Mara has 12 bags with 2 marbles in each bag. Markus has 2 bags with 13 marbles in each bag. How many more marbles does Markus have?

How many marbles does Mara have? ** Mara has 2 x 12 =

<<2*12=24>>24 marbles. How many marbles does Markus have? ** Markus has 2 x 13 = <<2*13=26>>26 marbles. How many more marbles does Markus have? ** Markus has 26 - 24 = <<26-24=2>>2 more marbles than Mara. #### 2 Jeff is collecting matchbox cars. He has twice as many cars as trucks. He has 60 total vehicles. How many trucks does he have? How many trucks does Jeff have? ** The number of trucks + 2(number of trucks) = 60 How many trucks does Jeff have? ** Therefore 3(number of trucks) = 60 How many trucks does Jeff have? ** Number of trucks = 20 because 60 / 3 = <<60/3=20>>20 #### 20 John chops down 30 trees. From each tree, he can make 25 planks. A table takes 15 planks to make and sells for $300. He paid $3000 for all the labor. How much profit did he make? How many planks did John make? ** He got 30*25=<<30*25=750>>750 planks How many tables can John make? ** So he can make 750/15=<<750/15=50>>50 tables How much money does John make? ** That means he makes 50*300=$<<50*300=15000>>15000 How much profit did John make? ** So his profit was 15000-3000=$<<15000-3000=12000>>12000 #### 12000 Alberto spent $2457 on a new engine for his car. Samara spent $25 on oil, $467 on tires and $79 on detailing for her car. How many more dollars did Alberto spend on his car? How much did Samara spend in total? ** Samara = 25 + 467 + 79 = $<<25+467+79=571>>571 How many more dollars did Alberto spend on his car than Samara? ** 2457 - 571 = $<<2457-571=1886>>1886 How many more dollars did Alberto spend on his car than Samara? ** Alberto spent $<<1886=1886>>1886 more on his car. #### 1886 The sewers in Middleton can handle 240,000 gallons of run-off. Each hour of rain produces 1000 gallons of runoff. How many days of rain can the sewers handle before they overflow? How many hours of runoff can the sewers handle? ** First find how many hours of runoff the sewers can handle: 240,000 / 1000 gallons/hour = <<240000/1000=240>>240 hours How many days of rain can the sewers handle? ** Then divide that time by the number of hours per day to find how many days of rain the sewers can handle: 240 hours / 24 hours/day = <<240/24=10>>10 days #### 10 In a 50-question test with two marks for each question, Meghan learned that she scored 20 marks less than her friend Jose, who scored 40 more marks than their friend Alisson. Calculate the total score for the three in the test combined if Jose got 5 questions wrong? How many marks are there in the test? ** If you answer every question correctly in the test, the total possible marks are 50*2= <<50*2=100>>100 marks. How many marks did Jose lose? ** If Jose got five questions wrong, he lost 5*2 = <<5*2=10>>10 marks because each question has two marks. How many marks did Jose score? ** Therefore, Jose scored 100-10 = <<100-10=90>>90 marks on the test. How many marks did Meghan score? ** Meghan scored 20 marks less than that which Jose got, a total of 90-20 = <<90-20=70>>70 marks. How many marks did Jose and Meghan score? ** The total marks that Jose and Meghan scored in the test are 70+90 = <<70+90=160>>160 How many marks did Alisson score? ** Alisson scored 90-40 = <<90-40=50>>50 marks in the examination, 40 marks less than that which Jose scored on the test. How many marks did the three score? ** The total number of marks that the three scored in the test is 160+50 = <<160+50=210>>210 #### 210 Christopher uses 1 packet of a sugar substitute in his coffee. He has 2 coffees a day. The packets come 30 to a box and cost $4.00 a box. How much will it cost him to have enough sugar substitutes to last him 90 days? How many packets does Christopher use? ** He uses 1 packet per cup of coffee and he has 2 cups a day so that's 1*2 = <<1*2=2>>2 packets How many packets does Christopher need? ** He wants enough to last him 90 days and he uses 2 packets a day so that's 90*2 = <<90*2=180>>180 packets How many boxes of sugar substitute does Christopher need? ** The packets come 30 to a box and he needs 180 packets so that's 180/30 = <<180/30=6>>6 boxes of sugar substitute How much does each box cost? ** Each box costs $4.00 and he needs 6 boxes so that's 4*6 = $<<4*6=24.00>>24.00 #### 24 Emma got $2000 from the bank. She bought $400 of furniture and gave 3/4 of the rest to her friend Anna. How much is left with Emma? How much money did Emma have after buying furniture? ** Emma had $2000 - $400 = $<<2000-400=1600>>1600 left after buying furniture How much money did Emma give to Anna? ** Emma gave Anna 3/4 * $1600 = $<<3/4*1600=1200>>1200 How much money is left with Emma? ** So, Emma is left with $1600 - $1200 = $<<1600-1200=400>>400 #### 400 John gets lost on his way home. His normal trip is 150 miles and would take him 3 hours. He ends up driving 50 miles out of the way and has to get back on track. How long did the trip take if he kept the same speed? How fast does John drive? ** His speed is 150/3=<<150/3=50>>50 mph How many miles was John detoured? ** He was detoured 50*2=<<50*2=100>>100 miles How many hours did John add? ** So that adds 100/50=<<100/50=2>>2 hours How long did the trip take? ** So the total trip was 3+2=<<3+2=5>>5 hours #### 5 Madeline needs $1200 to pay rent, $400 for groceries, $200 for medical expenses, and $60 for utilities. She also wants to save $200 in case of an emergency. She makes $15 per hour at her job. How many hours will Madeline need to work this month? How much money does Madeline need to pay all of her bills? ** Madeline needs 1200+400+200+60+200 = $<<1200+400+200+60+200=2060>>2060 to pay all of her bills. How many hours will Madeline need to work this month? ** She will need to work $2060/$15 per hour = 137.33 hours. How many hours will Madeline need to work this month? ** She will need to work 138 hours to pay all of her bills #### 138