John buys 3 reels of 100m fishing line. He cuts it into 10m sections. How many sections does he get?
How much line does John buy? ** He buys 3*100=
<<3*100=300>>300m How many sections does John get? ** So he gets 300/10=<<300/10=30>>30 sections #### 30 A busy port has 4 cruise ships and twice as many cargo ships. The number of sailboats is 6 more than the cargo ships and seven times more than fishing boats. How many vessels are there on the water? How many cargo ships are there? ** There are 4 x 2 = <<4*2=8>>8 cargo ships. How many sailboats are there? ** There are 8 + 6 = <<8+6=14>>14 sailboats. How many fishing boats are there? ** There are 14/7 = <<14/7=2>>2 fishing boats. How many vessels are there? ** There are 4 + 8 + 14 + 2 = <<4+8+14+2=28>>28 vessels on the water. #### 28 A blacksmith has 400kg of iron to make horseshoes for neighbouring farms and stables. There are 2 farms nearby, each of which has 2 horses. There are 2 stables nearby which all have 5 horses each. While the blacksmith is crafting, a riding school reaches out and asks for as many horseshoes as possible for their own horses. The blacksmith promises to give them however many horseshoes he has left when he has finished his orders for the farms and stables. If each horseshoe needs 2kg of iron, how many horses will get new horseshoes at the riding school? How many horseshoes can the blacksmith make? ** The blacksmith can create a total of 400kg iron / 2kg iron per horseshoe = <<400/2=200>>200 horseshoes. How many horseshoes do the farms need? ** The farms need enough horseshoes for 2 farms * 2 horses each = <<2*2=4>>4 horses. How many horseshoes do the stables need? ** The stables need enough horseshoes for 5 stables * 2 horses each = <<5*2=10>>10 horses. How many horses do the farms and stages have? ** So in total, the farms and stables have 4 + 10 = <<4+10=14>>14 horses that need horseshoes. How many horseshoes will the riding school get? ** This is a total of 14 horses * 4 horseshoes per horse = <<14*4=56>>56 horseshoes. How many horseshoes does the blacksmith have left? ** This means the blacksmith has 200 total horseshoes – 56 horseshoes for the stables and farms = 144 horseshoes left for the riding school. How many horses will the riding school get? ** The riding school therefore will have enough horseshoes for 144 horseshoes / 4 horseshoes per horse = <<144/4=36>>36 horses. #### 36 Nancy earns $28 for working 4 hours. How many hours does she have to work to earn $70? How much does Nancy earn per hour? ** Nancy earns $28/4 = $<<28/4=7>>7 per hour. How many hours does Nancy have to work to earn $70? ** Therefore, she has to work $70/$7 = <<70/7=10>>10 hours to earn $70. #### 10 Going into the final game, Duke is so close to breaking the school's record for most points scored in a basketball season. He only needs 17 more points to tie the record. By the end of the game, Duke breaks the record by 5 points. The old record was 257 points. In the final game Duke made 5 free throws (worth one point), and 4 regular baskets (worth two points), and some three-pointers. Normally, he scores 2 three-pointers a game. How many more three-pointers did he score in the final game compared to his normal amount? How many points did Duke score in the final game? ** Duke scored 22 points in the final game because 17 + 5 = <<17+5=22>>22 How many points did Duke score from free-throws? ** He scored 5 points of free-throws, because 5 x 1 = <<5*1=5>>5 How many points did Duke score from regular baskets? ** He scored 8 points of regular baskets because 4 x 2 = <<4*2=8>>8 How many points did Duke make from three-pointers? ** He made 9 points of three-pointers because 22 - 5 - 8 = <<22-5-8=9>>9 How many three-pointers did Duke score in the final game? ** He scored 3 three-pointers in the final game because 9 / 3 = <<9/3=3>>3 How many more three-pointers did Duke score in the final game than his normal amount? ** Duke scored 1 more than normal because 3 - 2 = <<3-2=1>>1 #### 1 Dina has twice as many dolls as Ivy. 2/3 of Ivy's dolls are collectors editions. If Ivy has 20 collectors edition dolls, how many dolls does Dina have? How many dolls does Ivy have? ** Ivy has 20/2*3=<<20/2*3=30>>30 dolls. How many dolls does Dina have? ** Dina has 30*2=<<30*2=60>>60 dolls. #### 60 Connor sleeps 6 hours a night. His older brother Luke sleeps 2 hours longer than Connor. Connor’s new puppy sleeps twice as long as Luke. How long does the puppy sleep? How many hours does Luke sleep? ** Luke sleeps 2 hours longer than Connor who sleeps 6 hours so that’s 2+6 = <<2+6=8>>8 hours How many hours does the puppy sleep? ** The new puppy sleeps twice as long as Luke, who sleeps 8 hours, so the puppy sleeps 2*8 = <<2*8=16>>16 hours #### 16 Chad has 100 apples and each apple has different sizes and different price ranges. Each small apple cost $1.5, medium apple cost $2, and big apples cost $3. If Donny bought 6 small and medium apples and also 8 big apples, how much will Donny have to pay for all of it? How much did Donny pay for the small apples? ** Donny was charged $1.5 x 6 = $<<1.5*6=9>>9 for the small apples. How much did Donny pay for the medium apples? ** He was charged $2 x 6 = $<<2*6=12>>12 for the medium apples. How much did Donny pay for the big apples? ** And he was also charged $8 x 3 = $<<8*3=24>>24 for the big apples. How much did Donny have to pay for all the apples? ** Therefore, Donny has to pay $9 + $12 + $24 = $<<9+12+24=45>>45 for all the apples. #### 45 The moon is made of 50% iron, 20% carbon, and the remainder is other elements. Mars weighs twice as much as the moon, but has the exact same composition. If Mars is 150 tons of other elements, how many tons does the moon weigh? How much of Mars is made up of other elements? ** 30% of Mars is made up of other elements because 100 - 50 - 20 = <<100-50-20=30>>30 How much does Mars weigh? ** Mars weighs 500 tons because 150 / .3 = <<150/.3=500>>500 How much does the moon weigh? ** The moon weighs 250 tons because 500 / 2 = <<500/2=250>>250 #### 250 One white rhino weighs 5100 pounds and one black rhino weighs 1 ton. How many pounds would 7 white rhinos and 8 black rhinos weigh in total? How many pounds would 7 white rhinos weigh? ** 5100 * 7 = <<5100*7=35700>>35,700 pounds How many pounds are in a ton? ** 1 ton = <<2000=2000>>2000 pounds How many pounds would 8 black rhinos weigh? ** 8 * 2000 = <<8*2000=16000>>16000 pounds How many pounds would 7 white rhinos and 8 black rhinos weigh in total? ** 35,700 + 16,000 = <<35700+16000=51700>>51,700 How many pounds would 7 white rhinos and 8 black rhinos weigh in total? ** Seven white rhinos and 8 black rhinos would weigh 51,700 pounds. #### 51700