Dirk sells amulets at a Ren Faire. He sells for 2 days and each day he sells 25 amulets. Each amulet sells for 40 dollars and they cost him 30 dollars to make. If he has to give 10% of his revenue to the faire, how much profit did he make?

How many amulets did Dirk sell? ** He sold 2*25=

<<2*25=50>>50 amulets How much money did Dirk make? ** So he made 40*50=$<<40*50=2000>>2000 How much did the faire take? ** The faire took 2000*.1=$<<2000*.1=200>>200 How much did Dirk keep? ** So he kept 2000-200=$<<2000-200=1800>>1800 How much did the amulets cost to make? ** The amulets cost 50*30=$<<50*30=1500>>1500 to make How much profit did Dirk make? ** So he had a profit of 1800-1500=$<<1800-1500=300>>300 #### 300 At Clark's Food Store, apples cost 40 dollars for a dozen, and pears cost 50 dollars for a dozen. If Hank bought 14 dozen of each kind of fruit, how many dollars did he spend? How much did Hank spend on apples? ** If Hank bought 14 dozen apples, he spent 14*$40 = $<<14*40=560>>560 How much did Hank spend on pears? ** Hank also spent $50*14 = $<<50*14=700>>700 for 14 dozen pears. How much did Hank spend in total? ** The total cost of the fruits that hank bought is $700+$560 = $<<700+560=1260>>1260 #### 1260 Marcus takes a deck of standard playing cards and takes out all the face cards and the 8's. Mark picks a card at random and then replaces it 36 times. How many times should he expect to pick a card that's both red and has a number divisible by 3? How many cards are red? ** Without the face cards and the 8's, there are 9 cards of each suit. Half these cards are red, and 3/9 have numbers divisible by 3, so the odds of drawing a card divisible by 3 are 1/3. How many cards are red? ** Multiply the odds of drawing a red card by the odds of drawing a card divisible by 3 to find the odds of both things happening: 1/3 * 1/2 = 1/6 How many cards should Mark expect to pick? ** Finally, multiplying the probability of drawing a red/3-divisible card by the number of cards Mark draws to find how many he should expect to meet his criteria: 1/6 * 36 cards = <<1/6*36=6>>6 cards #### 6 Jess made 3 different stacks of wooden blocks. The first stack was 7 blocks high, the second stack was 5 block(s) higher than the first, and the final stack was 7 block(s) higher than the second. Jess’ little sister knocked over the entire first tower, in the second tower she left 2 blocks standing, and in the final tower she left 3 blocks standing. How many blocks in total fell down? How many blocks were in the second stack? ** Jess’ second stack was 7 blocks + 5 blocks = <<7+5=12>>12 blocks. How many blocks were in the third stack? ** Jess’ third stack was 12 blocks + 7 blocks = <<12+7=19>>19 blocks high. How many blocks did Jess’ sister knock over? ** Jess’ sister knocked down the second tower and knocked 12 blocks – 2 = <<12-2=10>>10 blocks knocked over. How many blocks did Jess’ sister knock over? ** Jess’ sister knocked down the final tower and knocked 19 blocks – 3 = <<19-3=16>>16 blocks knocked over. How many blocks were in total knocked over? ** Total blocks knocked over was 7 blocks + 10 + 16 = <<7+10+16=33>>33 blocks. #### 33 Every week, Lucas makes 4 pieces of chocolate candy for each of his students on Monday. He made 40 pieces of chocolate candy last Monday. This upcoming Monday, 3 of Lucas' students will not be coming to class. How many pieces of chocolate candy will Lucas make for his class on Monday? How many students does Lucas have? ** Since Lucas makes 4 pieces of chocolate per student, he has 40 / 4 = <<40/4=10>>10 students. How many students will be in Lucas' class? ** This upcoming Monday, there will be 10 - 3 = <<10-3=7>>7 students. How many pieces of chocolate candy will Lucas make for his class on Monday? ** Lucas will make 4 * 7 = <<4*7=28>>28 pieces of chocolate candy. #### 28 John assembles computers and sells prebuilt computers as a business. The parts for the computer cost $800. He sells the computers for 1.4 times the value of the components. He manages to build 60 computers a month. He has to pay $5000 a month in rent and another $3000 in non-rent extra expenses a month. How much profit does he make a month? How much does each computer sell for? ** He sells each computer for 1.4*800=$<<1.4*800=1120>>1120 How much profit does he make per computer? ** That means he makes a profit of 1120-800=$<<1120-800=320>>320 per computer How much money does John make from selling computers? ** So he makes 320*60=$<<320*60=19200>>19200 from selling computers How much does John have in extra expenses? ** He has extra expenses of 5000+3000=$<<5000+3000=8000>>8000 a month How much profit does John make a month? ** So his profit is 19200-8000=$<<19200-8000=11200>>11,200 #### 11200 Robbie weighs 100 pounds. Patty was 4.5 times as heavy as Robbie, but she has since lost 235 pounds by working out. How many more pounds does Patty weigh than Robbie now? How much did Patty used to weigh? ** Patty used to weigh 100*4.5 = <<100*4.5=450>>450 pounds. How much does Patty weigh now? ** Patty weighs 450-235 = <<450-235=215>>215 pounds after working out. How many more pounds does Patty weigh than Robbie now? ** Patty weighs 215-100 = <<215-100=115>>115 more pounds than Robbie. #### 115 Jason is tired of the neighborhood animals raiding his trash. He pepper-sprays some raccoons and 6 times as many squirrels. If he pepper-sprays 84 animals total, how many raccoons does he pepper-spray? Define a variable ** Let r be the number of raccoons Jason pepper-sprays and s be the number of squirrels. We know that r + s = 84 and s = 6r. Write an equation ** Substituting the second equation into the first equation, we get r + 6r = 84 Combine like terms ** Combining like terms, we get 7r = 84 Divide by 7 ** Dividing both sides by 7, we get r = 12 #### 12 A chef has served 58 adults, 35 fewer children than the number of adults, and twice as many seniors as children. What is the total number of guests served? How many children have been served? ** The chef has served 58 - 35 = <<58-35=23>>23 children. How many seniors have been served? ** The chef has served 23 x 2 = <<23*2=46>>46 seniors. What is the total number of guests served? ** Therefore, the total number of guests that the chef has served is 58 + 23 + 46 = <<58+23+46=127>>127. #### 127 Carrie is making punch. She adds 6 12-oz cans of Mountain Dew, 28 oz of ice, and a 40 oz bottle of fruit juice. How many 10 oz servings of punch does Carrie have? How many ounces of Mountain Dew are there? ** First find the total volume of the Mountain Dew: 6 cans * 12 oz/can = <<6*12=72>>72 oz How many ounces of punch are there? ** Then find the total volume of the punch: 72 oz + 28 oz + 40 oz = <<72+28+40=140>>140 oz How many servings are there? ** Then divide the total volume by the volume of each serving to find the number of servings: 140 oz / 10 oz/serving = <<140/10=14>>14 servings #### 14