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?

Each pack contains 30/3=

<<30/3=10>>10 spoons 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? 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 He makes this trip twice in one day for a total of 2*5 = <<2*5=10>>10 miles He does this 4 times in a week for a total of 4*10 = <<4*10=40>>40 miles. The round trip (once a week) to the market is 2+2 = <<2+2=4>>4 miles. His total mileage for a typical week = 40+4 = <<40+4=44>>44 miles #### 44 John starts a TV show. He pays $1000 per episode for the first half of the season. The second half of the season had episodes that cost 120% more expensive. If there are 22 episodes how much did the entire season cost? The season is broken up into 22/2=<<22/2=11>>11 episode based on cost The first 11 episodes cost 11*1000=$<<11*1000=11000>>11,000 The next set of episodes cost 1000*1.2=$<<1000*1.2=1200>>1200 more per episode So they cost 1000+1200=$<<1000+1200=2200>>2200 each So in total they cost 2200*11=$<<2200*11=24200>>24200 So in total the season cost 24200+11000=$<<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? First calculate Nancy's monthly portion of the car insurance by multiplying the total cost by 40%: .4 * $80 = $<<.4*80=32>>32 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? Matt spent on math and science 30% + 40% = 70% of the time. This means he did homework from these two subjects for 70/100 * 150 minutes = <<70/100*150=105>>105 minutes. 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? 1/4 of 80 men is 80/4=<<80/4=20>>20 men 20 men couldn't finish, so 80-20=<<80-20=60>>60 men remain 60*2/3 = <<60*2/3=40>>40 men were dehydrated 1/5 of the dehydrated couldn't finish 40*1/5=<<40*1/5=8>>8 men 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? First find the amount of dye each blouse takes: 20 dots/blouse * 10 ml/dot = <<20*10=200>>200 ml/blouse 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 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 Mrs. Taylor bought two smart televisions that cost $650 each. If the total sales price had a 25% discount, how much did Mrs. Taylor pay for the two televisions? The total cost of the two smart televisions is $650 x 2 = $<<650*2=1300>>1300. The total discount of the two smart televisions is $1300 x 25/100 = $<<1300*25/100=325>>325 Mrs. Taylor paid $1300 - $325 = $<<1300-325=975>>975 for the two smart televisions. #### 975 Eastern rattlesnakes have 6 segments in their tails, while Western rattlesnakes have 8 segments. What is the percentage difference in their tail size, expressed as a percentage of the Western rattlesnake's tail size? First find the difference in size between the two kinds of snake tail: 8 segments - 6 segments = <<8-6=2>>2 segments Then divide that amount by the size of the Western rattlesnake's tail and multiply by 100% to express the answer as a percentage: 2 segments / 8 segments * 100% = 25% #### 25 Job is a farmer who rears cattle and grows crops. In total he has 150 hectares of land. 25 hectares are occupied by his house and farm machinery, and 15 hectares have been reserved for future expansion. 40 hectares are dedicated to rearing cattle. Assuming the rest of his land is used for crops, how many hectares of land does Job use for crop production? Job uses 25 + 15 + 40 = <<25+15+40=80>>80 hectares of land for non-crop purposes. Thus he uses 150 - 80 = <<150-80=70>>70 hectares for crop production. #### 70