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?
Two pairs of socks cost $2 x 2 = $
<<2*2=4>>4. Jaco's total charge is $74 + $4 + $42 = $<<74+4+42=120>>120. The amount that exceeds $100 is $120 - $100 = $<<120-100=20>>20. So, Jaco has $20 x 10/100 = $<<20*10/100=2>>2 discount. 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. In six years, Ellen will be 10+6 = <<10+6=16>>16 years old. 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? He releases 1 video that is 2*6=12 minutes long So each day he releases 2+2+12=<<2+2+12=16>>16 minutes of videos 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? The number of humans on the island is 100 / 2 = <<100/2=50>>50. There are 1/2 * 50 = <<1/2*50=25>>25 sheep 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? The total percentage the class needs to get is 18.75 because 25 x .75 = <<25*.75=18.75>>18.75 The total percentage the class has absent the one student is <<18.48=18.48>>18.48 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? The third dig site was dated from the year 8400 / 2 = <<8400/2=4200>>4200 BC. Thus, the first dig site was dated from the year 4200 - 3700 = <<4200-3700=500>>500 BC. 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? There are 3 x 10 = <<3*10=30>>30 photos in total that can be placed in the first 10 pages. There are 4 x 10 = <<4*10=40>>40 photos in total that can be placed in the next 10 pages. A total of 10 + 10 = <<10+10=20>>20 pages of the album have been used. A total of 30 + 40 = <<30+40=70>>70 photos can be placed on those 20 pages. So there are still 100 - 70 = <<100-70=30>>30 photos left to be placed on the album. And there are 30 - 20 = <<30-20=10>>10 pages left in the album. Therefore, 30/10 = <<30/10=3>>3 photos can be placed on each of the pages. #### 3 In a restaurant, the chef prepared 17 meals to sell for lunch. During lunch, he sold 12 meals. After lunch, the chef prepared another 5 meals for dinner. How many meals does the chef have for dinner, assuming he can use the remaining lunch meals as well? The chef had 17 - 12 = <<17-12=5>>5 meals left after lunch. So, the chef has 5 + 5 = <<5+5=10>>10 meals for dinner. #### 10 Clayton plays basketball on a team. He has played three games so far. In the first game, he scored 10 points. In the second game, he scored 14 points. In the third game, he scored 6 points. In the fourth game, he scored the average of his points from the first three games. How many total points did Clayton score during the first four games? During the first three games Clayton scored 10 points + 14 + 6 = <<10+14+6=30>>30 points. The average for Clayton's first three games is 30 points / 3 = <<30/3=10>>10 points per game. For the first four games, Clayton scored 30 points + 10 points = <<30+10=40>>40 points. #### 40 Jason has a carriage house that he rents out. He’s charging $50.00 per day or $500.00 for 14 days. Eric wants to rent the house for 20 days. How much will it cost him? He wants to rent for 20 days and there is a deal if you rent for 14 days so that leaves 20-14 = <<20-14=6>>6 individual days Each individual day is $50.00 and he will have 6 individual days for a total of 50*6 = $<<50*6=300.00>>300.00 14 days costs $500.00 and 6 days costs $300.00 for a total of 500+300 = $800.00 #### 800