A young girl pours 23 blue beads and 16 yellow beads into a bowl. She divides the total into 3 equal parts, removes some beads from each part, and doubles the rest to have 6 beads in each part now. How many beads were removed from each part?

How many beads are there? ** There are 23+16=

<<23+16=39>>39 beads in the bowl How many beads are in each part? ** Dividing them into 3 equal parts give 39/3=<<39/3=13>>13 beads each How many beads were left in each part? ** Before doubling the number of beads, she had 6/2=<<6/2=3>>3 beads left in each part. How many beads were removed from each part? ** Therefore she had removed 13-3=<<13-3=10>>10 beads from each part. #### 10 Jerome is taking a 150-mile bicycle trip. He wants to ride 12 miles for 12 days. How long will he ride on the 13th day to finish his goal? How many miles does Jerome ride in 12 days? ** Jerome rides a total of 12 x 12 = <<12*12=144>>144 miles in 12 days. How many miles will Jerome ride on the 13th day? ** So, he will ride 150 - 144 = <<150-144=6>>6 miles on the 13th day to finish his goal. #### 6 At Mario's barbershop haircuts are 50% more expensive during the weekends. If Mario paid $18 for his last haircut on Monday, how much he would have paid the day before? How much would Mario's haircut have been on Sunday? ** Mario's $18 cut on Monday would have been 50% more expensive on Sunday or $18*50% = $<<18*50*.01=9>>9 more expensive How much would Mario have paid on Sunday? ** That means he would have paid $9 more on Sunday than what he paid ($18) on Monday or $9+$18 = $<<9+18=27>>27 #### 27 John throws a block party and splits the cost with 3 other people. They buy 100 pounds of burgers at $3 per pound. They also buy $80 of condiments and propane to cook everything. John also buys all the alcohol which costs $200. How much did John spend altogether How many ways does John split the cost? ** He splits the cost 3+1=<<3+1=4>>4 ways How much do the burgers cost? ** 100 pounds of burgers at $3 per pound makes 100*3=$<<100*3=300>>300 How much did the burgers cost in total? ** In addition to $80 for condiments and propane the total cost was 300+80=$<<300+80=380>>380 How much did each of them pay? ** That means each of them paid 380/4=$<<380/4=95>>95 How much did John spend altogether? ** Then adding in the cost of alcohol, John spent 200+95=$<<200+95=295>>295 #### 295 The town’s annual budget totals $32 million. If half of the budget goes towards policing and $12 million goes towards education. How much money is left for managing public spaces? How much money is spent on policing? ** The annual budget for policing is 32 / 2 = $<<32/2=16>>16 million. How much money is spent on policing and education? ** The combined budget for education and policing is 16 + 12 = $<<16+12=28>>28 million. How much money is left for managing public spaces? ** There is 32 - 28 = $<<32-28=4>>4 million to manage public spaces. #### 4 Daniel has a collection of 346 video games. 80 of them, Daniel bought for $12 each. Of the rest, 50% were bought for $7. All others had a price of $3 each. How much did Daniel spend on all the games in his collection? How much did Daniel spend on 80 games? ** On 80 games, Daniel spend 80 games * $12/game = $<<80*12=960>>960. How many games are left? ** The rest of the collection is 346 games - 80 games = <<346-80=266>>266 games. How many games are bought for $7? ** 50% of these games means 50/100 * 266 games = <<50/100*266=133>>133 games. How much did Daniel spend on 133 games? ** Daniel bought them for $7 each, so he had to spend 133 games * $7/game = $<<133*7=931>>931 on them. How much did Daniel spend on 133 games? ** The other 133 games were bought for $3 each, so they've cost him 133 games * $3/game = $<<133*3=399>>399. How much did Daniel spend on all the games in his collection? ** On all games in total Daniel spent $960 + $931 + $399 = $<<960+931+399=2290>>2290. #### 2290 James joins a football team and becomes the star. He scores 4 touchdowns per game and each touchdown is worth 6 points. There are 15 games in the season. He also manages to score 2 point conversions 6 times during the season. The old record was 300 points during the season. How many points did James beat the old record by? How many points did James score per game? ** He scored 4*6=<<4*6=24>>24 points per game How many points did James score from touchdowns? ** So he scored 15*24=<<15*24=360>>360 points from touchdowns How many points did James score from the 2 point conversions? ** He also scored 2*6=<<2*6=12>>12 points from the 2 point conversions How many points did James score in total? ** So he scored a total of 360+12=<<360+12=372>>372 points How many points did James beat the old record by? ** That means he beat the old record by 372-300=<<372-300=72>>72 points #### 72 On Monday Buddy has 30 baseball cards. On Tuesday Buddy loses half of them. On Wednesday Buddy buys 12 baseball cards. On Thursday he buys a third of what he had on Tuesday. How many baseball cards does he have on Thursday? How many cards does Buddy have on Tuesday? ** On Tuesday Buddy has 30/2 = <<30/2=15>>15 baseball cards. How many cards does Buddy have on Wednesday? ** On Wednesday Buddy has 15+12 = <<15+12=27>>27 baseball cards. How many cards does Buddy buy on Thursday? ** On Thursday Buddy buys 15/3 = <<15/3=5>>5 baseball cards. How many cards does Buddy have on Thursday? ** On Thursday Buddy has a total of 27+5 = <<27+5=32>>32 baseball cards. #### 32 Manex is a tour bus driver. He has to drive 55 miles to the destination and drive going back to the starting point on a different way that is 10 miles farther. If he can drive 1 mile for 2 minutes and stayed 2 hours at the destination, how long will it take the bus driver to do the entire tour in hours? How many miles did the bus travel going back to the starting point? ** The bus traveled 55 + 10 = <<55+10=65>>65 miles going back to the starting point. How many miles did the bus travel in total? ** So, the bus traveled a total of 55 + 65 = <<55+65=120>>120 miles. How many minutes did it take the bus to travel? ** It took 120 x 2 = <<120*2=240>>240 minutes to travel. How many hours did the bus travel? ** Since there are 60 minutes in 1 hour, then the bus traveled for 240/60 = <<240/60=4>>4 hours. How long did the entire tour take? ** Therefore, the entire tour took 4 + 2 = <<4+2=6>>6 hours. #### 6 Grandpa Lou enjoys watching movies on the Hallmark channel, where every movie lasts 90 minutes. If, on Tuesday, he watched several full-length movies on the Hallmark channel for a total of 4 hours and 30 minutes, and then on Wednesday he watched on the same channel twice as many movies as he did on Tuesday. What is the maximum number of full-length movies Grandpa could have watched during these two days? How many minutes did Grandpa watch on Tuesday? ** 4 hours and 30 minutes is the same as 4*60+30=<<4*60+30=270>>270 minutes. How many movies could Grandpa watch in 4 hours and 30 minutes? ** At 90 minutes per movie, Grandpa could watch a total of 270/90=<<270/90=3>>3 entire movies in 4 hours and 30 minutes. How many movies did Grandpa watch on Wednesday? ** On Wednesday, he watched 2*3=<<2*3=6>>6 movies. What is the maximum number of full-length movies Grandpa could have watched during these two days? ** Thus, during these two days, he could have watched as many as 3+6=<<3+6=9>>9 movies. #### 9