At camp Wonka, there are 96 campers. Two-thirds of the campers are boys, and the remaining one-third are girls. 50% of the boys want to toast marshmallows and 75% of the girls want to toast marshmallows. If each camper gets one marshmallow to toast, how many marshmallows do they need?

The girls make up one-third of the campers, so there are 96 /3 =

<<96/3=32>>32 girls. The boys make up two-thirds of the campers, so there are 32 + 32 = <<32+32=64>>64 boys. There are 32 x 75% = <<32*75*.01=24>>24 girls who want to toast marshmallows. There are 64 x 50% = <<64*50*.01=32>>32 boys who want to toast marshmallows. They need 24 + 32 = <<24+32=56>>56 marshmallows. #### 56 A factory decides to stop making cars and start making motorcycles instead. When it made cars, per month, it cost $100 for materials, they could make 4 cars, and they sold each car for $50. Now that they make motorcycles it costs $250 for materials, but they sell 8 of them for $50 each. How much more profit do they make per month selling motorcycles instead of cars? They sold $200 worth of cars each month because 4 x 50 = <<4*50=200>>200 They made $100 a month off cars because 200 - 100 = <<200-100=100>>100 They sold $400 worth of motorcycles each month because 8 x 50 = <<8*50=400>>400 They make $150 a month off motorcycles because 400 - 250 = <<400-250=150>>150 They make $50 more a month off motorcycles than cars because 150 - 100 = <<150-100=50>>50 #### 50 Gwen received a $900 bonus at work and decided to invest this money in the stock market. She spent one-third of her bonus on stock A, one-third on stock B, and the remaining one-third on stock C. After one year, stock A and stock B had doubled in value, while stock C had lost half of its value. At the end of the year, how much were Gwen's stocks worth, in dollars? One-third of her bonus was $900/3 = $<<900/3=300>>300. After one year, stock A doubled in value and was worth $300*2 = $<<300*2=600>>600. After one year, stock B doubled in value and was worth $300*2 = $<<300*2=600>>600. After one year, stock C had lost half its value and was worth $300/2 = $<<300/2=150>>150. Altogether, at the end of the year, Gwen's stocks were worth $600+$600+$150 = $<<600+600+150=1350>>1350 #### 1350 James and John combine their friends lists. James has 75 friends. John has 3 times as many friends as James. They share 25 friends. How many people are on the combined list? John has 75*3=<<75*3=225>>225 people on his friends list So that means there are 225+75=<<225+75=300>>300 people on the list So once you remove duplicates there are 300-25=<<300-25=275>>275 people #### 275 It takes Jennifer 20 minutes to groom each of her 2 long hair dachshunds. If she grooms her dogs every day, how many hours does she spend grooming her dogs in 30 days? She has 2 dogs and it takes 20 minutes to groom just 1 dog so it takes her 2*20 = <<2*20=40>>40 minutes per day to groom 2 dogs In 30 days, she will have spent 30*40 = <<30*40=1200>>1,200 minutes grooming her dogs There are 60 minutes in an hour so she spends 1200/60 = <<1200/60=20>>20 hours grooming her dogs #### 20 Jim decides to open up a bike shop. The most common repair he does is fixing bike tires. He charges $20 for this and it cost him $5 in parts. In one month Jim does 300 of these repairs. He also does 2 more complex repairs for $300 each and cost $50 in parts. He also sells $2000 profit worth of things from his retail shop. If rent and other fixed expense for the shop is $4000 a month how much profit did the shop make? From each tire repair, he made 20-5=$<<20-5=15>>15 profit So repairs made him a profit of 15*300=$<<15*300=4500>>4500 The two complex repairs each made him 300-50=$<<300-50=250>>250 profit So those added 250*2=$<<250*2=500>>500 So his total profit from everything was 4500+500+2000=$<<4500+500+2000=7000>>7000 So he made a profit of 7000-4000=$<<7000-4000=3000>>3000 #### 3000 Mary went to the store to buy fruit. Apples cost $1, oranges cost $2, and bananas cost $3. For every 5 fruits that customers buy, the store offers a $1 discount. Mary buys 5 apples, 3 oranges, and 2 bananas. How much will she pay? For 5 apples, Mary will pay 5*1= <<5*1=5>>5 dollars. For 3 oranges, she will pay 3*2= <<3*2=6>>6 dollars. For 2 bananas, she will pay 2*3 = <<2*3=6>>6 dollars. She bought 5+3+2=<<5+3+2=10>>10 fruits For 10 fruits, Mary gets a discount of 10/5 = <<10/5=2>>2 dollars. In total, the bill is 5 + 6 + 6 = <<5+6+6=17>>17 dollars. Subtracting the discount offered by the stores, Mary will pay 17 - 2 = <<17-2=15>>15 dollars. #### 15 Mark deposited $88 in a bank. Bryan deposited $40 less than five times as much as Mark. How much did Mark deposit in the bank? Five times the amount Mark deposited is $88 x 5 = $<<88*5=440>>440. So, Mark deposited $440 - $40 = $<<440-40=400>>400. #### 400 Polly and Gerald went for a fun afternoon riding mini race cars at the munchkin track, which is a one-quarter mile circular track. Polly managed to circle the track 12 times in one half hour, but Gerald's car was malfunctioning, and he only moved at an average speed half of what Polly did. What speed did Gerald's car average, in miles per hour? Polly circled the one-quarter mile track 12 times in 0.5 hours at a speed of 12/0.5=24 circuits of the track per hour. 24/4 = <<24/4=6>>6 miles per hour Gerald traveled at a speed half of what Polly traveled for an average speed of 6/2=<<6/2=3>>3 miles per hour. #### 3 Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally? Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount. 25% of the original amount = (25/100)*original amount = $125 Multiplying both sides by (100/25) gives: original amount = (100/25)*$125 = $<<(100/25)*125=500>>500 #### 500