Fiona completed 36 math questions in an hour. Shirley was able to complete twice as many math questions within that same time, and Kiana completed half of the sum of Fiona and Shirley's math questions. If they each did the same number of questions the following hour, how many math questions did all three girls complete in 2 hours?

How many math questions did Shirley complete in an hour? ** Shirley completed 36 x 2 =

<<36*2=72>>72 questions How many math questions did Fiona and Shirley complete in an hour? ** The sum of Fiona and Shirley's questions is 36 + 72 = <<36+72=108>>108 How many math questions did Kiana complete in an hour? ** Kiana completed 108/2 = <<108/2=54>>54 questions How many math questions did Fiona, Shirley, and Kiana complete in an hour? ** In one hour, they completed 108 +54 = <<108+54=162>>162 questions. How many math questions did Fiona, Shirley, and Kiana complete in 2 hours? ** In two hours, they completed 162 x 2 = <<162*2=324>>324 questions. #### 324 Marcy's grade is electing their class president. Marcy got three times as many votes as Barry, who got twice as many as 3 more than the number of votes Joey got. If Joey got 8 votes, how many votes did Marcy get? How many votes did Joey get? ** First, add three to Joey's vote total: 8 votes + 3 votes = <<8+3=11>>11 votes How many votes did Joey get? ** Then double that number to find the number of votes Barry got: 11 votes * 2 = <<11*2=22>>22 votes How many votes did Marcy get? ** Then triple that number to find Marcy's vote total: 22 votes * 3 = <<22*3=66>>66 votes #### 66 A year ago, the total cost of buying a lawnmower was 2/5 times less than the cost it goes for now. If the cost was $1800 a year ago, calculate how much it would cost Mr. Lucian to buy 4 such lawnmowers. How much more does it cost to buy a lawnmower now than it did a year ago? ** If the price of a lawnmower was $1800 a year ago, 2/5 less than the cost right now, then it now costs 2/5*1800 = $720 more to buy one lawnmower. How much does it cost to buy a lawnmockr right now? ** The total cost of buying one lawnmower right now is $1800+$720 = $<<1800+720=2520>>2520 How much will it cost Mr. Lucian to buy 4 such lawnmowers? ** To purchase 4 such lawnmowers, Mr. Lucian will have to pay $2520*4 = $<<2520*4=10080>>10080 #### 10080 John gets a bonus that's the same percentage every year. Last year he made $100,000 and got a $10,000 bonus. This year he makes $200,000. How much will John make this year when adding both his total pay and bonus together? How much was John's bonus last year? ** First we need to determine the bonus percentage, which is found by dividing the bonus amount by the amount John made for the year, taking 10,000/100,000= <<10000/100000=.10>>.10, or 10 percent. How much will John make this year when adding both his total pay and bonus together? ** Then, we take John's earnings from this year and multiply them by the same percentage, taking 200,000*.1= 20,000 dollars in bonuses How much will John make this year? ** We then add these two numbers together, for a total of 200,000+20,000= <<200000+20000=220000>>220,000 dollars. #### 220000 Clarissa is responsible for getting 10 copies of a manuscript printed and having each copy bound. The printers charge $0.05 per page to copy it and $5.00 per manuscript to have it bound. If the manuscript is 400 pages, how much will it cost to have it copied and bound 10 times? How much does the printers charge for copying the manuscript? ** The manuscript is 400 pages and the printers charge $0.05 per page for a total of 400*.05 = $<<400*0.05=20.00>>20.00 per manuscript How much does it cost to have the manuscript copied? ** She needs 10 copies made and it costs $20.00 per manuscript so that's 10*20 = $<<10*20=200.00>>200.00 How much does it cost to have the manuscript bound? ** She also needs each of the 10 copies to be bound, which is $5.00 per manuscript so that's 5*10 = $<<10*5=50.00>>50.00 How much will it cost to have the manuscript copied and bound? ** It will cost $200.00 to have them printed and $50.00 to have them bound for a total of 200+50 = $<<200+50=250.00>>250.00 #### 250 Roberto and Valerie are jumping rope at recess. Roberto can skip 4,200 times an hour. Valerie can skip 80 times a minute. If they jump rope for fifteen minutes straight, how many skips will they total? How many skips does Roberto do per minute? ** Roberto skips 70 times per minute because 4,200 / 60 = <<4200/60=70>>70. How many skips do they do together? ** Together they skip 150 times a minute. How many skips will they total? ** They will skip 2,250 times because 150 x 15 = <<150*15=2250>>2,250 #### 2,250 It takes 30 minutes to make pizza dough and another 30 minutes in the oven for the pizza to cook. If one batch of pizza dough can make 3 pizzas but the oven can only fit 2 pizzas at a time, how many hours would it take for Camilla to finish making 12 pizzas? How many batches of pizza dough does Camilla need? ** Camilla needs 12/3 = <<12/3=4>>4 batches of pizza dough. How many minutes would it take to make 4 batches of pizza dough? ** 4 batches of pizza would require 30 x 4 = <<4*30=120>>120 minutes How many times does Camilla need to bake the pizzas? ** Camilla needs to bake the pizzas 12/2 = <<12/2=6>>6 times How many minutes would it take to bake the pizzas 6 times? ** 6 times in the oven would take 30 x 6 =<<6*30=180>>180 minutes How many minutes would it take to finish making 12 pizzas? ** Altogether, it would take 120 + 180 = <<120+180=300>>300 minutes to finish making 12 pizzas How many hours would it take to finish making 12 pizzas? ** 300 minutes is 300/60 = <<300/60=5>>5 hours #### 5 Frankie and Carla played 30 games of ping pong against each other. Frankie won half as many games as did Carla. How many games did Carla win? Define a variable ** Let x be the number of games that Frankie won. How many games did Carla win? ** Then the number of games Carla won would be 2*x. Write an equation ** And the sum of all the games would be x+2*x=30 games. Simplify ** Thus, the expression simplifies to 3*x=30. Divide by 3 ** And the value of x=<<10=10>>10 games. How many games did Carla win? ** Therefore, the number of Carla's wins would be 2x=20 games. #### 20 A man is returning home from work and trying to decide which route to take. His first route option includes 3 stoplights. This route will take him 10 minutes if all three lights are green, but each light that is red will add 3 minutes to the trip. The second route does not include any stoplights and takes 14 minutes. If the man chooses the first route, how much longer will his trip be if all 3 stoplights are red? How long will the first route take if all 3 stoplights are red? ** If all 3 stoplights are red, the first route will take 10 + 3*3 = <<10+3*3=19>>19 minutes. How much longer will the first route take than the second route? ** Thus, the first route will take 19-14 = <<19-14=5>>5 minutes longer than the second route. #### 5 At Snowflake Plastics, each employee gets 10 sick days and 10 vacation days per year. If Mark uses half his allotment of both types of days in a year, how many hours' worth of days does he have left if each day covers an 8-hour long workday? How many days are there in total? ** First, we add the two types of days together to find 10+10=<<10+10=20>>20 days in total between the two types. How many days are left? ** We then divide this number in half to find Mark's remaining number of days, getting 20/2= <<10=10>>10 days remaining. How many hours' worth of days does Mark have left? ** Since each day counts as 8 hours, we multiply 10*8= <<10*8=80>>80 hours' worth of days remaining for Mark. #### 80