Five friends eat at a fast-food chain and order the following: 5 pieces of hamburger that cost $3 each; 4 sets of French fries that cost $1.20; 5 cups of soda that cost $0.5 each; and 1 platter of spaghetti that cost $2.7. How much will each of them pay if they will split the bill equally?
How much does the hamburger cost? ** The cost of 5 pieces of hamburger is $3 x 5 = $
<<3*5=15>>15. How much does the French fries cost? ** The cost of 4 sets of French fries is $1.20 x 4 = $<<1.20*4=4.80>>4.80. How much does the soda cost? ** The cost of 5 cups of soda is $0.5 x 5 = $<<0.5*5=2.50>>2.50. How much will they pay? ** So their total bill is $15 + $4.80 + $2.50 +$2.7 = $<<15+4.8+2.5+2.7=25>>25. How much will each of them pay? ** Hence, each of the five friends will contribute $25/5 = $<<25/5=5>>5. #### 5 Artemis is making tea for a party. She knows her mom drinks an 8-ounce cup of tea and uses one ounce of tea. She will use this same ratio for the party. The party has 12 people there and each of them wants a 6-ounce cup of tea. How many ounces of tea does she need? How many ounces of tea does each person want? ** She is making 72 ounces of water because 12 x 6 = <<12*6=72>>72 How many ounces of tea does her mom drink? ** She needs 9 ounces of tea because 72 / 8 = <<72/8=9>>9 #### 9 Anna goes trick-or-treating in a subdivision where she gets 14 pieces of candy per house. Her brother Billy goes trick-or-tricking in a neighboring subdivision where he gets 11 pieces of candy per house. If the first subdivision has 60 houses and the second subdivision has 75 houses, how many more pieces of candy does Anna get? How many pieces of candy does Anna get? ** First find the total number of pieces of candy Anna gets: 14 pieces/house * 60 houses = 840 pieces How many pieces of candy does Billy get? ** Then find the total number of pieces of candy Billy gets: 11 pieces/house * 75 houses = <<11*75=825>>825 pieces How many more pieces of candy does Anna get than Billy? ** Then subtract the number of pieces Billy gets from the number Anna gets to find the difference: 840 pieces - 825 pieces = <<840-825=15>>15 pieces #### 15 A concert ticket costs $40. Mr. Benson bought 12 tickets and received a 5% discount for every ticket bought that exceeds 10. How much did Mr. Benson pay in all? How many tickets did Mr. Benson buy? ** Mr. Benson had a 5% discount for each of the 12 - 10 = <<12-10=2>>2 tickets. How much did those two tickets cost? ** So, those two tickets had a $40 x 5/100 = $<<40*5/100=2>>2 discount each. How much did each ticket cost? ** Hence, each ticket cost $40 - $2 = $<<40-2=38>>38 each. How much did those two tickets cost? ** Thus, two discounted tickets amount to $38 x 2 = $<<38*2=76>>76. How much did the other ten tickets cost? ** And the other ten tickets amount to $40 x 10 = $<<40*10=400>>400. How much did Mr. Benson pay in all? ** Hence, Mr. Benson paid a total of $400 + $76 = $<<400+76=476>>476. #### 476 Rachel and Sara want to attend a beauty and modeling contest. They both want to buy new pairs of shoes and dresses. Sara buys a pair of shoes which costs $50 and a dress which costs $200. How much should Rachel budget if she wants to spend twice as much as what Sara spent on the pair of shoes and dress? How much should Rachel budget for her pair of shoes? ** The cost Rachel should budget for her pair of shoes is $50 * 2 = $<<50*2=100>>100. How much should Rachel budget for her dress? ** The cost Rachel should budget for her dress is $200 * 2 = $<<200*2=400>>400. How much should Rachel budget? ** The total Rachel should budget is $100 + $400 = $<<100+400=500>>500. #### 500 A family of 12 monkeys collected 10 piles of bananas. 6 piles had 9 hands, with each hand having 14 bananas, while the remaining piles had 12 hands, with each hand having 9 bananas. How many bananas would each monkey get if they divide the bananas equally amongst themselves? How many bananas were in the first 6 bunches? ** The first 6 bunches had 6 x 9 x 14 = <<6*9*14=756>>756 bananas. How many remaining bunches were there? ** There were 10 - 6 = <<10-6=4>>4 remaining bunches. How many bananas were in the remaining bunches? ** The 4 remaining bunches had 4 x 12 x 9 = <<4*12*9=432>>432 bananas. How many bananas were there in total? ** All together, there were 756 + 432 = <<756+432=1188>>1188 bananas How many bananas would each monkey get if they divide the bananas equally amongst themselves? ** Each monkey would get 1188/12 = <<1188/12=99>>99 bananas. #### 99 An earthquake caused four buildings to collapse. Experts predicted that each following earthquake would have double the number of collapsing buildings as the previous one, since each one would make the foundations less stable. After three more earthquakes, how many buildings had collapsed including those from the first earthquake? How many buildings collapsed in the second earthquake? ** The second earthquake caused 2 * 4 = <<2*4=8>>8 buildings to collapse. How many buildings collapsed in the third earthquake? ** The third earthquake caused 2 * 8 = <<2*8=16>>16 buildings to collapse. How many buildings collapsed in the fourth earthquake? ** The fourth earthquake caused 16 * 2 = <<16*2=32>>32 buildings to collapse. How many buildings collapsed in total? ** Including the first earthquake, the earthquakes caused 4 + 8 + 16 + 32 = <<4+8+16+32=60>>60 buildings to collapse. #### 60 James is a first-year student at a University in Chicago. He has a budget of $1000 per semester. He spends 30% of his money on food, 15% on accommodation, 25% on entertainment, and the rest on coursework materials. How much money does he spend on coursework materials? How much does James spend on accommodation? ** Accommodation is 15% * $1000=$<<15*.01*1000=150>>150 How much does James spend on food? ** Food is 30% * $1000=$<<30*.01*1000=300>>300 How much does James spend on entertainment? ** Entertainment is 25% * $1000=$<<25*.01*1000=250>>250 How much does James spend on coursework materials? ** Coursework materials are thus $1000-($150+$300+$250) = $300 #### 300 It's Ava's birthday party. Her parents bought a unicorn piñata for $13 and filled it with all of her favorite treats. They bought 4 bags of Reese's for $9 per bag, 3 bags of Snickers for $5 per bag, and 5 bags of Skittles for $7 per bag. How much did the unicorn piñata and the treats cost altogether? How much did the Reese's cost? ** The four bags of Reese's cost $9 x 4 = $<<9*4=36>>36. How much did the Snickers cost? ** The three bags of Snickers cost $5 x 3 = $<<5*3=15>>15. How much did the Skittles cost? ** The five bags of Skittles cost $7 x 5 = $<<7*5=35>>35. How much did the unicorn piñata and the treats cost altogether? ** Therefore, the unicorn piñata and the treats cost $13 + $36 + $15 + $35 = $<<13+36+15+35=99>>99. #### 99 Carolyn practices the piano for 20 minutes a day and the violin for three times as long. If she practice six days a week, how many minutes does she spend practicing in a month with four weeks? How many minutes does Carolyn practice the violin? ** First find Carolyn's total violin practice time by tripling her piano practice time: 20 minutes/day * 3 = <<20*3=60>>60 minutes/day How many minutes does Carolyn practice in total? ** Then find the total amount of time she spends practicing each day: 60 minutes/day + 20 minutes/day = <<60+20=80>>80 minutes/day How many minutes does Carolyn practice in a week? ** Then find the total time she spends practicing each week: 80 minutes/day * 6 days/week = <<80*6=480>>480 minutes/week How many minutes does Carolyn practice in a month? ** Then find the total time she spends practicing each month: 480 minutes/week * 4 weeks/month = <<480*4=1920>>1920 minutes/month #### 1920