Jacob is 24 years now. His brother Tony is half Jacob's age. In 6 years how old will tony be?

How old is Tony now? ** Tony’s age now is 24 / 2 =

<<24/2=12>>12 years old. How old will Tony be in 6 years? ** In 6 years he will be 12 + 6 = <<12+6=18>>18 years old. #### 18 James buys 200 lotto tickets for 2 dollars each. Of those tickets 20% are winners. 80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000. The other tickets win an average of $10. How much did he profit? How much did James spend? ** He spent 200*2=$<<200*2=400>>400 How many tickets were there? ** There were 200*.2=<<200*.2=40>>40 tickets How many 5 dollar winners are there? ** Of those 40*.8=32 are 5 dollar winners How much do the 5 dollar winners win? ** So they win 32*5=$<<32*5=160>>160 How many other winning tickets are there? ** He has 40-32=<<40-32=8>>8 other winning tickets How much do the other winning tickets win? ** Of those 8-1=<<8-1=7>>7 wins $10 How much do the other winning tickets win? ** So they win 10*7=$<<10*7=70>>70 How much did James profit? ** So he won 5000+70+160-400=$<<5000+70+160-400=4830>>4830 #### 4830 In a community of 50 families, 15 families own 2 dogs, 20 families own 1 dog, while the remaining families own 2 cats each. How many dogs and cats are there in all? How many dogs do the 15 families own? ** The 15 families own 15x2=<<15*2=30>>30 dogs. How many dogs do the 20 families own? ** The 20 families own 20x1=<<20*1=20>>20 dogs. How many cat owners are there? ** There are 50-15-20=<<50-15-20=15>>15 cat owners. How many cats do the remaining families own? ** The remaining families own 15x2=<<15*2=30>>30 cats. How many dogs and cats are there in all? ** There are 30+20+30=<<30+20+30=80>>80 dogs and cats in the village. #### 80 Michelangelo has 28 ceilings to paint. This week, he paints 12 of them. Next week, he will paint 1/4 the number of ceilings he did this week. How many ceilings will be left to paint after next week? How many more ceilings will Michelangelo have to paint after this week? ** After this week, Michelangelo will have 28-12=<<28-12=16>>16 more ceilings to paint. How many ceilings will Michelangelo paint next week? ** Next week, Michelangelo will paint 12/4=<<12/4=3>>3 ceilings. How many more ceilings will Michelangelo have to paint after next week? ** Michelangelo will have 16-3=<<16-3=13>>13 more ceilings to paint. #### 13 Alex makes luxury dresses out of silk. Each dress needs 5 meters of silk and Alex has 600 meters of silk in storage. His friends also want to learn how to make these dresses so Alex gives all 5 of them 20 meters of silk each. He uses the rest to make dresses himself. How many dresses can Alex make? How many meters of silk does Alex give to his friends? ** Alex gives his friends a total of 5 friends * 20 meters of silk = <<5*20=100>>100 meters of silk. How many meters of silk does Alex have left in storage? ** This means he has 600 – 100 = <<600-100=500>>500 meters of silk left in storage. How many dresses can Alex make? ** He can therefore make 500 meters of silk / 5 meters of silk per dress = <<500/5=100>>100 dresses. #### 100 Tony has to run several errands in a day. He needs to drive 10 miles to get groceries, 15 miles to get a haircut and 5 miles to go to a doctor's appointment. How many miles will Tony have driven when he is halfway through driving around for his errands? How many miles will Tony drive in total? ** First, we need to find the total number of miles Tony will be driving by adding 10+15+5=<<10+15+5=30>>30 miles in total. How many miles will Tony have driven when he is halfway through driving around for his errands? ** To determine the halfway point, we simply divide the total number of miles by 2, performing 30/2=<<30/2=15>>15 miles driven when Tony is halfway done. #### 15 Veronica's flashlight was bright enough to be seen at night from a distance of 1000 feet. Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, and Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight. If Veronica's and Velma's flashlight were placed next to one another and turned on at night, how much farther, in feet, could Velma's flashlight be seen compared to Veronica's? How far could Freddie's flashlight be seen at night? ** Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 3*1000=<<3*1000=3000>>3000 feet. How far could Freddie's flashlight be seen at night? ** Five times farther than the distance from which Freddie's flashlight can be seen at night is 5*3000=<<5*3000=15000>>15,000 feet. How far could Velma's flashlight be seen at night? ** Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight, for a total distance of 15,000-2,000=<<15000-2000=13000>>13,000 feet. How far, in feet, could Velma's flashlight be seen compared to Veronica's? ** Compared to Veronica's flashlight, Velma's flashlight could be seen for a distance of 13,000-1,000=<<13000-1000=12000>>12,000 feet farther. #### 12,000 The city’s bus system carries 1,200,000 people each day. How many people does the bus system carry for 13 weeks? How many days are in the 13 weeks? ** 13 weeks have 13 * 7 = <<13*7=91>>91 days. How many people does the bus system carry for 91 days? ** For 91 days the bus system carries 1,200,000 * 91 = <<1200000*91=109200000>>109,200,000 people. #### 109,200,000 In the city, there is a block of flats. This block has 12 floors. Half of the floors have 6 apartments and the other half have 5 apartments. One apartment can accommodate a maximum of 4 residents. What is the maximum number of residents that can live in this block of flats? How many floors are there? ** Half of the floors have different numbers of apartments. Half the number of floors is 12 floors / 2 = <<12/2=6>>6 floors. How many apartments are there? ** One half of the block consists of 6 floors * 6 apartments/floor = <<6*6=36>>36 apartments. How many apartments are there? ** And the other half consists of 6 floors * 5 apartments/floor = <<6*5=30>>30 apartments. How many apartments are there? ** There are 30 + 36 = <<30+36=66>>66 apartments on all floors in the block. What is the maximum number of residents that can live in this block of flats? ** All the apartments can therefore accommodate 66 apartments * 4 residents/apartment = <<66*4=264>>264 residents. #### 264 A bus has a capacity of 200 people. If it carried 3/4 of its capacity on its first trip from city A to city B and 4/5 of its capacity on its return trip, calculate the total number of people the bus carried on the two trips? How many passengers did the bus carry from city A to city B? ** From city A to city B, the bus carried 3/4*200 = <<3/4*200=150>>150 passengers How many passengers did the bus carry on the return trip? ** On the return trip, the bus carried 4/5*200 = <<4/5*200=160>>160 passengers How many passengers did the bus carry in total? ** In total, the bus carried 160+150 = <<160+150=310>>310 passengers. #### 310