The age of Gladys is equal to twice the sum of the ages of Billy and Lucas. Billy is 3 times younger than Gladys who is 30 years old now. How old will Lucas be three years from now?

How old is Billy? ** Billy's age is 30/3 =

<<30/3=10>>10 years old. What is the sum of the ages of Billy and Lucas? ** The sum of the ages of Billy and Lucas is 30/2 = <<30/2=15>>15. How old is Lucas now? ** So, Lucas is 15 - 10 = <<15-10=5>>5 years old now. How old will Lucas be three years from now? ** Therefore, Lucas will be 5 + 3 = <<5+3=8>>8 years old three years from now. #### 8 Perry, Dana, Charlie, and Phil played golf together every week. At the end of the season, Perry had won five more games than Dana, but Charlie had won 2 games fewer than Dana. Phil had won 3 games more than Charlie did. If Phil won a total of 12 games, how many more games did Perry win than did Phil? How many games did Charlie win? ** If Phil had won 3 games more than did Charlie, and Phil won 12 games, then Charlie won 12-3=<<12-3=9>>9 games. How many games did Dana win? ** If Charlie had won 2 games fewer than Dana, and Charlie won 9 games, then Dana won 9+2=<<9+2=11>>11 games. How many games did Perry win? ** If Perry had won five more games than did Dana, and Dana won 11 games, then Perry won 11+5=<<11+5=16>>16 games. How many more games did Perry win than did Phil? ** Thus, Perry won 16-12=<<16-12=4>>4 more games than did Phil. #### 4 Jill spends time every day talking to her boyfriend on the phone. The first day of the week she spends 5 minutes on the phone with her boyfriend. Each of the following days she spends twice as much time talking on the phone as the day before. After the 5th day her parents take the phone away from her because she was on it too long. How much time did Jill spend talking to her boyfriend that week? How much time does Jill spend talking to her boyfriend on the first day? ** Jill starts off spending 5 minutes on the phone, and the following day she spends double that 5 minutes for 5*2=<<5+5=10>>10 minutes. How much time does Jill spend talking to her boyfriend on the second day? ** The following day Jill spends double the previous day's total of 10 minutes on the phone, for 10*2=<<10*2=20>>20 minutes. How much time does Jill spend talking to her boyfriend on the fourth day? ** On the fourth day, Jill spends double the previous day's total of 20 minutes on the phone, for 20*2=<<20*2=40>>40 minutes How much time does Jill spend talking to her boyfriend on the fifth day? ** On the fifth and final day, Jill spends double the previous day's total of 40 minutes on the phone, for 40*2=<<40*2=80>>80 minutes. How much time does Jill spend talking to her boyfriend that week? ** All told, Jill spends 5+10+20+40+80= <<5+10+20+40+80=155>>155 minutes on the phone over 5 days. #### 155 A printing press is printing brochures. The press prints 20 single-page spreads, and twice as many double-page spreads. For each 4 pages printed for the spreads, the press prints a block of 4 ads, each of which take up a quarter of a page. The brochures can be arranged in any order as long as they are made up of 5 pages each. How many brochures is the printing press creating? How many spreads are there? ** There are a total of 20 single-page spreads * 2 = <<20*2=40>>40 double-page spreads. How many pages are in the double-page spreads? ** As these are made up of 2 pages each, there are 40 double-page spreads * 2 pages = <<40*2=80>>80 pages in the double-page spreads. How many pages are in the spreads? ** In total, there are 20 single-pages + 80 double-pages = <<20+80=100>>100 pages in the spreads. How many blocks of ads are printed? ** A block of ads is printed every 4 pages, so there will be 100 pages / 4 pages/block = <<100/4=25>>25 blocks of ads. How many ads are printed? ** This is a total of 25 blocks * 4 ads = <<25*4=100>>100 ads. How many pages are added by the ads? ** As each ad takes up a quarter of a page, this must create an additional 100 ads * 0.25 = <<100*0.25=25>>25 pages. How many pages are printed? ** Therefore, the press has printed 100 pages from the spreads + 25 pages of ads = <<100+25=125>>125 pages. How many brochures are created? ** Since brochures are made up of 5 pages each, this creates a total of 125 pages / 5 = <<125/5=25>>25 brochures. #### 25 The difference in the number of pens that Alice and Clara each have matches their age difference. Alice has 60 pens and Clara has 2/5 times as many pens as Alice. If Alice's age is 20 and Clara is older than Alice, calculate Clara's age in 5 years to come. How many pens does Clara have? ** If Alice has 60 pens, Clara 2/5*60=<<24=24>>24 pens. How many pens does Alice have more than Clara? ** The number of pens that Alice has more than Clara is 60-24=<<60-24=36>>36 How old is Clara? ** Since Alice is 20, and the number of pens that Alice has more than Clara is their age difference, Clara is 20+36=<<20+36=56>>56 years old. How old will Clara be in five years? ** In five years, Clara's age will be 56+5=<<56+5=61>>61 years. #### 61 Tim used to run 3 times a week but decided to add an extra 2 days a week. She runs 1 hour in the morning and 1 in the evening every day she runs. How many hours a week does she run now? How many times a week does Tim run now? ** He now runs 3+2=<<3+2=5>>5 times a week How many hours does Tim run each day? ** Each day he runs for 1+1=<<1+1=2>>2 hours How many hours does Tim run in a week? ** So he runs 2*5=<<2*5=10>>10 hours a week #### 10 David found $12 on the street. He then gave it to his friend Evan who has $1 and needed to buy a watch worth $20. How much does Evan still need? How much money does Evan have? ** The total amount Evan has is $1 + $12 = $<<1+12=13>>13. How much does Evan still need? ** So Evan still needs $20 - $13 = $<<20-13=7>>7. #### 7 When all her clothes are washed and in her closet, Brie has 12 blouses, 6 skirts, and 8 slacks. Today in her hamper, she has 75% of her blouses, 50% of her skirts, and 25% of her slacks. How many pieces of clothing will she need to put in the washer? How many blouses does Brie have in her hamper? ** In her hamper, Brie has 12 x 75% = <<12*75*.01=9>>9 blouses. How many skirts does Brie have in her hamper? ** In her hamper, she has 6 x 50% = <<6*50*.01=3>>3 skirts. How many slacks does Brie have in her hamper? ** In the hamper, she has 8 x 25% = <<8*25*.01=2>>2 slacks. How many pieces of clothing will Brie need to put in the washer? ** She will need to wash 9 + 3 + 2 = <<9+3+2=14>>14 pieces of clothes. #### 14 Sharon wants to get kitchen supplies. She admired Angela's kitchen supplies which consist of 20 pots, 6 more than three times as many plates as the pots, and half as many cutlery as the plates. Sharon wants to buy half as many pots as Angela, 20 less than three times as many plates as Angela, and twice as much cutlery as Angela. What is the total number of kitchen supplies Sharon wants to buy? How many plates does Angela have? ** Angela has 6+3*20=<<6+3*20=66>>66 plates. How many cutlery does Angela have? ** Angela has 1/2*66=<<1/2*66=33>>33 cutlery. How many pots does Sharon want to buy? ** Sharon wants to buy 1/2*20=<<1/2*20=10>>10 pots. How many plates does Sharon want to buy? ** Sharon wants to buy 3*66-20=<<3*66-20=178>>178 plates. How many cutlery does Sharon want to buy? ** Sharon wants to buy 2*33= <<2*33=66>>66 cutlery. What is the total number of kitchen supplies Sharon wants to buy? ** Sharon wants to buy a total of 10+178+66=<<10+178+66=254>>254 kitchen supplies. #### 254 Mike is building a bridge out of LEGO blocks. To be successful he needs at least 40 bricks of type A, and half that many of type B. In total, he needs to use 150 bricks. How many bricks of other types than mentioned is he going to use? How many blocks of type B is Mike using? ** Mike is using 40 blocks / 2 = <<40/2=20>>20 blocks of type B. How many blocks of type A and B does Mike use? ** He uses in total 40 blocks + 20 blocks = <<40+20=60>>60 blocks of type A and B. How many blocks of other types than mentioned is he going to use? ** So he is going to use 150 blocks - 60 blocks = <<150-60=90>>90 blocks of other types. #### 90