Damien collects glasses for a hobby and decides he wants to put them in display cupboards. His tall cupboard can hold 20 glasses, his wide cupboard can hold twice as many, and his narrow cupboard can hold 15 glasses with the glasses divided equally among the three shelves. As Damien is putting glasses in the narrow cupboard, he accidentally breaks one of the shelves. If all of the cupboards are full, how many glasses are currently being displayed?

The wide cupboard holds twice as many glasses as the tall cupboard, amounting to 20 * 2 =

<<20*2=40>>40 glasses. Each of the shelves in the narrow cupboard holds 15 / 3 = <<15/3=5>>5 glasses. Since a shelf was broken, a narrow cupboard now holds only 15 – 5 = <<15-5=10>>10 glasses. In total, there are 20 + 40 + 10 = <<20+40+10=70>>70 glasses. #### 70 In one week, Jake can eat 3 papayas, his brother can eat 5 papayas, and his father can eat 4 papayas. To account for 4 weeks, how many papayas does Jake need to buy from the farmer’s market? In one week, the 3 men can eat 3 + 5 + 4 = <<3+5+4=12>>12 papayas. For 4 weeks, Jake will need to buy 12 x 4 = <<12*4=48>>48 papayas. #### 48 Sunnyvale School was having a picnic. They wanted to make fruit punch. They had 4.5 liters of orange punch. They had twice as much cherry punch as orange punch and 1.5 liters less of apple juice than cherry punch. When they combined all of the fruit juices together, how many liters of fruit punch did they have? Orange = <<4.5=4.5>>4.5 L Cherry = 2 * 4.5 = <<2*4.5=9>>9 L Apple = 9 - 1.5 = <<9-1.5=7.5>>7.5 L Total punch = 4.5 + 9 + 7.5 = <<4.5+9+7.5=21>>21 L They had 21 liters of fruit punch for the picnic. #### 21 Adam had a farm with animals. He had 12 cows and twice as many sheep. He decided to buy 3 pigs for every sheep he had. How many animals were on the farm after the transaction? Adam had twice as many sheep as the cows, so 2 sheep/cow * 12 cows = <<2*12=24>>24 sheep. For every sheep, he bought 3 pigs, so he bought 3 pigs/sheep * 24 sheep = <<3*24=72>>72 pigs. In total on the farm, there were 72 pigs + 24 sheep + 12 cows = <<72+24+12=108>>108 animals. #### 108 John plays paintball 3 times a month. Each time he plays he buys 3 boxes of paintballs. They cost $25 per box. How much does he spend a month on paintballs? He spends 3*25=$<<3*25=75>>75 each time he plays So he spends 75*3=$<<75*3=225>>225 #### 225 Xavier plays football with his friends. During 15 minutes Xavier can score 2 goals on average. How many goals on average is Xavier able to score, when the match lasted for 2 hours? Two hours means 2 * 60 = <<2*60=120>>120 minutes. So in 2 hours, there are with 120 / 15 = <<120/15=8>>8 groups of 15 minutes. So on average Xavier can score 8 * 2 = <<8*2=16>>16 goals. #### 16 Henry scored 50 points on his Geography test, 70 on his Math test and 66 on his English test. If his History score is the average of these 3 scores, what was his total score across all 4 subjects? The sum of his scores across the first 3 subjects is 50+70+66 = <<50+70+66=186>>186 The average score over the 3 subjects which is his History score is = total/3 = 186/3 = <<186/3=62>>62 Therefore his score across all 4 subjects = 186+62 = <<186+62=248>>248 #### 248 When Jane visited Iran, she visited 6 more than twice as many rehabilitation centers as Han. Han visited 2 less than twice as many rehabilitation centers as Jude did. Jude visited half fewer rehabilitation centers as Lisa did. If Lisa visited 6 rehabilitation centers, how many rehabilitation centers did they all visit assuming they are all different? Jude visited 1/2*6=<<1/2*6=3>>3 rehabilitation centers. Han visited 2*3-2=<<2*3-2=4>>4 rehabilitation centers. Jane visited 6+2*4=<<6+2*4=14>>14 rehabilitation centers. They all visited 6+3+4+14=<<6+3+4+14=27>>27 rehabilitation centers. #### 27 Dina has 60 dolls. She has twice as many dolls as Ivy. 2/3 of Ivy's dolls are collectors editions. How many collectors edition dolls does Ivy have? Ivy has 60/2=<<60/2=30>>30 dolls. Ivy has 30/3*2=<<30/3*2=20>>20 collectors edition dolls. #### 20 Amy bought a 15-foot spool of string to cut up into wicks for making candles. If she cuts up the entire string into an equal number of 6-inch and 12-inch wicks, what is the total number of wicks she will have cut? 15 feet of string is 15*12=<<15*12=180>>180 inches long. If for every 6-inch wick she also cuts a 12-inch wick, then the pair of wicks are 6+12=<<6+12=18>>18 inches long. Thus, in 180 inches of string, she can cut 180/18=<<180/18=10>>10 pairs of wicks. 10 pairs of wicks are a total of 10*2=<<10*2=20>>20 wicks #### 20