Hannah has three dogs. The first dog eats 1.5 cups of dog food a day. The second dog eats twice as much while the third dog eats 2.5 cups more than the second dog. How many cups of dog food should Hannah prepare in a day for her three dogs?

How many cups of dog food does the second dog eat? ** The second dog eats 1.5 x 2 =

<<1.5*2=3>>3 cups of dog food. How many cups of dog food does the third dog eat? ** The third dog eats 3 + 2.5 = <<3+2.5=5.5>>5.5 cups. How many cups of dog food should Hannah prepare in a day for her three dogs? ** So, Hannah should prepare 1.5 + 3 + 5.5 = <<1.5+3+5.5=10>>10 cups. #### 10 Patsy is gearing up for this weekend’s graduation. She needs to have 6 appetizers per each of her 30 guests. She’s making 3 dozen deviled eggs, 2 dozen pigs in a blanket and 2 dozen kebabs. How many more dozen appetizers does she need to make? How many appetizers does Patsy need? ** She needs 6 appetizers per each of her 30 guests so she needs 6*30 = <<6*30=180>>180 appetizers How many appetizers has Patsy made? ** She’s made 3 dozen deviled eggs, 2 dozen pigs in a blanket and 2 dozen kebabs so she’s made 3+2+2 = <<3+2+2=7>>7 dozen appetizers How many appetizers does Patsy have? ** 7 dozen appetizers is 7*12 = <<7*12=84>>84 appetizers How many more dozen appetizers does Patsy need to make? ** She needs 180 appetizers and has made 84 so she needs 180-84 = <<180-84=96>>96 appetizers How many more dozen appetizers does Patsy need to make? ** 96 appetizers, in dozens, is 96/12 = <<96/12=8>>8 dozen more appetizers #### 8 There is a very large room that has 4 tables, 1 sofa and 2 chairs that have 4 legs each. There are also 3 tables with 3 legs each, 1 table with 1 leg, and 1 rocking chair with 2 legs. How many legs are there in the room? How many pieces of furniture are there? ** There are 4 tables, 1 sofa and 2 chairs that have 4 legs each so 4+1+2 =<<4+1+2=7>>7 pieces of furniture How many legs do the 7 pieces of furniture have? ** These 7 pieces have 4 legs each so they have 7*4 = <<7*4=28>>28 legs How many legs do the 3 tables have? ** There are 3 tables with 3 legs each so they have 3*3 = <<3*3=9>>9 legs How many legs are there in the room? ** We have 28 legs and 9 legs as well a 1 leg on a table and 2 on a rocking chair for a total of 28+9+1+2 = <<28+9+1+2=40>>40 legs #### 40 Cappuccinos cost $2, iced teas cost $3, cafe lattes cost $1.5 and espressos cost $1 each. Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and two espressos. How much change does she receive back for a twenty-dollar bill? How much do the cappuccinos cost? ** Find the total cost of the cappuccinos by multiplying the price by the quantity: 3 cappuccinos x $2/cappuccino = $<<3*2=6>>6 How much do the iced teas cost? ** Then do the same for the iced teas: 2 iced teas x $3/tea = $<<2*3=6>>6 How much do the cafe lattes cost? ** Then do the same for the cafe lattes: 2 lattes x $1.5/latte = $<<2*1.5=3>>3 How much do the espressos cost? ** Then do the same for the espressos: 2 espressos x $1 = $<<2*1=2>>2 How much does Sandy pay? ** In total Sandy pays $6 + $6 + $3 + $2 = $<<6+6+3+2=17>>17 How much change does Sandy receive? ** Sandy will receive $20 - $17 = $<<20-17=3>>3 in change #### 3 Alex gets paid $500 a week and 10% of his weekly income is deducted as tax. He also pays his weekly water bill for $55 and gives away another 10% of his weekly income as a tithe. How much money does Alex have left? How much tax does Alex pay? ** His income tax is 10% of 500 which is 500*10% = $<<500*10*.01=50>>50. How much does Alex give away? ** His tithe costs 10% of $500 which is 500*10% = $<<500*10*.01=50>>50. How much does Alex spend? ** The total expenses are 50 + 55 + 50 = $155 How much money does Alex have left? ** He is then left with $500 - $ 155= $<<500-155=345>>345. #### 345 Ivan has a bird feeder in his yard that holds two cups of birdseed. Every week, he has to refill the emptied feeder. Each cup of birdseed can feed fourteen birds, but Ivan is constantly chasing away a hungry squirrel that steals half a cup of birdseed from the feeder every week. How many birds does Ivan’s bird feeder feed weekly? How many cups of birdseed do the birds eat? ** The squirrel steals 1/2 cup of birdseed every week, so the birds eat 2 - 1/2 = 1 1/2 cups of birdseed. How many birds does Ivan’s bird feeder feed weekly? ** Each cup feeds 14 birds, so Ivan’s bird feeder feeds 14 * 1 1/2 = 21 birds weekly. #### 21 An elementary school teacher is making Halloween goodie bags for her class. She wants the bags to be personalized, so she surveys her students asking whether they'd like a vampire-themed bag or a pumpkin-themed bag. Of her 25 students, 11 indicate they want the vampire-themed bag and 14 indicate they want the pumpkin-themed bag. The store the teacher shops at sells packs of 5 of each theme at a price of $3 per package, as well as individual bags of each theme at a price of $1 each. What is the least amount of money the teacher can spend on the bags if she buys every student the theme they requested? How much will the teacher spend on the vampire theme? ** Because it is cheaper to buy the packs of 5, the teacher should satisfy the 11 students who want the vampire theme with 2 packs of 5 and 1 individual bag. This will cost the teacher 2*3 + 1*1 = $<<2*3+1*1=7>>7. How much will the teacher spend on the pumpkin theme? ** Similarly, the 14 students who want a pumpkin-themed bag can be satisfied by 2 packs of 5 and 4 individual bags at a cost of 2*3 + 4*1 = $<<2*3+4*1=10>>10. How much will the teacher spend on the bags? ** Therefore, the teacher must spend 7 + 10 = $<<7+10=17>>17. #### 17 A zoo has 16 pandas, paired into mates (in the same zoo). Only 25% of the panda couples get pregnant after mating. If they each have one baby, how many panda babies are born? How many panda couples are there? ** First divide the number of pandas by 2 to find the number of couples: 16 pandas / 2 = <<16/2=8>>8 panda couples How many panda babies are born? ** Then multiply that number by 25% to find the number of babies: 8 panda couples * 25% = <<8*25*.01=2>>2 panda babies #### 2 A movie theater has 6 screens which show movies back-to-back all day. If the movie theater is open for 8 hours, and each movie lasts 2 hours, how many movies are shown in total throughout the day? How many movies does each screen show? ** Each screen shows movies all day, which means each screen shows 8 hours/day / 2 hours per movie = <<8/2=4>>4 movies/day. How many movies are shown in total throughout the day? ** So in total, the movie theater shows 6 screens * 4 movies/day = <<6*4=24>>24 movies. #### 24 A porcelain vase was originally priced at $200 but went on sale for 25% off. If Donna bought the porcelain vase and paid 10% sales tax, how much did she pay in total? How much did Donna get 25% off? ** Donna got $200 x 25/100 = $<<200*25/100=50>>50 less for the porcelain vase. How much did Donna pay for the porcelain vase? ** So, the porcelain vase is now $200 - $50 = $<<200-50=150>>150. How much did Donna pay in sales tax? ** Donna has to pay $150 x 10/100 = $<<150*10/100=15>>15 for the sales tax. How much did Donna pay in total? ** Therefore, she paid $150 + $15 = $<<150+15=165>>165 in total. #### 165