The number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did Ellis get than Orion?

The number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did Ellis get than Orion?

How many cards are there in total? ** The total ratio representing the 500 cards is 11+9 =

<<11+9=20>>20 How many cards did Ellis get? ** The fraction of the total ratio that represents the number of cards that Ellis got is 11/20, and since there were 500 cards, Ellis got 11/20*500 = <<11/20*500=275>>275 How many cards did Orion get? ** If there were 500 cards, and Ellis received 275 cards, Orion received 500-275 = <<500-275=225>>225 cards How many cards did Ellis get more than Orion? ** The number of cards that Ellis received more than Orion is 275-225 = <<275-225=50>>50 cards. #### 50 Mrs. Finley's class has 24 students, and Mr. Johnson's class has 10 more than half the number in Mrs. Finley's class. How many students are in Mr. Johnson's class? What is half the number of students in Mrs. Finley's class? ** Half the number in Mrs. Finley's class is 24/2=<<24/2=12>>12. How many students are in Mr. Johnson's class? ** Mr. Johnson has 12+10=<<12+10=22>>22 students. #### 22 Nick's cell phone was initially empty but was then charged for 45 minutes and has reached a 25% charge. How much longer must the cell phone be charged to reach 100% charge? How many minutes are in 100% charge? ** The ratio between the time charged and the time to be charged is 100 / 25 = <<100/25=4>>4. How many minutes are in 100% charge? ** To reach 100%, the cell must be charged for 45 minutes * 4 = <<45*4=180>>180 minutes. How many minutes are left? ** Subtracting the 45 minutes that Jimmy already used to charge the cell phone, there are still 180 - 45 =<<180-45=135>>135 minutes of charging time left. #### 135 Lucia is a dancer. She takes 2 hip-hop classes a week, 2 ballet classes a week, and 1 jazz class a week. One hip-hop class costs $10. One ballet class costs $12, and one jazz class costs $8. What is the total cost of Lucia’s dance classes in one week? How much do the hip-hop classes cost? ** The total cost of the hip-hop classes is 2 * $10 = $<<2*10=20>>20 How much do the ballet classes cost? ** The total cost of the ballet classes is 2 * $12 = $<<2*12=24>>24 How much does the jazz class cost? ** The total cost of the jazz class is 1 * $8 = $<<1*8=8>>8 What is the total cost of Lucia’s dance classes in one week? ** The total cost of all of Lucia’s dance classes in one week is $20 + $24 + $8 = $<<20+24+8=52>>52 #### 52 Josh went to the shopping center. He bought 9 films and 4 books. He also bought 6 CDs. Each film cost $5, each book cost $4 and each CD cost $3. How much did Josh spend in all? How much did the films cost? ** The cost of the films is 9 × $5 = $<<9*5=45>>45. How much did the books cost? ** The cost of the books is 4 × $4 = $<<4*4=16>>16. How much did the CDs cost? ** The cost of the CDs is 6 × $3 = $<<6*3=18>>18. How much did Josh spend in all? ** Josh spent $45 + $16 + $18 = $<<45+16+18=79>>79 in total. #### 79 Marnie makes bead bracelets. She bought 5 bags of 50 beads and 2 bags of 100 beads. If 50 beads are used to make one bracelet, how many bracelets will Marnie be able to make out of the beads she bought? How many beads did Marnie buy from the 5 bags of 50 beads? ** Marnie bought 50 x 5 = <<50*5=250>>250 beads from the 5 bags of 50 beads. How many beads did Marnie buy from the 2 bags of 100 beads? ** She also bought 100 x 2 = <<100*2=200>>200 beads from the 2 bags of 100 beads. How many beads does Marnie have? ** She has a total of 250 + 200 = <<250+200=450>>450 beads. How many bracelets will Marnie be able to make? ** Hence, she will be able to make 450/50 = <<450/50=9>>9 bracelets. #### 9 Danai is decorating her house for Halloween. She puts 12 plastic skulls all around the house. She has 4 broomsticks, 1 for each side of the front and back doors to the house. She puts up 12 spiderwebs around various areas of the house. Danai puts twice as many pumpkins around the house as she put spiderwebs. She also places a large cauldron on the dining room table. If Danai has the budget left to buy 20 more decorations and has 10 left to put up, how many decorations will she put up in all? How many decorations does Danai place? ** Danai places 12 skulls + 4 broomsticks + 12 spiderwebs + 1 cauldron = <<12+4+12+1=29>>29 decorations. How many pumpkins does Danai put up? ** She also puts up twice as many pumpkins around the house as she put spiderwebs, 12 x 2 = <<12*2=24>>24 pumpkins. How many decorations will Danai put up in all? ** Danai will also add 20 + 10 decorations to the 29 + 24 decorations already up = 83 total decorations Danai will put up. #### 83 Emilia needs 42 cartons of berries to make a berry cobbler. She already has 2 cartons of strawberries and 7 cartons of blueberries in her cupboard. She decides to go to the supermarket to get more cartons. How many more cartons of berries should Emilia buy? How many cartons of berries did Emilia have before going to the supermarket? ** She previously had 2 cartons + 7 cartons = <<2+7=9>>9 cartons of berries. How many cartons of berries does Emilia need to buy? ** Emilia needs to buy 42 cartons - 9 cartons = <<42-9=33>>33 cartons of berries. #### 33 The middle school sold 6 more than two times the number of fair tickets as it did tickets to the baseball game. If 25 fair tickets were sold, how many baseball game tickets did the school sell? How many fair tickets were sold? ** Two times the number of fair tickets is 25*2=<<25*2=50>>50 tickets How many baseball game tickets were sold? ** 50+6=<<50+6=56>>56 tickets #### 56 Conor can chop 12 eggplants, 9 carrots, and 8 potatoes in a day. If he works 4 times a week, how many vegetables can he chop? How many eggplants can Conor chop in a week? ** Conor can chop 12 x 4 = <<12*4=48>>48 eggplants a week. How many carrots can Conor chop in a week? ** He can chop 9 x 4 = <<9*4=36>>36 carrots a week. How many potatoes can Conor chop in a week? ** He can chop 8 x 4 = <<8*4=32>>32 potatoes a week. How many vegetables can Conor chop in a week? ** Therefore, Conor can chop 48 + 36 + 32 = <<48+36+32=116>>116 vegetables a week. #### 116