The music festival of Bassompierre begins tonight with a concert by the string orchestra "PIANISSIMO". The ticket price for adults is $26; for children, the price is half. The show starts at 9 pm and goes very well. At about 11:00 pm, the concert organizer made his accounts. There were 183 adults and 28 children who attended the show. What was the total revenue of the concert?

The total revenue from the adults is 183 x $26 = $

<<183*26=4758>>4758. The ticket price for children is $26/2 = $<<26/2=13>>13. The total revenue from the children is 28 x $13 = $<<28*13=364>>364. The total revenue of the concert is $4758 + $364 = $<<4758+364=5122>>5122 #### 5122 Mrs. Fredrickson has 80 chickens where 1/4 are roosters and the rest are hens. Only three-fourths of those hens lay eggs. How many chickens does Mr. Fredrickson have that do not lay eggs? Mrs. Fredrickson has 80 x 1/4 = <<80*1/4=20>>20 roosters. So he has 80 - 20 = <<80-20=60>>60 hens. Only 60 x 3/4 = <<60*3/4=45>>45 of the hens lay eggs. Thus, 60 - 45 = <<60-45=15>>15 hens do not lay eggs. Therefore, Mr. Fredrickson has a total of 15 hens + 20 roosters = <<15+20=35>>35 chickens that do not lay eggs. #### 35 Jill is the hairdresser for the school's dance team and has to braid 8 dancers' hair. If each dancer has five braids and each braid takes 30 seconds, how many minutes will it take to braid all the dancers' hair? First find the total number of braids among all the dancers: 8 dancers * 5 braids/dancer = <<8*5=40>>40 braids Then multiply by that the time in seconds per braid to find the total time in seconds: 40 braids * 30 seconds/braid = <<40*30=1200>>1200 seconds Then divide the time in seconds by the number of seconds per minute to find the time in minutes: 1200 seconds / 60 seconds/minute = <<1200/60=20>>20 minutes #### 20 Erik's dog can run 24 miles per hour. It is chasing a rabbit that can run 15 miles per hour. The rabbit has a head start of .6 miles. How many minutes does it take for the dog to catch up to the rabbit? The dog runs .4 miles per minute because 24 / 60 = <<24/60=.4>>.4 The rabbit runs .25 miles per minute because 15 / 60 = <<15/60=.25>>.25 We know that .4(Number of Minutes) = .25(Number of Minutes) + .6 Therefore .15(Number of Minutes) = .6 Therefore (Number of Minutes) = 4 #### 4 Fran baked 50 red macaroons and 40 green macarons. How many macaroons will remain if Fran ate 15 green macaroons and twice as many red macaroons as green macaroons? After eating 15 green macaroons, the number is reduced to 40 green macaroons - 15 green macaroons = 25 green macaroons If Fran ate 15 green macaroons, he also ate 2 red/green * 15 green macaroons = <<15*2=30>>30 red macaroons. The total number of red macaroons remaining is 50 red macaroons - 30 red macaroons = <<50-30=20>>20 red macaroons The total number of macaroons Fran has left are 20 macaroons + 25 macaroons = <<20+25=45>>45 macaroons #### 45 Tony drinks 72 ounces of water per day. He decides that to stop wasting plastic, he will buy a reusable metal bottle. If he buys an 84-ounce water bottle, how many times will he fill it each week? He drinks 504 ounces of water per week because 72 x 7 = <<72*7=504>>504 He will need to fill it 6 times because 504 / 84 = <<504/84=6>>6 #### 6 MegaCorp got caught leaking carcinogens into the water supply and is being fined 1% of its annual profits. Every day MegaCorp earns $3,000,000 from mining and $5,000,000 from oil refining. Its monthly expenses are $30,000,000. How much is MegaCorp's fine in dollars? First find MegaCorp's total daily profits: $3,000,000 + $5,000,000 = $<<3000000+5000000=8000000>>8,000,000 Then multiply that number by the number of days in a year to find their annual profits: 365 days/year * $8,000,000 = $<<365*8000000=2920000000>>2,920,000,000 Then multiply their monthly expenses by the number of months in a year to find their annual expenses: $30,000,000/month * 12 months = $<<30000000*12=360000000>>360,000,000 Then subtract their annual expenses from their annual earnings to find their annual profit: $2920000000 - $360,000,000 = $2,560,000,000 Then multiply the annual profits by the percentage paid for the fine to find the value of the fine in dollars: $2,560,000,000 * 1% = $<<2560000000*1*.01=25600000>>25,600,000 #### 25600000 Brianna reads two books a month. This year, she was given six new books as a gift, she bought eight new books, and she plans to borrow two fewer new books than she bought from the library. How many of her old books from her old book collection will she have to reread to have two books to read a month this year? Brianna needs 12 * 2 = <<12*2=24>>24 books to get her through the year. She will borrow 8 - 2 = <<8-2=6>>6 new books from the library. With the books she was given, the books she bought, and the library books, she will have 6 + 8 + 6 = <<6+8+6=20>>20 new books to read this year. Thus, she will need to reread 24 - 20 = <<24-20=4>>4 of her old books this year. #### 4 Bugs are thriving in a garden of 30 plants. The bugs are very hungry today and completely ate 20 plants. The next day, they were still full and only ate half of the remaining plants. After that, they ate only 1 of the plants that were left. How many plants remain? The bugs ate enough plants for there to be 30-20=<<30-20=10>>10 left. They were still full and only ate half, leaving 10/2=<<10/2=5>>5 plants left. Later on, the bugs only ate 1 more which left 5-1=<<5-1=4>>4 plants in the garden. #### 4 Aliens and Martians have different numbers of limbs. Aliens have three arms and eight legs, while Martians have half as many legs and twice as many arms. How many more limbs will five aliens have than five Martians? Martians have 2 * 3 = <<2*3=6>>6 arms each. They have 8 / 2 = <<8/2=4>>4 legs each. Five martians will have 5 * 6 + 5 * 4 = 30 + 20 = <<5*6+5*4=50>>50 limbs. Five aliens will have 5 * 3 + 5 * 8 = 15 + 40 = <<5*3+5*8=55>>55 limbs. Five aliens will have 55 - 50 = <<55-50=5>>5 more limbs than five Martians. #### 5