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?

Brenda is 22+15=

<<22+15=37>>37 points ahead after her 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 $100 discount. How much does he pay? The cost is 250*3=$<<250*3=750>>750 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? 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 Multiply the two probabilities to find the probability both things happen: 3/5 * 1/5 = 3/25 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? Patty: 12/3=<<12/3=4>>4 hours 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? First find how many years the base sentence will be: $40,000 / 1 year/$5,000 = <<40000/5000=8>>8 years Then find how long the increase for the third offense is: 8 years * 25% = <<8*25*.01=2>>2 years 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? Since one dollar is 100 cents, then 3 dollars is 3*100=<<3*100=300>>300 cents. The cost for one lollipop is 300/12=<<300/12=25>>25 cents. One-quarter of the lollipops is 12/4=<<12/4=3>>3 lollipops. 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? Each day they will make 80 × $5 = $<<80*5=400>>400. They will make $400 × 5 = $<<400*5=2000>>2000 in 5 days. #### 2000 Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours a week. If his second job pays $9 per hour then how much money, in dollars, did Mike receive from his first job? From his second job, Mike receives $9/hour * 12 hours = $<<9*12=108>>108. He therefore earned $160 – $108 = $<<52=52>>52 from his first job. #### 52 In a game, Samanta has 8 more points than Mark, and Mark has 50% more points than Eric. Eric has 6 points. How many points do Samanta, Mark, and Eric have in total? Mark has 50/100 * 6 = <<50/100*6=3>>3 points more than Eric. So Mark has 6 + 3 = <<6+3=9>>9 points. That means Samanta has 9 + 8 = <<9+8=17>>17 points. So in total Samanta, Mark, and Eric have 6 + 9 + 17 = <<6+9+17=32>>32 points. #### 32 The grocery store sells chips for $2 per packet and corn chips for $1.5 per packet. John would like to buy 15 packets of chips, and with the rest of the money he has left, buy as many packets of corn chips as he can. How many packets of corn chips could John buy if he has $45 for his entire purchase? John wants to buy 15 packets of chips, which will cost him 15 * 2 = $<<15*2=30>>30. So John would have 45 - 30 = $<<45-30=15>>15 left for the corn chips. John could buy for the rest of the money 15 / 1.5 = <<15/1.5=10>>10 packets of corn chips. #### 10