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Johnny's dad brought him to watch some horse racing and his dad bet money. On the first race, he lost $5. On the second race, he won $1 more than twice the amount he previously lost. On the third race, he lost 1.5 times as much as he won in the second race. How much did he lose on average that day?
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On the second race he won $11 because 1+ 5 x 2 = <<1+5*2=11>>11
On the third race he lost $15 because 10 x 1.5 = <<10*1.5=15>>15
He lost a total of $20 on the first and third races because 15 + 5 = <<15+5=20>>20
He lost $9 that day because 11 - 20 = <<11-20=-9>>-9
He lost an average of $3 per race because 9 / 3 = <<9/3=3>>3
#### 3
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A hospital sees 500 people a day. Each patient is seen for an average of 24 minutes. The doctors charge $150 an hour to the hospital and the hospital charges the patients $200 an hour. How much profit does the hospital make from these visits?
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The hospital sees patients for 500*24=<<500*24=12000>>12000 minutes a day
That means they see patients for 12000/60=<<12000/60=200>>200 hours a day
They profit 200-150=$<<200-150=50>>50 per hour
So they make a profit of 200 hours * $50/hour = $<<200*50=10000>>10000 a day from patient visits
#### 10000
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Fred was preparing for a party to be held in four days. So, he made 24 gallons of root beer on the first day and put them in the refrigerator cooler. But later that evening, his children discovered the delicious nectar and robbed the cooler, drinking 4 of those gallons of root beer. On the second day, his wife Barbie also discovered the root beer and accidentally spilled 7 gallons. On the third day, Fred's friend Ronnie visited Fred's house and helped himself to the root beer, further reducing the amount remaining by 5 gallons. On the fourth day, 3 people showed up for the party. If Fred and the others shared the remaining root beer equally, how much was available for each to drink during the party?
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Fred started with 24 gallons, but on day 1, his children drank 4 gallons, leaving 24-4=<<24-4=20>>20 gallons of root beer.
On day two, Barbie spilled 7 gallons, leaving 20-7=<<20-7=13>>13 gallons of root beer.
On day three, Ronnie helped himself to 5 gallons, leaving 13-5=<<13-5=8>>8 gallons of root beer for the party.
Three guests joined Fred for the party, resulting in 3+1=<<3+1=4>>4 party goers.
If the 4 party-goers split the root beer equally, each person gets 8/4=<<8/4=2>>2 gallons
#### 2
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John decides to build a program capable of identifying cancer cells. He gets initial funding of $100,000 for the first 5 months of research. His research ends up taking 10 times that long and every month after those first 5 took 50% more funding per month. How much did his research cost?
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The research ended up taking 5*10=<<5*10=50>>50 months
So he paid for expensive research for 50-5=<<50-5=45>>45 months
Each month of research at the cheaper stage cost 100,000/5=$<<100000/5=20000>>20,000
So the more expensive research cost 20,000*1.5=$<<20000*1.5=30000>>30,000
So that research cost 45*30,000=$<<45*30000=1350000>>1,350,000
So the total cost was 1,350,000+100,000=$<<1350000+100000=1450000>>1,450,000
#### 1,450,000
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Susan made 100 cookies for Christmas and was going to equally divide them between her 6 nephews. Before Susan could package them, her husband snuck 4 cookies for himself. How many cookies will each of Susan鈥檚 nephews get?
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Subtract 4 from 100 to see how many cookies are left. 100 cookies - 4 cookies = <<100-4=96>>96 cookies
Divide 96 cookies between her 6 nephews = 96 cookies/6 people = <<96/6=16>>16 cookies/person
#### 16
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