There are 16 people at a dinner party. There are 40 dinner rolls available for them. Half the people eat 1 1/2 rolls each. The other half eat 1/2 a roll each. How many dinner rolls are leftover?

How many people are in the other half? ** Half the people at the party is 16 / 2 =

<<16/2=8>>8 people. How many dinner rolls are eaten by the other half? ** 8 people at the party eat 1 1/2 rolls each, 8 x 1 1/2 = 12 dinner rolls eaten. How many dinner rolls are eaten by the other half? ** 8 people at the party eat 1/2 a roll each, 8 x 1/2 = <<8*1/2=4>>4 dinner rolls eaten. How many dinner rolls are eaten by the other half? ** Combined, the people at the party ate 12 + 4 = <<12+4=16>>16 dinner rolls. How many dinner rolls are left? ** There were originally 40 dinner rolls - 16 that got eaten = <<40-16=24>>24 dinner rolls leftover. #### 24 Rosie runs 6 miles per hour. She runs for 1 hour on Monday, 30 minutes on Tuesday, 1 hour on Wednesday, and 20 minutes on Thursday. If she wants to run 20 miles for the week, how many minutes should she run on Friday? How many miles does Rosie run on Monday and Wednesday? ** On Monday and Wednesday, Rosie runs 6*1= <<6*1=6>>6 miles. How many miles does Rosie run on Tuesday? ** On Tuesday, Rosie runs 6*(30 minutes/60 minutes) = <<6*(30/60)=3>>3 miles. How many miles does Rosie run on Thursday? ** On Thursday, Rosie runs 6*(20 minutes/60 minutes)=<<6*(20/60)=2>>2 miles. How many miles has Rosie run so far this week? ** So far this week Rosie has run 6+3+6+2=<<6+3+6+2=17>>17 miles. How many miles must Rosie run on Friday? ** To reach her goal, she must run 20-17=<<20-17=3>>3 miles on Friday. How many minutes should Rosie run on Friday? ** Thus, she should run for 6/3=.5 hour which is 30 minutes. #### 30 Gary bought his first used car for $6,000. Gary borrowed the money from his dad who said he could pay him back the full amount over 5 years. Gary decided he would pay his dad back the full amount in 2 years. How much more is Gary spending per month to pay the loan off in 2 years instead of 5? How many months are in 2 years? ** A full year has 12 months. So 2 years is 2*12 = <<2*12=24>>24 months How much does Gary pay each month? ** The loan amount is $6,000 that he will repay in 24 months so 6000/24 = $<<6000/24=250>>250 per month How many months would it take to pay the loan off in 5 years? ** If he paid his dad back in 5 years that 5*12 = <<5*12=60>>60 months How much would the loan cost in 5 years? ** $6,000 loan spread out over 60 months is 6000/60 = $<<6000/60=100>>100 per month How much more is Gary spending per month to pay the loan off in 2 years instead of 5? ** To pay it off in 2 years instead of 5, Gary is paying 250-100 = $<<250-100=150>>150 more per month #### 150 Sansa is a famous artist, she can draw a portrait and sell it according to its size. She sells an 8-inch portrait for $5, and a 16-inch portrait for twice the price of the 8-inch portrait. If she sells three 8-inch portraits and five 16-inch portraits per day, how many does she earns every 3 days? How much does Sansa earn every day? ** Sansa earns $5 x 3 = $<<5*3=15>>15 every day by selling three 8-inch portraits. How much does the 16-inch portrait cost? ** The price of the 16-inch portrait is $5 x 2 = $<<5*2=10>>10 each. How much does Sansa earn every day? ** So, she earns $10 x 5 = $<<10*5=50>>50 every day by selling five 16-inch portraits. How much does Sansa earn every day? ** Her total earnings is $50 + $15 = $<<50+15=65>>65 every day. How much does Sansa earn every 3 days? ** Therefore, the total amount she earns after 3 days is $65 x 3 = $<<65*3=195>>195. #### 195 Archibald eats 1 apple a day for two weeks. Over the next three weeks, he eats the same number of apples as the total of the first two weeks. Over the next two weeks, he eats 3 apples a day. Over these 7 weeks, how many apples does he average a week? How many apples did Archibald eat in the first two weeks? ** He ate 14 apples the first two weeks because 14 x 1 = 14 How many apples did Archibald eat in the first two weeks? ** He ate 14 apples in the next three weeks because 14 = <<14=14>>14 How many apples did Archibald eat in the first two weeks? ** He ate 42 apples in the final two weeks because 14 x 3 = <<14*3=42>>42 How many apples did Archibald eat in total? ** He ate 70 apples in total. How many apples did Archibald average a week? ** He averaged 10 apples a week because 70 / 7 = <<70/7=10>>10 #### 10 Susie has $200 in her piggy bank. If she puts 20% more money into her piggy bank, how much money she will have? How much money will Susie have if she puts 20% more money into her piggy bank? ** If Susie puts 20% more money into her piggy bank, she'll have 20/100*200 = $<<20/100*200=40>>40 more in her piggy bank. How much money will Susie have in her piggy bank? ** The total amount of money in Susie's piggy bank will increase to $200+$40=$<<200+40=240>>240 #### 240 Benny bought 2 soft drinks for$ 4 each and 5 candy bars. He spent a total of 28 dollars. How much did each candy bar cost? How much did Benny spend on soft drinks? ** Benny spent 2 * $4 = $<<2*4=8>>8 on soft drinks. How much did Benny spend on candy bars? ** Benny spent a total of $28 - $8 on soft drinks = $<<28-8=20>>20 on candy bars. How much did each candy bar cost? ** Benny spent $20 / 5 candy bars = $<<20/5=4>>4 for each candy bar. #### 4 Jack has a stack of books that is 12 inches thick. He knows from experience that 80 pages is one inch thick. If he has 6 books, how many pages is each one on average? How many pages are in the stack? ** There are 960 pages because 80 x 12 = <<80*12=960>>960 How many pages are in each book? ** Each book is 160 pages because 960 / 6 = <<960/6=160>>160 #### 160 Wickham is throwing a huge Christmas party. He invites 30 people. Everyone attends the party, and half of the guests bring a plus one (one other person). He plans to serve a 3-course meal for the guests. If he uses a new plate for every course, how many plates does he need in total for his guests? How many guests bring a plus one? ** The number of guests that bring a plus one is 30 / 2 = <<30/2=15>>15 guests How many guests are there? ** The total number of guests at the party, including the plus ones, is 30 + 15 = <<30+15=45>>45 guests How many plates does Wickham need? ** Since there are 3 courses, Wickham will need 45 * 3 = <<45*3=135>>135 plates #### 135 There are some lions in Londolozi at first. Lion cubs are born at the rate of 5 per month and lions die at the rate of 1 per month. If there are 148 lions in Londolozi after 1 year, how many lions were there in Londolozi at first? What is the change in lions each month? ** There are 5-1=<<5-1=4>>4 more lions each month. How many additional lions will there be after 1 year? ** There will be 4*12=<<4*12=48>>48 more lions after 1 year. How many lions were there in Londolozi at first? ** There were 148-48=<<148-48=100>>100 lions in Londolozi at first. #### 100