When Diane turns 30, she will be half the age of Alex and twice as old as Allison. Diane is 16 years old now. What is the sum of the ages of Alex and Allison now?

When Dianne turns 30, Alex will be 30 x 2 =

<<30*2=60>>60 years old. Allison will be 30/2 = <<30/2=15>>15 years old then. Dianne will turn 30 in 30 - 16 = <<30-16=14>>14 years. Currently, the age of Alex is 60 - 14 = <<60-14=46>>46. Currently, Allison is 15 - 14 = <<15-14=1>>1 year old. So, the sum of Alex and Allison's ages now is 46 + 1 = <<46+1=47>>47 years old. #### 47 Three friends Wolfgang, Ludo, and Michael, went to Walmart and bought marbles. Wolfgang bought 16 marbles, Ludo bought 1/4 times more marbles than Wolfgang, and Michael bought 2/3 times as many marbles as the number of marbles both Wolfgang and Ludo bought. If they combined their marbles and decided to share them equally, how many marbles did each get? Ludo bought 1/4 more marbles than Wolfgang, which is 1/4 * 16 marbles = <<1/4*16=4>>4 marbles The total number of marbles that Ludo bought is 16 marbles + 4 marbles = <<16+4=20>>20 marbles Wolfgang and Ludo purchased a total of 20 marbles + 16 marbles = <<20+16=36>>36 marbles. If Michael bought 2/3 times the total number of marbles bought by Wolfgang and Ludo, he bought 2/3 * 36 marbles = <<2/3*36=24>>24 marbles. The three friends purchased a total of 24 marbles + 36 marbles = <<24+36=60>>60 marbles. When they shared the marbles equally, each got 60 marbles / 3 people = <<60/3=20>>20 marbles/person. #### 20 Aston has accidentally torn apart his comics and needs to put all the pages back together. Each comic has 25 pages and Aston has found 150 pages on the floor. He puts his comics back together and adds them back into his box of comics. If there were already 5 untorn comics in the box, how many comics are now in the box of comics? Aston had torn and has now fixed a total of 150 pages on the floor / 25 pages per comic = <<150/25=6>>6 comics. Adding this to the comics that were never torn means there are 6 fixed comics + 5 untorn comics = <<6+5=11>>11 comics in the box of comics. #### 11 A king gets a crown made that costs $20,000. He tips the person 10%. How much did the king pay after the tip? The tip was 20000*.1=$<<20000*.1=2000>>2000 So the total cost was 2000+20000=$<<2000+20000=22000>>22000 #### 22000 The Grey's bought several chickens at a sale. John took 5 more of the chickens than Mary took. Ray took 6 chickens less than Mary. If Ray took 10 chickens, how many more chickens did John take than Ray? Mary took 10+6 = <<10+6=16>>16 chickens. John took 16+5 = <<16+5=21>>21 chickens John took 21-10 = <<21-10=11>>11 more chickens than Ray. #### 11 In a day, Sam hunts 6 animals. Rob hunts half as many animals as Sam. Mark hunts 1/3 of the total of what Rob and Sam hunt. If Peter hunts 3 times as many animals as Mark does, how many animals do they all hunt in a day? Rob hunts 1/2 * 6 animals/day = <<1/2*6=3>>3 animals/day. Rob and Sam hunt 3 animals/day + 6 animals/day = <<3+6=9>>9 animals/day. Mark hunts 1/3 * 9 animals/day = <<1/3*9=3>>3 animals in a day. Peter hunts 3 * 3 animals/day = <<3*3=9>>9 animals in a day. The total they all hunt in a day is 6 animals/day + 3 animals/day + 3 animals/day + 9 animals/day = <<6+3+3+9=21>>21 animals. #### 21 Mabel planted 4 tomato plants. One tomato plant bore 8 tomatoes and another bore 4 more tomatoes than the first. The two remaining plants each bore three times the number of tomatoes as the first two plants combined. How many tomatoes does Mabel have? The second tomato plant bore 8 + 4 = <<8+4=12>>12 fruit. The first two plants bore 8 + 12 = <<8+12=20>>20 fruit combined. Each of the other two plants bore 20 x 3 = <<20*3=60>>60 fruit. Mabel has 8 + 12 + 60 + 60 = <<8+12+60+60=140>>140 tomatoes #### 140 Patricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard, 145 seconds of the shooting guard, 85 seconds of the small forward, 60 seconds of the power forward, and 180 seconds of the center. How on average, how many minutes does each player get? The total movie is 600 seconds long because 130 + 145 + 85 + 60 + 180 = <<130+145+85+60+180=600>>600 The total movie is 10 minutes long because 600 / 60 = <<600/60=10>>10 On average each player gets 2 minutes because 10 / 5 = <<10/5=2>>2 #### 2 Albert has to run 99 meters in gym class. The track is 9 meters around. He has already run 6 times around it. Once he finishes, how many more complete laps will he have made around the track? Albert has to run 11 laps in total because 99 / 9 = <<99/9=11>>11 He has 5 more complete laps to run because 11 - 6 = <<11-6=5>>5 #### 5 Courtney liked to collect marbles. She kept them in mason jars. One jar had 80 marbles. Her second jar had twice that amount. She just started her third jar which currently has 1/4 the amount of her first jar. How many marbles does she have in total? One jar had 80 and the second jar had twice that amount so 2*80 = 160 marbles The third jar had 1/4 of the first jar's 80 marbles so it had .25*80 = <<1/4*80=20>>20 marbles When you add up all the jars, she had 80+160+20 = <<80+160+20=260>>260 marbles #### 260