At a gathering, it was reported that 26 people took wine, 22 people took soda, and 17 people took both drinks. If each person could have taken one or more drinks regardless of what was reported, how many people altogether were at the gathering?

How many people took only wine? ** The number of people who took only wine is the difference between the number of people who took wine and those who took wine and soda which is 26 -17 =

<<26-17=9>>9 people How many people took only soda? ** In the same manner, the number of people who took only soda is 22-17 = <<22-17=5>>5 people How many people were at the gathering? ** Therefore the total number present is the sum of those who took wine only, those who took soda only and those who took both which is 9+5+17 = <<9+5+17=31>>31 people #### 31 Bobby needed to make some trips with his truck and had only 12 gallons of gasoline. He drives to a supermarket 5 miles away and then drives back home. Then he headed to his farm which was 6 miles away. Two miles into the journey, he turned around and drove back home to retrieve some farming tools he forgot to take earlier and drove down to the farm. If he now has exactly 2 gallons of gasoline left, at what rate in miles per gallon has his truck been consuming gasoline? How many miles does Bobby drive to the supermarket? ** The trip to the supermarket and back home covers 5+5=<<5+5=10>>10 miles. How many miles does Bobby drive before he actually goes to the farm? ** The round trip of two miles each before he actually went to the farm covers 2+2=<<2+2=4>>4 miles. How many miles does Bobby drive in total? ** Six miles to the farm and the total mileage is 10+4+6=<<10+4+6=20>>20 miles. How many gallons of gasoline did Bobby's truck consume? ** The truck consumed 12-2=<<12-2=10>>10 gallons of gasoline for the total journey. What is the rate in miles per gallon? ** So, the rate is 20/10= <<20/10=2>>2 miles per gallon. #### 2 Terez has 44 cows on his farm. 50 percent of the cows are female, and 50 percent of the females are pregnant. How many pregnant female cows does Terez have? How many female cows are there? ** Female:44(.50)=22 How many pregnant cows are there? ** Pregnant:22(.50)=11 cows #### 11 Tom needs to lower a rope down 6 stories. One story is 10 feet. The only rope being sold is 20 feet long but you lose 25% when lashing them together. How many pieces of rope will he need to buy? How many feet does Tom need? ** He needs 10*6=<<10*6=60>>60 feet How many feet does Tom lose? ** He loses 20*.25=<<20*.25=5>>5 feet each time How many feet does Tom get from each piece? ** So he gets 20-5=<<20-5=15>>15 feet from each piece How many pieces of rope does Tom need? ** That means he needs 60/15=<<60/15=4>>4 pieces of rope #### 4 Samuel swept the porch and cleared nine-tenths of the dust particles from it. As he walked across the porch afterward, his shoes left 223 dust particles behind. How many dust particles were on the porch before Samuel swept if there were 331 after he walked across it? How many dust particles were on the porch before Samuel swept? ** Before Samuel walked across the porch, there were 331 - 223 = <<331-223=108>>108 dust particles. How many dust particles were on the porch before Samuel swept? ** Those 108 were 1/10 of the original amount, so there were 108 * 10 = <<108*10=1080>>1080 dust particles on the porch before Samuel swept. #### 1080 In a 90-minute soccer game, Mark played 20 minutes, then rested after. He then played for another 35 minutes. How long was he on the sideline? How many minutes did Mark play? ** Mark played for a total of 20 + 35 = <<20+35=55>>55 minutes. How many minutes was Mark on the sideline? ** So, he was on the sideline for 90 - 55 = <<90-55=35>>35 minutes. #### 35 Kim's TV uses 125 watts of electricity per hour. She runs it for 4 hours a day. If electricity cost 14 cents per kw/h how many cents does her TV cost to run for a week? How many watt hours does Kim use in a day? ** She uses 4 hours/day * 125 watts/hour=<<4*125=500>>500 watt hours/day How many watt hours does Kim use in a week? ** That means she uses 500 watt hours/day * 7 days/week = <<500*7=3500>>3500 watt hours/week How many kw hours does Kim use in a week? ** This is 3500 watt hours / 1000 watts/kw = <<3500/1000=3.5>>3.5 kw hours How many cents does Kim's TV cost to run for a week? ** So her TV cost 3.5 kw hours/week * $0.14/kw hour = $<<3.5*0.14=0.49>>0.49/week #### 49 Archie is playing with his marbles outside. He loses 60% of them into the street. Of the remaining ones, he loses half down a sewer. If he has 20 left, how many did he start with? How many marbles did Archie have before losing them into the sewer? ** He had 40 before losing them into the sewer because 20 x 2 =<<40=40>>40 How many marbles did Archie start with? ** He started with 100 because 40/.4=<<100=100>>100 #### 100 Adam earns $40 daily in his job. 10% of his money is deducted as taxes. How much money will Adam have earned after taxes after 30 days of work? How much money is deducted from Adam's daily pay? ** The amount of money deducted from Adam's daily pay is $40 / 10 = $<<40/10=4>>4. How much money does Adam earn after taxes? ** So after deducting 10%, Adam’s daily pay is $40 – $4 = $<<40-4=36>>36. How much money will Adam have earned after taxes after 30 days of work? ** This means that in 30 days he earns $36 * 30 = $<<36*30=1080>>1080. #### 1,080 Lucille is painting her room. Two of her walls are 3 meters wide and 2 meters tall. The third wall is 5 meters wide and 2 meters tall. The final wall is 4 meters wide and 2 meters tall. If each can of paint covers 2 square meters, how many cans of paint does Lucille need? How many square meters does each wall cover? ** For the first set of walls, each wall covers 3 meters wide * 2 meters tall = <<3*2=6>>6 square meters. How many square meters does each wall cover? ** There are two of these walls, so this becomes a total of 6 meters * 2 walls = <<6*2=12>>12 square meters. How many square meters does the third wall cover? ** The third wall covers 5 meters wide * 2 meters tall = <<5*2=10>>10 square meters. How many square meters does the final wall cover? ** The final wall covers 4 meters wide * 2 meters tall = <<4*2=8>>8 square meters. How many square meters does the paint need to cover? ** So in total, the paint needs to cover 12 + 10 + 8 = <<12+10+8=30>>30 metres. How many cans of paint does Lucelie need? ** Since each can covers 2 meters, Lucille needs 30 meters / 2 = <<30/2=15>>15 cans of paint. #### 15