The football coach makes his players run up and down the bleachers 40 times. Each time they run up and down 32 stairs one way. If each stair burns 2 calories, how many calories does each player burn during this exercise?

How many stairs are in each bleacher? ** First find the number of stairs the players climb up and down each time: 32 stairs * 2 =

<<32*2=64>>64 stairs How many stairs do the players climb? ** Then multiply the number of stairs per run by the number of runs to find the total number of stairs the players climb: 64 stairs/run * 40 runs = <<64*40=2560>>2560 stairs How many calories do the players burn? ** Then multiply the number of stairs by the number of calories each stair burns: 2560 stairs * 2 calories/stair = <<2560*2=5120>>5120 calories #### 5120 Steve is building a bench for the playground and needs 6 lengths of wood that measure 4 feet and 2 lengths of wood that measure 2 feet. How many feet of wood does Steve need to buy? How many feet of wood does Steve need? ** Steve needs 6 lengths of 4 feet of wood or 6 x 4 = <<6*4=24>>24 feet of wood. How many feet of wood does Steve need? ** He also needs 2 lengths of 2 feet of wood or 2 x 2 = <<2*2=4>>4 feet of wood. How many feet of wood does Steve need? ** Altogether, Steve needs 24 feet of wood + 4 feet of wood = <<24+4=28>>28 feet of wood. #### 28 At the aquarium, there are twice as many sharks as stingrays. If there are 28 stingrays, how many fish are there? How many sharks are there? ** If sharks are twice the number of stingrays, then the number of sharks at the aquarium is 2 sharks/stingray * 28 stingrays = <<2*28=56>>56 sharks How many fish are there? ** The number of fish in the tank is 56 sharks + 28 stingrays = <<56+28=84>>84 fish #### 84 John decides to buy utensils. They come in 30 packs with an equal number of knives, forks, and spoons. How many packs does he need to buy if he wants 50 spoons? How many spoons are in each pack? ** Each pack contains 30/3=<<30/3=10>>10 spoons How many packs does he need to buy? ** So he needs to buy 50/10=<<50/10=5>>5 packs #### 5 The trip from Philip's house to the children's school is 2.5 miles, and the trip to the market is 2 miles. He makes the round trip to school two times (when taking the children to school and when bringing them back) every day for 4 days a week. Then he makes a round trip to the market once during weekends. What is his car's mileage for a typical week? How many miles does Philip drive when taking the children to school? ** Making the round trip to school means driving from the house to school and then back, for a total of 2.5+2.5 = <<2.5+2.5=5>>5 miles How many miles does Philip drive when taking the children to school? ** He makes this trip twice in one day for a total of 2*5 = <<2*5=10>>10 miles How many miles does Philip drive when taking the children to school? ** He does this 4 times in a week for a total of 4*10 = <<4*10=40>>40 miles. How many miles does Philip drive when going to the market? ** The round trip (once a week) to the market is 2+2 = <<2+2=4>>4 miles. What is his car's mileage for a typical week? ** His total mileage for a typical week = 40+4 = <<40+4=44>>44 miles #### 44 John starts a TV show. He pays $1000 per episode for the first half of the season. The second half of the season had episodes that cost 120% more expensive. If there are 22 episodes how much did the entire season cost? How many episodes are there? ** The season is broken up into 22/2=<<22/2=11>>11 episode based on cost How much did the first 11 episodes cost? ** The first 11 episodes cost 11*1000=$<<11*1000=11000>>11,000 How much did the second half of the season cost? ** The next set of episodes cost 1000*1.2=$<<1000*1.2=1200>>1200 more per episode How much did the second half of the season cost? ** So they cost 1000+1200=$<<1000+1200=2200>>2200 each How much did the entire season cost? ** So in total they cost 2200*11=$<<2200*11=24200>>24200 How much did the entire season cost? ** So in total the season cost 24200+11000=$<<24200+11000=35200>>35,200 #### 35,200 Nancy agreed to pay 40% of the cost of her daughter's car insurance, which costs $80 a month. How much will Nancy pay each year? How much does Nancy pay each month? ** First calculate Nancy's monthly portion of the car insurance by multiplying the total cost by 40%: .4 * $80 = $<<.4*80=32>>32 How much does Nancy pay each year? ** Then multiply the monthly cost by 12 to find the annual cost: $32 * 12 = $<<32*12=384>>384 #### 384 Matt did his homework for 150 minutes. He spent 30% of that time on math and 40% on science. He spent the remaining time on other subjects. How much time did Matt spend on homework in other subjects? How much time did Matt spend on math and science? ** Matt spent on math and science 30% + 40% = 70% of the time. How much time did Matt spend on math and science? ** This means he did homework from these two subjects for 70/100 * 150 minutes = <<70/100*150=105>>105 minutes. How much time did Matt spend on homework in other subjects? ** So Matt spent 150 minutes - 105 minutes = <<150-105=45>>45 minutes doing homework from other subjects. #### 45 There are 80 men in a race. 1/4 of the men tripped and were unable to finish. 2/3 of the remaining men were dehydrated and 1/5 of those dehydrated men couldn't finish the race. How many men finished the race? How many men tripped? ** 1/4 of 80 men is 80/4=<<80/4=20>>20 men How many men remain? ** 20 men couldn't finish, so 80-20=<<80-20=60>>60 men remain How many men were dehydrated? ** 60*2/3 = <<60*2/3=40>>40 men were dehydrated How many dehydrated men couldn't finish the race? ** 1/5 of the dehydrated couldn't finish 40*1/5=<<40*1/5=8>>8 men How many men finished the race? ** 60-8=<<60-8=52>>52 men finished the race #### 52 Jenna is adding black dots to a bunch of white blouses. Each blouse gets 20 dots, and each dot takes 10 ml of black dye. How many 400-ml bottles of dye does Jenna need to buy to dye 100 blouses? How many ml of dye does each blouse take? ** First find the amount of dye each blouse takes: 20 dots/blouse * 10 ml/dot = <<20*10=200>>200 ml/blouse How many ml of dye does Jenna need to buy? ** Then multiply the dye used per blouse by the number of blouses to find the total amount of dye used: 200 ml/blouse * 100 blouses = <<200*100=20000>>20000 ml How many bottles of dye does Jenna need to buy? ** Then divide the amount of dye needed by the amount of dye per bottle to find the number of bottles needed: 20000 ml / 400 ml/bottle = <<20000/400=50>>50 bottles #### 50