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?

How many rehabilitation centers did Jude visit? ** Jude visited 1/2*6=

<<1/2*6=3>>3 rehabilitation centers. How many rehabilitation centers did Han visit? ** Han visited 2*3-2=<<2*3-2=4>>4 rehabilitation centers. How many rehabilitation centers did Jane visit? ** Jane visited 6+2*4=<<6+2*4=14>>14 rehabilitation centers. How many rehabilitation centers did they all visit? ** 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? How many dolls does Ivy have? ** Ivy has 60/2=<<60/2=30>>30 dolls. How many collectors edition dolls does Ivy have? ** 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? How long is the string? ** 15 feet of string is 15*12=<<15*12=180>>180 inches long. How long are the pair of wicks? ** 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. How many pairs of wicks can she cut? ** Thus, in 180 inches of string, she can cut 180/18=<<180/18=10>>10 pairs of wicks. How many wicks are there in total? ** 10 pairs of wicks are a total of 10*2=<<10*2=20>>20 wicks #### 20 Emir wants to buy a dictionary that costs $5, a dinosaur book that costs $11, and a children's cookbook that costs $5. He has saved $19 from his allowance. How much more money does Emir need to buy all three books? How much do the three books cost in total? ** The total cost of the dictionary, the dinosaur book, and the cookbook is $5 + $11 + $5 = $<<5+11+5=21>>21. How much more money does Emir need to buy all three books? ** Emir needs $21 − $19 = $2. #### 2 James made $4000 in January. The next month he made twice as much. In March, however, James made $2000 less than in February. How much has James made so far this year? How much did James make in February? ** In February James made 4000 * 2 = <<4000*2=8000>>8000. How much did James make in March? ** In March James made 8000-2000 = <<8000-2000=6000>>6000. How much has James made so far this year? ** In total for the year James has made 4000 + 8000 + 6000 = $<<4000+8000+6000=18000>>18000. #### 18000 Marissa is serving her kids lunch. Each kid gets a burger with 400 calories and 5 carrot sticks with 20 calories each, and some cookies with 50 calories each. Marissa wants each kid to eat a total of 750 calories for lunch. How many cookies does each kid get? How many calories are in the carrots? ** First figure out how many total calories come from the carrots by multiplying the calories per carrot by the number of carrots: 20 calories/carrot * 5 carrots = <<20*5=100>>100 calories How many more calories do the kids need? ** Then subtract the calories the kids have already eaten from the goal number of calories to find out how many more total calories they should eat: 750 calories - 400 calories - 100 calories = <<750-400-100=250>>250 calories How many cookies does each kid get? ** Then divide the total number of calories by the calories per cookie to find the number of cookies each kid gets: 250 calories / 50 calories/cookie = <<250/50=5>>5 cookies #### 5 Anna has 3 times as many toys as Mandy and 2 fewer toys than Amanda. If they have 142 toys all together, how many toys does Mandy have? Define a variable ** Let x be the number of toys Mandy has. How many toys does Anna have? ** Anna has 3*x toys. How many toys does Amanda have? ** Amanda has 3*x+2 toys. Write an equation ** x+3*x+3*x+2=142 Simplify ** 7*x+2=142 Simplify ** 7*x=140 Simplify ** x=<<20=20>>20 #### 20 Andrew bought 750 stickers. He shared some of his stickers with his friends, Daniel and Fred. Daniel received 250 stickers, while Fred received 120 more stickers than Daniel. He kept the remaining stickers. How many stickers did Andrew keep? How many stickers did Fred receive? ** Fred received 250 + 120 = <<250+120=370>>370 stickers. How many stickers did Andrew share? ** Thus, Andrew shared 250 + 370 = <<250+370=620>>620 stickers. How many stickers did Andrew keep? ** Therefore, Andrew kept 750 - 620 = <<750-620=130>>130 stickers. #### 130 John adopts a dog from a shelter. The dog ends up having health problems and this requires 3 vet appointments, which cost $400 each. After the first appointment, John paid $100 for pet insurance that covers 80% of the subsequent visits. How much did he pay in total? How much did John pay for the first vet appointment? ** He got a discount of 400*.8=$<<400*.8=320>>320 How many visits did John get? ** He got that discount for 3-1=<<3-1=2>>2 visits How much did each of the subsequent visits cost? ** So each of those visits cost 400-320=$<<400-320=80>>80 How much did John pay in total? ** So he paid 2*80=$<<2*80=160>>160 for those visits How much did John pay in total? ** That means he paid a total of 400+160+100=$<<400+160+100=660>>660 #### 660 Jessica’s class is going to a farm for a field trip. The school will bring all 35 students in the class plus 4 adult chaperones. The farm entrance fee for students costs $5 and $6 for adults. How much will the school pay for the farm entrance in all? How much does the school pay for the students' entrance fee? ** The students' entrance fee cost $5 x 35 = $<<5*35=175>>175. How much does the school pay for the adults' entrance fee? ** The adults' entrance fee cost $6 x 4 = $<<6*4=24>>24. How much will the school pay for the farm entrance in all? ** Therefore, the school will pay a total of $175 + $24 = $<<175+24=199>>199 for the farm entrance. #### 199