Lizzy's mother gave her 80 cents and her father gave her 40 cents for keeping to her promise. She went to her uncle's and spent 50 cents buying candy for her little cousin. Her uncle gave her another 70 cents. How many cents does she have now?

How many cents did Lizzy's mother and father give her? ** She got 80+40 =

<<80+40=120>>120 cents from her mother and father How many cents did Lizzy spend? ** She spent 50 cents on candy leaving 120-50 = <<120-50=70>>70 cents How many cents did Lizzy's uncle give her? ** Her uncle gave her an additional 70 cents for a total of 70+70 = <<70+70=140>>140 cents #### 140 Jenny is planning her catering budget for her wedding. She's going to have 80 guests. 3 times as many guests want steak as chicken. If each steak entree costs $25 and each chicken entree costs $18, how much is the total catering budget? How many guests want steak? ** Let s be the number of guests who want steak and c be the number who want chicken. We know that s + c = 80 and s = 3c. How many guests want chicken? ** Substituting the second equation into the first equation, we get 3c + c = 80 How many guests want chicken? ** Combining like terms, we get 4c = 80 How many guests want chicken? ** Dividing both sides by 4, we get c = 20 How much is the total catering budget? ** Then multiply the number of guests who want chicken by the cost of each chicken entree: 20 guests * $18/guest = $<<20*18=360>>360 How many guests want steak? ** Then triple the number of guests who want chicken to find the number who want steak: 20 guests * 3 = <<20*3=60>>60 guests How much is the total catering budget? ** Then multiply the number of guests who want steak by the cost of each steak entree: 60 guests * $25/guest = $<<60*25=1500>>1500 How much is the total catering budget? ** Then add the cost of the steak and chicken entrees to find the total cost: $1500 + $360 = $<<1500+360=1860>>1860 #### 1860 Carter can read half as many pages as Lucy in 1 hour. Lucy can read 20 more pages than Oliver in 1 hour. Oliver can read 40 pages. How many pages can Carter read in 1 hour? How many pages can Lucy read in 1 hour? ** Lucy can read 20 more pages than Oliver who can read 40 pages so Lucy can read 40+20 = <<20+40=60>>60 pages How many pages can Carter read in 1 hour? ** Carter can read half as many pages as Lucy who can read 60 pages so he can read 60/2 = <<30=30>>30 pages in 1 hour #### 30 At Sunshine Orchard, there are 12 more than three times the number of pumpkins at Moonglow Orchard. If Moonglow Orchard has 14 pumpkins how many are there at Sunshine Orchard? How many pumpkins are there at Moonglow Orchard? ** Three times the number of pumpkins at Moonglow Orchard is 14*3= <<14*3=42>>42 How many pumpkins are there at Sunshine Orchard? ** Sunshine Orchard has 12+42= <<12+42=54>>54 pumpkins #### 54 Annie has some money. The restaurant next door sells hamburgers for $4 each. The restaurant across the street sells milkshakes for $5 each. Annie buys 8 hamburgers and 6 milkshakes. She has $70 left. How much money, in dollars, did Annie have at first? How much money does Annie spend on hamburgers? ** Annie spends 4*8=<<4*8=32>>32 dollars on hamburgers. How much money does Annie spend on milkshakes? ** Annie spends 5*6=<<5*6=30>>30 dollars on milkshakes. How much money does Annie spend on hamburgers and milkshakes? ** Annie spends 32+30=<<32+30=62>>62 dollars on hamburgers and milkshakes. How much money did Annie have at first? ** Annie had 62+70=<<62+70=132>>132 dollars at first. #### 132 Joanna and Jacques had 40 and 60 gumballs, respectively, in their dishes. They then purchased 4 times the number of gumballs they had initially and added these to their dishes. If they decided to put together their gumballs and shared them equally, how many gumballs did each get? How many gumballs did Joanna purchase? ** When Joanna purchased 4 times the number of gumballs she initially had, she added 40*4 = <<4*40=160>>160 gumballs to her dish. How many gumballs did Joanna have after buying 160 more? ** The total number of gumballs Joanna had in her dish after buying 160 more is 160+40 = <<160+40=200>>200 How many gumballs did Jacques purchase? ** At the same time, Jacques bought 60*4 = <<60*4=240>>240 new gumballs. How many gumballs did Jacques add? ** When Jacques added his new 240 gumballs to his dish, the total number of gumballs increased to 240+60 = <<240+60=300>>300 gumballs. How many gumballs did they have altogether? ** When they decided to put together their gumballs, they had 300+200 = <<300+200=500>>500 gumballs altogether. How many gumballs did each person get? ** After sharing equally, each person got 500/2 = <<500/2=250>>250 gumballs. #### 250 Prudence was starting a cupcake business. She figured that each cupcake cost $0.75 to make. The first 2 dozen that she made burnt and she had to throw them out. The next 2 came out perfectly and she ended up eating 5 cupcakes right away. Later that day she made 2 more dozen cupcakes and decided to eat 4 more. If she sells the remaining cupcakes at $2.00 each, how much is her net profit? How many cupcakes did Prudence make? ** She burnt 2 dozen, cooked 2 dozen and then another 2 dozen that evening. So she made 2+2+2 =<<2+2+2=6>>6 dozen cupcakes How many cupcakes did Prudence make? ** Each dozen makes 12 cupcakes, so she made 6*12= <<6*12=72>>72 cupcakes How many cupcakes did Prudence throw away? ** She threw away 2 dozen cupcakes, so 2*12 = <<2*12=24>>24 cupcakes How many cupcakes did Prudence have left? ** She made 72, threw away 24, ate 5 and then ate another 4 so she had 72-24-5-4 = <<72-24-5-4=39>>39 cupcakes left How much did Prudence earn? ** She sells the 39 cupcakes at $2.00 each so she earned 39*2 = $<<39*2=78.00>>78.00 How much did Prudence make? ** She made 72 cupcakes at a cost of $0.75 each for a total cost of 72*$0.75 = $<<72*0.75=54.00>>54.00 How much is Prudence's net profit? ** If she made $78 on the remaining cupcakes and it cost her $54.00 to make all of the cupcakes then her profit is $78-$54 = $<<78-54=24.00>>24.00 #### 24 Gina is figuring out how much she'll have to spend on college this year. She's taking 14 credits that cost $450 each, and she has to pay $120 for each of her 5 textbooks plus a $200 facilities fee. How much will Gina spend in total? How much will Gina pay for tuition? ** First, find out how much will Gina pay for tuition by multiplying her number of credits by the cost per credit: 14 * 450 = $<<14*450=6300>>6300. How much will Gina pay for textbooks? ** Then find out how much she pays for textbooks by multiplying the number of books by the cost per book: 5 * 120 = $<<5*120=600>>600. How much will Gina spend in total? ** Finally, add up all Gina's costs to find the total of 6300 + 600 + 200 = $<<6300+600+200=7100>>7100. #### 7100 A portable computer drive has enough kilobytes of storage space to store 2000 photos. Each photo is 1.5 kilobytes in size. How many 200-kilobyte videos can it store if it already has 400 photos on it? How many kilobytes of storage space does the drive have? ** The drive has 1.5 * 2000 = <<1.5*2000=3000>>3000 kilobytes of storage space. How many kilobytes of storage space does the drive already have? ** It already has 1.5 * 400 = <<1.5*400=600>>600 kilobytes of storage space taken up. How many kilobytes of space does the drive have left? ** Thus, it has 3000 - 600 = <<3000-600=2400>>2400 kilobytes of space left. How many 200-kilobyte videos can it store if it already has 400 photos on it? ** The portable drive can store 2400 / 200 = <<2400/200=12>>12 200-kilobyte videos on it with 400 photos. #### 12 Ivy baked 20 cupcakes in the morning and fifteen more cupcakes in the afternoon than in the morning. How many cupcakes did she bake? How many more cupcakes did she bake in the afternoon than in the morning? ** In the afternoon, she baked 20 + 15 = <<20+15=35>>35 cupcakes more cupcakes. How many cupcakes did she bake? ** Therefore, she baked a total of 20 + 35 = <<20+35=55>>55 cupcakes. #### 55