Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks. How much will his total profit be?
How much will Niko earn from the first four pairs of socks? ** Niko will earn $2 x 25/100 = $
<<2*25/100=0.5>>0.5 profit for each of the first four pairs of socks. How much will Niko earn from the first four pairs of socks? ** So, his total profit for the four pairs of socks will be $0.5 x 4 = $<<0.5*4=2>>2. How much will Niko earn from the other 5 pairs of socks? ** His total earnings for the 5 pairs of socks is $0.2 x 5 = $<<0.2*5=1>>1. How much will Niko's total profit be? ** Therefore, his total profit will be $2 + $1 = $<<2+1=3>>3. #### 3 Jana is 5 inches taller than Kelly, and Kelly is 3 inches shorter than Jess. If Jess is 72 inches tall, how tall is Jana? How tall is Kelly? ** Kelly is 72-3=<<72-3=69>>69 inches tall. How tall is Jana? ** Jana is 69+5=<<69+5=74>>74 inches tall. #### 74 Calvin is a bug collector. In his collection, he has 12 giant roaches, 3 scorpions, half as many crickets as roaches, and twice as many caterpillars as scorpions. How many insects does Calvin have in his collection? How many crickets does Calvin have? ** With half as many crickets as roaches, he has 12/2=<<12/2=6>>6 crickets. How many caterpillars does Calvin have? ** With twice as many caterpillars as scorpions, he has 3*2=<<3*2=6>>6 caterpillars. How many insects does Calvin have in his collection? ** In total, he has 12+3+6+6=<<12+3+6+6=27>>27 insects in his bug collection. #### 27 If you buy a dozen of doughnuts, it costs $8; but if you buy 2 dozens, it costs $14. How much will you save from buying 3 sets of 2 dozens than buying 6 sets of 1 dozen? How much does 6 sets of 1 dozen cost? ** Six sets of 1 dozen of doughnuts cost $8 x 6 = $<<6*8=48>>48. How much does 3 sets of 2 dozens cost? ** Three sets of 2 dozens of doughnuts cost $14 x 3 = $42. How much will you save from buying 3 sets of 2 dozens than buying 6 sets of 1 dozen? ** Therefore, you can save $48 - $42 = $<<48-42=6>>6. #### 6 Ricciana and Margarita joined in their school's long jump event. Ricciana ran and jumped a total of 24 feet - 20 feet for running and 4 feet for jumping. Margarita ran for 18 feet and jumped 1 foot less than twice Ricciana's jump. How much farther did Margarita run and jump than Ricciana? How far did Margarita jump? ** Twice the distance of Ricciana's jump is 4 x 2 = <<4*2=8>>8 feet. How far did Margarita jump? ** So, Margarita jumped 8 - 1 = <<8-1=7>>7 feet. How far did Margarita run and jump? ** Margarita ran and jumped for 18 + 7 = <<18+7=25>>25 feet in all. How far did Margarita run and jump than Ricciana? ** So, Margarita ran and jumped 25 - 24 = <<25-24=1>>1 foott more than Ricciana. #### 1 A carton of ice cream contains 10 scoops each. Mary has 3 cartons of ice cream, one chocolate, one strawberry and one vanilla. Ethan wants one scoop of vanilla and one of chocolate. Lucas, Danny and Connor all want 2 scoops of chocolate. Olivia would like a scoop of vanilla and one of strawberry. Shannon wants twice as much as Olivia. How many scoops of ice cream will be left? How many scoops of ice cream does Mary have? ** The total number of scoops of ice cream that Mary has is 3 cartons * 10 scoops = <<3*10=30>>30 scoops of ice cream. How many scoops of ice cream will Lucas, Danny and Connor eat? ** Lucas, Danny and Connor will eat 2 scoops * 3 people = <<2*3=6>>6 scoops of ice cream. How many scoops of ice cream will Shannon eat? ** Shannon will eat 2 * (1 vanilla + 1 strawberry) = <<2*(1+1)=4>>4 total scoops of ice cream. How many scoops of ice cream will the kids eat? ** Combined the kids will eat a total of 2 + 6 + 2 + 4 scoops = <<2+6+2+4=14>>14 scoops of ice cream. How many scoops of ice cream will Mary have left? ** Mary will have 30 scoops - 14 scoops = <<30-14=16>>16 scoops of ice cream remaining. #### 16 Adam’s wardrobe is too crowded so he decides to donate some of his clothes to a charity shop. He takes out 4 pairs of pants, 4 jumpers, 4 pajama sets (top and bottom), and 20 t-shirts, then asks his friends if they have anything they want to donate. 3 of his friends donate the same amount of clothing as Adam each. Then he takes another look over his clothing and decides that he actually wants to keep half of his clothes. How many articles of clothing are being donated in total? How many pajama sets are there? ** As pajama sets are made up of a top and a bottom, there are 4 pajama sets * 2 = <<4*2=8>>8 articles of clothing from Adam's donation. How many articles of clothing are being donated in total? ** In total, Adam is donating 4 pairs of pants + 4 jumpers + 8 pajama pieces + 20 t-shirts = <<4+4+8+20=36>>36 articles of clothing. How many articles of clothing are being donated by Adam's friends? ** Together, the 3 friends donate a total of 36 articles of clothing per friend * 3 friends = <<36*3=108>>108 articles of clothing. How many articles of clothing are being donated in total? ** Adam changes his mind and takes back half, which means he is now actually donating 36 / 2 = <<36/2=18>>18 articles of clothing. How many articles of clothing are being donated in total? ** There is therefore now a total of 108 + 18 = <<108+18=126>>126 articles of clothing being donated. #### 126 Wade is the star player of the basketball team. His average points per game is 20, and his teammates' average points per game is 40. How many points will their team have in total after 5 games? How many points will Wade have after 5 games? ** Wade's points is 5 x 20 = <<5*20=100>>100 after 5 games. How many points will his teammates have after 5 games? ** His teammates' points is 40 x 5 = <<40*5=200>>200 after 5 games. How many points will their team have in total after 5 games? ** So, the total score of the whole team is 100 + 200 = <<100+200=300>>300 after five games." #### 300 Karl sells clothing in his store. He sells a T-shirt that costs $5, some pants that cost $4, and some skirts that cost $6, he also sells some refurbished t-shirts that cost half the original price. How much is his total income if he sold two T-shirts, one pair of pants, four skirts, and six refurbished T-shirts? How much does the refurbished T-shirt cost? ** The refurbished T-shirt costs $5 / 2 = $<<5/2=2.5>>2.5. How much does the refurbished T-shirt earn? ** He earn $2.5 x 6 = $<<2.5*6=15>>15 for the refurbished T-shirt. How much can he earn for the T-shirts? ** He can earn $5 x 2 = $<<5*2=10>>10 for the T-shirts. How much can he earn for the pants? ** He can earn $4 x 1 = $<<4*1=4>>4 for the pants. How much can he earn for the skirts? ** He can earn $6 x 4 = $<<6*4=24>>24 for the skirts. How much can Karl earn? ** Therefore Karl can earn a total of $15 + $10 + $4 + $24 = $<<15+10+4+24=53>>53. #### 53 A box of chocolate bars was shared equally between Mike, Rita and Anita. If the box contains 12 bars, how many bars did Mike and Rita get (combined)? How many bars did each person get? ** A box of 12 bars was shared equally between 3 people so each person got 12/3 = <<12/3=4>>4 bars How many bars did Mike and Rita get (combined)? ** Mike and Rita together got 4+4 = <<4+4=8>>8 bars #### 8