Tim had a birthday party with a clown that cost $100 an hour for 4 hours. He also rented a bounce house for half the time that cost 3 times as much an hour. Everything else for the party cost $1000. How much did his birthday cost?

How much did the clown cost? ** The clown cost 100*4=$

<<100*4=400>>400 How much did the bounce house cost? ** The bounce house cost 100*3=$<<100*3=300>>300 per hour How many hours did he rent the bounce house for? ** He rented it for 4/2=<<4/2=2>>2 hours How much did the bounce house cost? ** So it cost 300*2=$<<300*2=600>>600 How much did Tim's birthday cost? ** That means the total cost was 400+600+1000=$<<400+600+1000=2000>>2000 #### 2000 A pencil costs $0.5 each and a folder costs $0.9 each. An office needs two dozen pencils and 20 pieces of folders. How much does it cost to buy the office supplies? How many pencils are in two dozen? ** Two dozens of pencils are equal to 2 x 12 = <<2*12=24>>24 pencils. How much do the pencils cost? ** So the total cost of pencils is $0.5 x 24 = $<<0.5*24=12>>12. How much do the folders cost? ** The total cost of folders is $0.9 x 20 = $<<0.9*20=18>>18. How much does it cost to buy the office supplies? ** Thus, the cost to buy the office supplies is $12 + $18 = $<<12+18=30>>30. #### 30 Joshua bought 25 oranges for $12.50. If he sells each one for 60c, how much profit in cents will he make on each orange? How much money did Joshua spend? ** $1 is equivalent to 100 cents so $12.50 is equivalent to 100*12.50 = <<12.50*100=1250>>1250 cents How much did each orange cost? ** He bought 25 oranges for 1250 cents so each orange cost 1250/25 = <<1250/25=50>>50 cents each How much profit in cents will he make on each orange? ** If he sells each orange for 60 cents, he is making a profit of 60-50 = <<60-50=10>>10 cents on each one. #### 10 A department store offers a 10% discount for the amount exceeding $100 of the customer's total charge. Jaco bought a pair of shoes for $74; 2 pairs of socks that cost $2 per pair; a bag that costs $42. How much will Jaco pay for those items? How much do the two pairs of socks cost? ** Two pairs of socks cost $2 x 2 = $<<2*2=4>>4. How much does Jaco's total charge amount to? ** Jaco's total charge is $74 + $4 + $42 = $<<74+4+42=120>>120. What is the amount that exceeds $100? ** The amount that exceeds $100 is $120 - $100 = $<<120-100=20>>20. How much of a discount does Jaco get? ** So, Jaco has $20 x 10/100 = $<<20*10/100=2>>2 discount. How much will Jaco pay for those items? ** Therefore, Jaco will pay $120 - $2 = $<<120-2=118>>118 for those items. #### 118 Martha met Ellen in the grocery store alone and asked her age. Martha realized she was twice as old as Ellen will be in six years. If Ellen is 10 years old now, calculate Martha's age now. How old will Ellen be in six years? ** In six years, Ellen will be 10+6 = <<10+6=16>>16 years old. How old will Martha be in six years? ** If Martha is twice Ellen's age in six years, she is 2*16 = <<2*16=32>>32 years. #### 32 John releases 3 videos on his channel a day. Two of them are short 2 minute videos and 1 of them is 6 times as long. Assuming a 7-day week, how many minutes of video does he release per week? How long is the 6-minute video? ** He releases 1 video that is 2*6=12 minutes long How many minutes of video does John release per day? ** So each day he releases 2+2+12=<<2+2+12=16>>16 minutes of videos How many minutes of video does John release per week? ** That means he releases 16*7=<<16*7=112>>112 minutes of videos #### 112 There are twice as many centipedes as humans on a certain island and half as many sheep as humans. How many sheep and humans in total are on the island if the number of centipedes is 100? How many humans are on the island? ** The number of humans on the island is 100 / 2 = <<100/2=50>>50. How many sheep are on the island? ** There are 1/2 * 50 = <<1/2*50=25>>25 sheep on the island. How many sheep and humans are on the island? ** The total number of sheep and humans is 25 + 50 = <<25+50=75>>75. #### 75 Ms. Mitsuko told the class that if the average score on their quiz is higher than 75% then they will get a pizza party. There are 25 students in the class. One student is absent and has to take the test the next day. The average score of the students who took the test was 77%. What is the lowest grade the absent student can get for the class to still get a pizza party? How many points does the class need to get? ** The total percentage the class needs to get is 18.75 because 25 x .75 = <<25*.75=18.75>>18.75 How many points does the class have absent the one student? ** The total percentage the class has absent the one student is <<18.48=18.48>>18.48 What is the lowest grade the absent student can get for the class to still get a pizza party? ** The lowest the absent student can get and still have a pizza party is 27% because (18.75-18.48)x 100 = <<(18.75-18.48)*100=27>>27 #### 27 An archaeologist discovered three dig sites from different periods in one area. The archaeologist dated the first dig site as 352 years more recent than the second dig site. The third dig site was dated 3700 years older than the first dig site. The fourth dig site was twice as old as the third dig site. The archaeologist studied the fourth dig site’s relics and gave the site a date of 8400 BC. What year did the archaeologist date the second dig site? How old was the third dig site? ** The third dig site was dated from the year 8400 / 2 = <<8400/2=4200>>4200 BC. How old was the first dig site? ** Thus, the first dig site was dated from the year 4200 - 3700 = <<4200-3700=500>>500 BC. How old was the second dig site? ** The second dig site was 352 years older, so it was dated from the year 500 + 352 = <<500+352=852>>852 BC. #### 852 Alyssa took 100 photos on vacation. She wants to put them in a photo album with 30 pages. She can place 3 photos each on the first 10 pages. Then she can place 4 photos each on the next 10 pages. If she wants to put an equal number of photos on each of the remaining pages of the album, how many photos can she place on each page? How many photos can be placed in the first 10 pages? ** There are 3 x 10 = <<3*10=30>>30 photos in total that can be placed in the first 10 pages. How many photos can be placed in the next 10 pages? ** There are 4 x 10 = <<4*10=40>>40 photos in total that can be placed in the next 10 pages. How many pages have been used? ** A total of 10 + 10 = <<10+10=20>>20 pages of the album have been used. How many photos can be placed on those 20 pages? ** A total of 30 + 40 = <<30+40=70>>70 photos can be placed on those 20 pages. How many photos are left to be placed on the album? ** So there are still 100 - 70 = <<100-70=30>>30 photos left to be placed on the album. How many pages are left in the album? ** And there are 30 - 20 = <<30-20=10>>10 pages left in the album. How many photos can be placed on each of the pages? ** Therefore, 30/10 = <<30/10=3>>3 photos can be placed on each of the pages. #### 3