Alden's family invited their relatives for a family reunion on Christmas eve. There were 50 more female adults than male adults, and children were twice the total number of adults. If there were 100 male adults, how many people attended the family reunion?

How many females were there? ** If the number of female adults was 50 more than the males, then there were 100+50 =

<<100+50=150>>150 females. How many adults were there? ** The total number of adults is 150+100 = <<150+100=250>>250 How many children were there? ** The children were twice the total number of adults, thus 2*250 = <<2*250=500>>500 How many people attended the family reunion? ** The total number of people at the family reunion is 500+250 = <<500+250=750>>750 #### 750 Jill and Bob want to finally buy a house for themselves, so they went with a real estate agent to see some houses before making a decision. The first house was not too far from their work and the price was accessible. The second house was really big and Jill loved it but was twice as expensive as the first one and was way over their budget. They ended up buying the first one, knowing that the price of both houses altogether is $600,000. How much did Jill and Bob end up paying for their new house? Define a variable ** Let C be the cost of the first house How much is the second house? ** The cost of the second house is 2C Write an equation ** The cost of the two houses together is C + 2C = $600,000 Simplify ** 3C=$600,000 Divide by 3 ** C=$600,000 / 3 = $<<600000/3=200000>>200,000 #### 200,000 If Janet reads 80 pages a day and Belinda reads 30 pages a day, how many more pages does Janet read in 6 weeks? How many days are in 6 weeks? ** First find the total number of days in 6 weeks: 6 weeks * 7 days/week = <<6*7=42>>42 days How many pages does Janet read each day? ** Then find the total difference in the number of pages Janet and Belinda read each day: 80 pages/day - 30 pages/day = <<80-30=50>>50 pages/day How many pages does Janet read in 6 weeks? ** Then multiply the daily difference by the number of days to find the total difference in the number of pages they read: 50 pages/day * 42 days = <<50*42=2100>>2100 pages #### 2100 A movie that's 1.5 hours long is being replayed 6 times in one movie theater each day. There is a 20-minute advertisement before the start of the movie. How long, in hours, does the movie theater operate each day? How many hours does the movie take? ** The movie that is being replayed 6 times takes 1.5 x 6 = <<6*1.5=9>>9 hours. How many minutes are in the advertisements? ** The advertisements before the start of the movie take 20 x 6 = <<20*6=120>>120 minutes in all. How many hours are in the advertisements? ** One hundred twenty minutes is equal to 120/60 = <<120/60=2>>2 hours. How many hours does the movie theater operate each day? ** Thus, the movie theater operates for 9 + 2 = <<9+2=11>>11 hours each day. #### 11 Two-thirds of all the animals on my street are cats and the rest are dogs. If there are 300 animals on the street, what's the total number of legs of dogs that are on the street? How many cats are on the street? ** The number of cats on the street is 2/3*300 = <<2/3*300=200>>200 How many dogs are on the street? ** If there are 300 animals on the street, and 200 are cats, there are 300-200 = <<300-200=100>>100 dogs. How many legs do the 100 dogs have? ** Since a dog has four legs, the total number of legs the 100 dogs have is 100*4 = <<100*4=400>>400 legs. #### 400 Jason bought 4 dozen cupcakes. He plans to give 3 cupcakes each to his cousins. How many cousins does Jason have? How many cupcakes did Jason buy? ** Since a dozen is equal to 12, then Jason bought 12 x 4 = <<12*4=48>>48 cupcakes. How many cousins does Jason have? ** So, Jason has 48/3 = <<48/3=16>>16 cousins. #### 16 Edmonton is 220 kilometers north of Red Deer. Calgary is 110 kilometers south of Red Deer. If you travel at 110 kilometers per hour, how long will it take to get from Edmonton to Calgary? How far is Edmonton from Calgary? ** Total distance travelled is 220km + 110km = <<220+110=330>>330 km. How long will it take to travel from Edmonton to Calgary? ** Time to travel that far is 330km / 110km/hour = <<330/110=3>>3 hours. #### 3 In 5 years, Raven will be 4 times as old as Phoebe. If Phoebe is currently 10 years old, how old is Raven? How old will Phoebe be in 5 years? ** In five years, Phoebe will be 10+5 = <<10+5=15>>15 years old. How old will Raven be in 5 years? ** If Raven is four times as old as Phoebe in fifteen years, he will be 4*15 = <<4*15=60>>60 years old in 5 years. How old is Raven currently? ** Currently, Raven is 60-5 = <<60-5=55>>55 years old. #### 55 Linda's bag has 2 dimes, 6 quarters, and 5 nickels. Her mother gives her 2 more dimes, 10 quarters, and twice as many nickels as she has. How many coins does she have altogether? How many dimes did Linda's mother give her? ** When Linda's mother gave her 2 more dimes, the total number of dimes increased to 2+2 = <<2+2=4>>4 dimes. How many quarters did Linda's mother give her? ** She also increased the total number of quarters to 6+10 = <<6+10=16>>16 after her mother gave her 10 more. How many coins does Linda have altogether? ** The total number of dimes and quarters she has is 16+4 = <<16+4=20>>20 How many nickels did Linda's mother give her? ** Linda's mother also gave her twice as many nickels as she has, a total of 2*5 = <<2*5=10>>10 nickels. How many nickels does Linda have altogether? ** The total number of nickels she has increased to 10+5 = <<10+5=15>>15 How many coins does Linda have altogether? ** Altogether, Linda has 20+15= <<20+15=35>>35 coins. #### 35 Carolyn wants to embroider her new jeans. She can sew 4 stitches/minute. A flower takes 60 stitches to embroider, a unicorn takes 180 stitches, and Godzilla takes 800 stitches. If Carolyn wants to embroider Godzilla crushing 3 unicorns and 50 flowers, how many minutes does she need to spend embroidering? How many stitches are in the flowers? ** First find the total stitches in all the flowers by multiplying the number of stitches per flower by the number of flowers: 50 flowers * 60 stitches/flower = <<50*60=3000>>3000 stitches How many stitches are in the unicorns? ** Then do the same for the total number of stitches in the unicorns: 3 unicorns * 180 stitches/unicorn = <<3*180=540>>540 stitches How many stitches are in the total? ** Then add the number of stitches for all the flowers, unicorns, and Godzilla to find the total number of stitches: 800 stitches + 540 stitches + 3000 stitches = <<800+540+3000=4340>>4340 stitches How many minutes does Carolyn spend embroidering? ** Finally, divide the total number of stitches by the number of stitches Carolyn can make per hour to find how many hours she spends embroidering: 4340 stitches / 4 stitches/minute = <<4340/4=1085>>1085 minutes #### 1085