Ten adults went to a ball game with eleven children. Adult tickets are $8 each and the total bill was $124. How many dollars is one child's ticket?

How much did the adults' tickets cost in total? ** Adults = 10 * 8 = $

<<10*8=80>>80 How much did the children's tickets cost in total? ** Children = 124 - 80 = $<<124-80=44>>44 How much did each child's ticket cost? ** Child = 44/11 = $<<44/11=4>>4 How much did each child's ticket cost? ** Each child's ticket is $<<4=4>>4. #### 4 Nunzio eats three pieces of pizza every day for lunch. If a piece of pizza represents one-eighth of the entire pie, then how many pizzas does Nunzio eat in 72 days? How many pieces of pizza does Nunzio eat in 72 days? ** Three pieces of pizza every day for 72 days is 72*3=<<72*3=216>>216 pieces of pizza. How many pizzas does Nunzio eat in 72 days? ** If each pizza has 8 pieces, then 216 pieces represent 216/8=<<216/8=27>>27 pizzas. #### 27 Gretchen, Mitzi, and Beth went bowling together. Gretchen bowled a 120. Mitzi bowled a 113. Beth bowled an 85. What was their average bowling score? How many points did Gretchen, Mitzi, and Beth score? ** Gretchen bowled a 120 + Mitzi boweld a 113 + Beth bowled an 85 = <<120+113+85=318>>318 combined score. What was their average score? ** The average of their combined score of 318 / 3 bowlers = <<318/3=106>>106. #### 106 James decides to try and collect rare artifacts in the field. He spends 6 months researching before going on a 2-year-long expedition for his first find. The second artifact takes 3 times as long for the research and discovery. How long did it take him to find both? How long did the first artifact take to research? ** The research took 6/12=<<6/12=.5>>.5 years How long did the first artifact take? ** So it took 2+.5=<<2.5=2.5>>2.5 years for the first artifact How long did the second artifact take? ** It takes 2.5*3=<<2.5*3=7.5>>7.5 years for the second How long did it take him to find both? ** So in total it took 2.5+7.5=<<2.5+7.5=10>>10 years to find both #### 10 Jonathan eats 2500 calories every day except for Saturday, when he consumes an extra 1000 calories. He burns 3000 calories every day. What is his weekly caloric deficit? How many calories does Jonathan consume on Saturday? ** He consumes 2500+1000=<<2500+1000=3500>>3500 calories on Saturday How many calories does Jonathan consume in the week? ** He consumes 2500*6+3500=<<2500*6+3500=18500>>18500 calories in the week. How many calories does Jonathan burn in the week? ** He burns 3000*7=<<3000*7=21000>>21000 calories in the week What is his weekly caloric deficit? ** His caloric deficit is 21000-18500=<<21000-18500=2500>>2500 calories per week #### 2500 John uses a 75-watt electric fan for 8 hours a day. How much kWh of electric energy does he consume per month (30 days) for using the electric fan? How many watts does John use in a day? ** In a day, John uses 75x 8 = <<75*8=600>>600 watts. How many watts does John use in a month? ** So in a month, he uses 600 x 30 = 18 000 watts. How many kilowatts does John use? ** Since there are 1000 watts in 1 kilowatt, then John uses 18000/1000 = <<18000/1000=18>>18. #### 18 Alexandra bought 8 magazines at the bookstore on Friday. On Saturday, she went back and bought 12 more. Sunday morning, she saw that the store was having a sale and she bought four times the number of magazines she did on Friday. Later that day she discovered that her dog had chewed up 4 of the magazines. How many magazines does she have now? How many magazines did Alexandra buy on Saturday? ** By adding Friday and Saturday, Alexandra bought 12+8=<<12+8=20>>20 magazines How many magazines does Alexandra buy on Sunday? ** On Sunday she buys 8*4=<<8*4=32>>32 magazines How many magazines did Alexandra have before her dog got to them? ** Before her dog got to them she had 12+8+32=<<12+8+32=52>>52 magazines How many magazines does Alexandra have now? ** After her dog chewed up some she had 52-4=<<52-4=48>>48 magazines #### 48 A state fair charges $5 for a ticket. Two-thirds of the people who buy a ticket will buy deep-fried fair food for $8, one quarter will go on a ride for $4, and one eighth will spend $15 on a souvenir. The fair made $2520 from tickets. How many dollars did they make in all? How many people attended the fair? ** The fair made $2520 from tickets, so they had 2520 / 5 = <<2520/5=504>>504 people attend the fair. How many people will buy food? ** Two-thirds of those people will buy food, so 504 * 2 / 3 = <<504*2/3=336>>336 people will buy food. How much money will the fair make from food? ** The fair will make 336 * 8 = $<<336*8=2688>>2688 from food. How many people will go on a ride? ** A quarter of the people will go on a ride, so 504 / 4 = <<504/4=126>>126 people will go on a ride. How much money will the fair make from rides? ** The fair will make 126 * 4 = $<<126*4=504>>504 from rides. How many people will buy souvenirs? ** An eighth of the people will buy a souvenir, so 504 / 8 = <<504/8=63>>63 people will buy souvenirs. How much money will the fair make from souvenirs? ** The fair will make 63 * 15 = $<<63*15=945>>945 from souvenirs. How much money did the fair make in all? ** In all, the fair will make 2520 + 2688 + 504 + 945 = $<<2520+2688+504+945=6657>>6657. #### 6657 Lana and Mike are taking their dog and renting a cabin in the mountains for 2 weeks. The daily rate is $125.00 There is a $100.00 pet fee. There is also a 20% service/cleaning fee for the rental. They need to pay 50% of the entire bill as a security deposit. How much is their security deposit? How many days are they going for? ** There are 7 days in a week and they're going for 2 weeks so that's 7*2 = <<7*2=14>>14 days How much is the daily rate? ** The daily rate is $125.00 and they are staying for 14 days so that's 125*14 = $<<125*14=1750.00>>1,750.00 How much is the pet fee? ** There is also a $100.00 pet fee on top of their rental fee of $1,750.00 so that's 100+1750 = $<<100+1750=1850.00>>1850.00 How much is the service/cleaning fee? ** There is a 20% fee on the $1,850.00 so the fee comes to .20*1850 = $370.00 How much will the rental cost? ** The rental will costs $1,850.00 and there is $370.00 service/cleaning fee for a total of 1850+370 = $<<1850+370=2220.00>>2,220.00 How much is their security deposit? ** They need to pay 50% of the entire bill as a security deposit so that will be .5*2220 = $<<50*.01*2220=1110.00>>1,110.00 #### 1110 Ali, Peter, and Joey were fishing. The fish Ali caught weighed, in sum, twice as much as the fish that Peter caught. Joey caught 1 kg more fish than Peter. Together the three of them caught 25 kg of fish. How many kilograms did Ali catch? How many kg of fish did Ali and Joey catch? ** Let x be the weight of the fish that Peter caught. Then Ali and Joey caught 2*x and x+1 kg of fish, respectively. Write an equation ** So, x+ 2*x + x+1 =25 Simplify ** So, 4*x = 25 - 1 = 24 Simplify ** So, x = <<6=6>>6 How many kg of fish did Ali catch? ** Therefore, Ali caught 2*x = 2*6 = 12 kg of fish #### 12