Ezekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?

After the first day, Ezekiel had 50 - 10 =

<<50-10=40>>40 kilometers of the hike left. On the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers. Therefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike. #### 15 Anna can read 1 page in 1 minute. Carole can read as fast as Anna but at half the speed of Brianna. How long does it take Brianna to read a 100-page book? If Anna can read 1 page in 1 minute, then her speed is 1/1 = <<1/1=1>>1 page per min If Carole can read at Anna's same speed then her speed is also 1 page per min If Carole is only half the speed of Brianna, then that means Brianna is twice as fast as Carole, so 2 * 1 page per min = <<1*2=2>>2 pages per min If a book is 100 pages long and Brianna can read 2 pages per minute, then it will take her 100/2 = <<100/2=50>>50 minutes to read the book #### 50 Lillian went out to forage for mushrooms with her handy guidebook. She found 32 mushrooms and used her guidebook to identify which ones were poisonous and which were safe to eat. In the end, she had 9 mushrooms she could safely eat for dinner. Of the rest, she identified twice the amount she ate as poisonous, and a remaining bunch she was uncertain about. How many mushrooms was she uncertain were safe or poisonous? Lillian found 9 of the mushrooms were safe, so there were 32 - 9 = <<32-9=23>>23 that she found poisonous or uncertain. She knew twice the amount she ate were poisonous, so she found 9 * 2 = <<9*2=18>>18 poisonous mushrooms. Thus, she was uncertain about 23 - 18 = <<23-18=5>>5 mushrooms. #### 5 Justice has 3 ferns, 5 palms, and 7 succulent plants in her house. If she wants a total of 24 plants in her home, how many more plants does she need? Justice currently has 3 + 5 + 7 = <<3+5+7=15>>15 plants in her house Justice needs 24 - 15 = <<24-15=9>>9 more plants #### 9 Jaydee can type 38 words in a minute. How many hours will he take to finish typing a research paper with 4560 words? Jaydee can type his research paper in 4560/38 = <<4560/38=120>>120 minutes. Since there are 60 minutes in an hour, he can finish it in 120/60 = <<120/60=2>>2 hours. #### 2 Barry wants to make a huge salad using only cucumbers and tomatoes. He will use a total of 280 pieces of vegetables. If there are thrice as many tomatoes as cucumbers, how many cucumbers will be used in the salad? Let c be the number of cucumbers and t the number of tomatoes. The total is the sum of the number of cucumbers and that of tomatoes, which is c + t = 280 piece of vegetables Since there are thrice as many tomatoes as cucumbers, this means c =t/3 Therefore 3*c = t. The sum will therefore be c + 3*c = 280 pieces of vegetables This means that 4*c = 280 vegetables Therefore c = 280/4 = <<280/4=70>>70 cucumbers. #### 70 Marco loves trading cards. He has a total of 500 cards on hand, and a fourth of them are duplicates. Marco decides to trade one-fifth of these duplicates for completely new cards to his friend Josh. How many new cards did Marco get? Marco has 500*0.25=<<500*0.25=125>>125 duplicate trading cards. He wants to trade off 125*0.2=<<125*0.2=25>>25 cards for new ones. #### 25 There are 141 gold balloons and twice as many silver balloons. If the gold and silver balloons were added to 150 black balloons, how many balloons are there in total? Gold = <<141=141>>141 Silver = 141 * 2 = <<141*2=282>>282 141 + 282 + 150 = <<141+282+150=573>>573 There are 573 gold, silver, and black balloons in total. #### 573 Lisa bought a new iPhone for $1000. She bought a phone contract that costs $200/month, a case that costs 20% of the cost of the phone, and headphones that cost half as much as the case. How much will Lisa spend on her phone in the first year? First find the cost of the case: $1000 * 20% = $<<1000*20*.01=200>>200 Then find the cost of the headphones: $200 / 2 = $<<200/2=100>>100 Then find how much the phone contract will cost over a year: $200/month * 12 months/year = $<<200*12=2400>>2400 Finally, add the cost of the phone, accessories, and plan over the first year to find the total: $2400 + $100 + $200 + $1000 = $<<2400+100+200+1000=3700>>3700 #### 3700 Sofia and her mother go to the grocery store and buys 10kgs of oranges to be used in their home for the week. While at the store, Sofia's father calls and says they're to add 5 more kgs since their neighbor also wanted some supplies. When they reach home, they estimated that for the next coming two weeks they'll have to buy twice as many oranges each week for the supplies to be enough. What the total quantity of oranges they would have bought after the three weeks. For the first week, they bought 10 + 5 = <<10+5=15>>15kgs. For the next week, they bought twice the quantity of oranges which is 2*15 = <<2*15=30>>30kgs. For the next two weeks, the total quantity of oranges bought is 30*2 = <<30*2=60>>60 kgs. The total quantity for the three weeks is 60+15=<<60+15=75>>75 kgs #### 75