Jake splits 8 shots of vodka with his friend. Each shot of vodka is 1.5 ounces. If the vodka is 50% pure alcohol, how much pure alcohol did Jake drink?

How many shots did Jake drink? ** Jake drank 8/2=

<<8/2=4>>4 shots How many ounces of vodka did Jake drink? ** So he drank 4*1.5=<<4*1.5=6>>6 ounces of vodka How many ounces of pure alcohol did Jake drink? ** That means he drank 6*.5=<<6*.5=3>>3 ounces of pure alcohol #### 3 Jake and Penny are hunting snakes. Jake's snake is 12 inches longer than Jenny's snake. If the two snakes have a combined length of 70 inches, how long is Jake's snake? How long is Jake's snake? ** Let j be the length of Jake's snake and p be length of Penny's snake. We know that j + p = 70, and j = p + 12. How long is Penny's snake? ** We can substitute the second equation into the first equation to get p + 12 + p = 70 How long is Penny's snake? ** Combining like terms, we get 2p + 12 = 70 How long is Penny's snake? ** Subtracting 12 from both sides, we get 2p = 58 How long is Penny's snake? ** Dividing both sides by 2, we get p = 58 / 2 = <<58/2=29>>29 inches. Penny's snake is 29 inches. How long is Jake's snake? ** Substituting that length in to the equation j = p + 12, we get j = 29 inches + 12 inches = <<29+12=41>>41 inches #### 41 Jenny's local library received 50 visitors on Monday. On Tuesday, the library received twice that number. On the remaining days of the week, an average of 20 visitors went to the library. What's the total number of visitors who went to the library that week? How many visitors were there on Tuesday? ** On Monday, there were 50 visitors. On Tuesday, there were twice as many, so 2*50 = 100 visitors How many visitors were there after Tuesday? ** The total number of visitors after Tuesday will be 100+50 = <<100+50=150>>150 visitors. How many visitors were there on the remaining days? ** For the remaining 5 days, an average of 20 visitors attended, giving a total of 5*20 = <<5*20=100>>100 visitors. What was the total number of visitors who went to the library that week? ** The total number of visitors who visited the library for the week was 100+150 = <<100+150=250>>250 visitors. #### 250 Mr. Callen bought 10 paintings at $40 each and 8 wooden toys at $20 each from the crafts store to resell at a profit. However, when he sold the items, the selling price of a painting was 10% less and the selling price of a hat 15% less. Calculate the total loss Mr. Callen made from the sale of the items. How much did Mr. Callen lose on each painting? ** If he sold a painting at a 10% loss, then he made a 10/100*$40 = $<<10/100*40=4>>4 loss on each painting. How much did Mr. Callen lose from selling the paintings? ** since he bought 10 paintings, the total loss he made from selling the paintings is 10*$4 = $<<10*4=40>>40 How much did Mr. Callen lose from selling the toys? ** He also made a loss of 15/100*20 = $<<15/100*20=3>>3 loss from selling each wooden toy. How much did Mr. Callen lose from selling the toys? ** Since he bought 8 wooden toys, the total loss he made was 3*8 = $<<8*3=24>>24 What was the total loss Mr. Callen made from the sale of the items? ** In total, Mr. Callen made a loss of $40+$24 = $<<40+24=64>>64 from the sales of the items. #### 64 An electronic shop offers smartphones for $300 each, personal computers for $500 more than smartphones, and advanced tablets for the sum of the prices of a smartphone and personal computer. How much do you have to pay to buy one of each of the three mentioned products? How much does a personal computer cost? ** The price of a personal computer is $300 + $500 = $<<300+500=800>>800. How much does an advanced tablet cost? ** The price of an advanced tablet would be $300 + $800 = $<<300+800=1100>>1100. How much do you have to pay to buy one of each of the three mentioned products? ** To buy each of these products, you would have to pay $300 + $800 + $1100 = $<<300+800+1100=2200>>2200. #### 2200 Coral is reading a book that is 600 pages long. She reads half of it in the first week, and 30 percent of the remaining pages the second week. How many pages must she read the third week in order to finish the book? How many pages does Coral read in the first week? ** Week 1:600/2=300 How many pages does Coral have left to read after the first week? ** 600-300=<<600-300=300>>300 pages remain How many pages does Coral read in the second week? ** Week 2:300(.30)=90 pages How many pages does Coral have left to read after the second week? ** 300-90=<<300-90=210>>210 pages remain How many pages must she read the third week in order to finish the book? ** Week 3:210 pages #### 210 John eats a bag of chips for dinner and then eats twice as many after dinner. How many bags of chips did he eat? How many bags did John eat after dinner? ** He ate 2 * 1 = <<2*1=2>>2 bags after dinner How many bags of chips did John eat? ** So he ate 2 + 1 = <<2+1=3>>3 bags of chips #### 3 Jenny had $24 left after spending 3/7 of her money. How much is half of her original amount of money? How much did Jenny spend? ** Jenny spent 1 - 3/7 = 4/7 of her money. How much did Jenny spend? ** Since 4/7 is equal to $24, then 1/7 is equal to $24/4 = $6. How much did Jenny originally have? ** So, Jenny originally had $6 x 7 = $<<6*7=42>>42. How much is half of her original amount of money? ** Therefore, half of her original amount of money is $42/2 = $<<42/2=21>>21. #### 21 Tim has 30 toads. Jim has 20 more toads than Tim does. Sarah has twice as many toads as Jim does. How many toads does Sarah have? How many toads does Jim have? ** Jim has 30+20 = <<30+20=50>>50 toads How many toads does Sarah have? ** Sarah has 50*2 = <<50*2=100>>100 toads #### 100 Jed is 10 years older than Matt. In 10 years, Jed will be 25 years old. What is the sum of their present ages? How old is Jed now? ** Jed is 25 - 10 = <<25-10=15>>15 years old now. How old is Matt now? ** So, Matt is 15 - 10 = <<15-10=5>>5 years old now. What is the sum of their present ages? ** Thus, the sum of their present ages is 15 + 5 = <<15+5=20>>20. #### 20