Tirzah has a lot of purses and handbags; in total she has 26 purses and 24 handbags. Half the purses and 1/4 the handbags are fake. If the rest are authentic, how many purses and handbags in total are genuine?

26/2=

<<26/2=13>>13 of the purses are genuine. 24/4=<<24/4=6>>6 of the handbags are fake. 24-6=<<24-6=18>>18 of the handbags are genuine. There are 13+18=<<13+18=31>>31 genuine purses and handbags #### 31 The leak in Jerry's roof drips 3 drops a minute into the pot he put under it. Each drop is 20 ml, and the pot holds 3 liters. How long will it take the pot to be full? First find the pot's volume in ml: 3 liters * 1000 ml/liter = <<3*1000=3000>>3000 ml Then find the number of ml that enter the pot per minute: 3 drops/minute * 20 ml/drop = <<3*20=60>>60 ml/minute Then divide the volume of the pot by the volume that enters it every minute: 3000 ml / 60 ml/minute = <<3000/60=50>>50 minutes #### 50 Gail has some bills in her wallet which amount to $100. She has four $5 bills and three $20 bills, and the rest are $10 bills. How many $10 bills are in her wallet? Four $5 bills amount to $5 x 4 = $<<5*4=20>>20. Three $20 bills amount to $20 x 3 = $<<20*3=60>>60. So Gail's $5 and $20 bills amount to $20 + $60 = $80. Thus, her $10 bills amount to $100 - $80 = $20. Therefore, she has $20/$10 = <<20/10=2>>2 $10 bills. #### 2 At a party, there are 50 people. 30% of them are boys. How many girls are at this party? There are 50 * 30/100 = <<50*30/100=15>>15 boys at that party. That means there are 50 - 15 = <<50-15=35>>35 girls. #### 35 Amelia has laundry to do. She has a load of whites that will take 72 minutes in the washing machine and 50 minutes in the dryer. She has a load of darks that will take 58 minutes in the washing machine and 65 minutes in the dryer. She has a load of colors that will take 45 minutes in the washer and 54 minutes in the dryer. If she does one load at a time, how long will it take her to wash and dry all three loads, in minutes? It will take her 72 minutes in the washer + 50 minutes in the dryer = <<72+50=122>>122 minutes for the whites. It will take her 58 minutes in the washer + 65 minutes in the dryer = <<58+65=123>>123 minutes for the darks. It will take her 45 minutes in the washer + 54 minutes in the dryer = <<45+54=99>>99 minutes for the colors. Altogether, it will take 122 minutes for whites + 123 minutes for darks + 99 minutes for colors = <<122+123+99=344>>344 minutes to do the laundry. #### 344 85 paper stars are required to fill a glass jar. Luke has already made 33 stars, but he needs to fill 4 bottles. How many more stars must Luke make? Luke must make 85 x 4 = <<85*4=340>>340 stars in total. He needs to make another 340 - 33 = <<340-33=307>>307 stars. #### 307 Blake gave some of his money to his friend, Connie. Connie used all the money she had been given to buy some land. In one year, the land tripled in value. So, she sold the land and gave half of all the money she got from the sale of the land to Blake. If Connie gave Blake $30,000, how much money, in dollars, did Blake initially give to Connie? If half the value of what Connie sold the land for was $30,000, then the full value was $30,000*2 = $<<30000*2=60000>>60,000. If $60,000 is triple what Connie bought the land for, then the initial cost, which is the amount given to her by Blake, was $60,000/3 = $<<60000/3=20000>>20,000. #### 20,000 Mason has 3 cartons of 200 blueberries. He makes as many muffins as he can with 10 blueberries per muffin. Then he makes 60 cinnamon muffins. What percentage of all the muffins he made have blueberries? First find the total number of blueberries Mason has: 200 blueberries/carton * 3 cartons = 600 blueberries Then divide the total number of blueberries by the number of blueberries per muffin: 600 blueberries / 10 blueberries/muffin = <<600/10=60>>60 muffins Then add that number of muffins to the number of cinnamon muffins to find the total number of muffins: 60 muffins + 60 muffins = <<60+60=120>>120 muffins Then divide the number of blueberry muffins by the total number of muffins and multiply by 100% to express the answer as a percentage: 60 muffins / 120 muffins * 100% = 50% #### 50 Noa scored 30 points to win a bowl, and Phillip scores twice that number. What is the total number of points Tom and Phillip scored to win the bowl? If Philip scored twice the number of points Noa scored to win the bowl, he scored 2*30 = <<2*30=60>>60 points. To win the bowl, they scored together a total of 60+30 = <<60+30=90>>90 points. #### 90 Johnny is a guitar player and he has three colors of guitar picks: red, blue, and yellow. Half of his picks are red, one-third of the picks are blue, and the rest are yellow. If he has 12 blue picks, what is the total number of yellow picks in his collection? If one third (1/3) of his picks are blue, then 3 times the total number of blue picks equals his total pick count, or 3*12=36 picks If half of the picks are red, then he has 36/2=<<36/2=18>>18 red picks If the rest of the picks are yellow, then he has 36-18-12=<<36-18-12=6>>6 yellow picks #### 6