Baking in batches of 65 cupcakes, Carla made 45 batches of cupcakes for her daughter's birthday party. She then took 5 cupcakes from each batch, and fed them to her dogs. If Carla's daughter had 19 friends and they shared the remaining cupcakes equally among them, including the daughter, calculate the number of cupcakes that each of Carla's daughter's friends ate.

If Carla sampled 5 cupcakes from each batch and fed them to her dogs, each batch had 65-5 = 60 cupcakes afterwards.

Since Carla made 45 batches of cupcakes for her daughter's birthday party, after removing the 5 cupcakes from each batch, Carla's daughter and her friends received 45*60 =

<<45*60=2700>>2700 cupcakes. The total number of people at the party is 19 friends + 1 daughter = <<19+1=20>>20 After sharing the cupcakes equally among them, Carla's daughter and her friends each received 2700/20 = <<2700/20=135>>135 cupcakes #### 135 Randy drew 5 pictures. Peter drew 3 more pictures than Randy. Quincy drew 20 more pictures than Peter. How many pictures did they draw altogether? Peter drew 5+3 = <<5+3=8>>8 pictures. Quincy drew 20+8 = <<20+8=28>>28 pictures. Altogether they drew 5+8+28 = <<5+8+28=41>>41 pictures #### 41 Sally teaches elementary school and is given $320 to spend on books for her students. A reading book costs $12 and there are 30 students in her class. Unfortunately, if the money she is given by the school to pay for books is not sufficient, she will need to pay the rest out of pocket. How much money does Sally need to pay out of pocket, to buy every student a reading book? To purchase a book for each student, Sally needs: 30 x $12 = $<<30*12=360>>360. She thus needs to pay $360 - $320 = $<<360-320=40>>40 out of pocket. #### 40 Harry is 50 years old. His father is currently 24 years older than he is. How old was his mother when she gave birth to him if she is younger than his father by 1/25 of Harry's current age? Harry's father is 50 years + 24 years = <<50+24=74>>74 years old. Harry's mother is 1/25 * 50 years = <<1/25*50=2>>2 years younger than his father. So she is currently 74 years - 2 years = <<74-2=72>>72 years old. So when Harry was born, she was 72 years - 50 years = <<72-50=22>>22 years old. #### 22 Mark does a gig every other day for 2 weeks. For each gig, he plays 3 songs. 2 of the songs are 5 minutes long and the last song is twice that long. How many minutes did he play? He played 7*2 = <<7*2=14>>14 gigs The long song was 5*2=<<5*2=10>>10 minutes So all the gigs were 5+5+10=<<5+5+10=20>>20 minutes So he played 14*20=140 minutes #### 280 There were 50 people on the city bus. At the first stop, 15 people got off. At the next stop 8 people got off and 2 got on. At the third stop, 4 people got off and 3 people got on. How many people are on the bus after the third stop? The bus started with 50 people – 15 who got off at the first stop = <<50-15=35>>35 people on the bus. At the second stop, 35 people on the bus – 8 who got off = <<35-8=27>>27 people. Then there were 27 people + 2 who got on = <<27+2=29>>29 people on the bus. At the third stop, 29 people on the bus – 4 who got off = <<29-4=25>>25 people on the bus. Then there were 25 people on the bus + 3 who got on = <<25+3=28>>28 people on the bus. #### 28 In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students? The students are divided into 3 + 2 = <<3+2=5>>5 parts where 3 parts are for males and 2 parts are for females. Each part represents 1000/5 = <<1000/5=200>>200 students. So, there are 3 x 200 = <<3*200=600>>600 males. And there are 2 x 200 = <<2*200=400>>400 females. Hence, 600 x 2/3 = 400 males play basketball. And 400 x 1/5 = <<400*1/5=80>>80 females play basketball. A total of 400 + 80 = <<400+80=480>>480 students play basketball. Therefore, 1000 - 480 = <<1000-480=520>>520 do not like to play basketball. The percentage of the school that do not like to play basketball is 520/1000 * 100 = <<520/1000*100=52>>52 #### 52 There are 15 cats in a shelter. One-third were adopted, and were replaced with twice the amount that were adopted. Later on, twice as many dogs showed up as there are cats. How many total animals are there in the shelter? 15/3=<<15/3=5>>5 cats were adopted out of 15 There were 15-5 = <<15-5=10>>10 cats left 5*2=<<5*2=10>>10 more cats were added. This makes 10+10=<<10+10=20>>20 cats in the shelter. 20*2=<<20*2=40>>40 dogs came into the shelter. There are now 20+40=<<20+40=60>>60 animals in the shelter. #### 60 A department store displays a 20% discount on all fixtures. What will be the new price of a 25 cm high bedside lamp that was worth $120? The amount of the discount is $120 x 0.2 = $<<120*0.2=24>>24. The new price will be $120 – $24 = $<<120-24=96>>96. #### 96 Mr. Rainwater has some goats, 9 cows and some chickens. He has 4 times as many goats as cows and 2 times as many goats as chickens. How many chickens does he have? Let X be the number of chickens Mr. Rainwater has. He has 4 goats/cow * 9 cows = <<4*9=36>>36 goats on his farm. So he has 36 goats / 2 goats/chicken = <<36/2=18>>18 chickens. #### 18