days? ** They will make $400 × 5 = $<<400*5=2000>>2000 in 5 days. #### 2000