If it takes 10 people 10 days to shovel 10,000 pounds of coal, how many days will it take half of these ten people to shovel 40,000 pounds of coal?

The 10 people shovel 10,000 pounds per 10 days, or 10,000/10=

<<10000/10=1000>>1000 pounds per day per 10 people. And 1000 pounds per day per 10 people is 1000/10=<<1000/10=100>>100 pounds per day per person. Half of ten people is 10/2=<<10/2=5>>5 people. At 100 pounds per day per person, 5 people can shovel 5*100=<<5*100=500>>500 pounds per day. Therefore, for 5 people to shovel 40,000 pounds, it will take 40,000/500=<<40000/500=80>>80 days. #### 80 Mikaela earns $10 an hour tutoring. For the first month, she tutored for 35 hours and in the second month, she tutored 5 hours more than the first month. She spent 4/5 of her total earnings on her personal needs and saved the rest of the money. How much did she save? Mikaela spent 35 + 5 = <<35+5=40>>40 hours in the second month. So, she tutored a total of 35 + 40 = <<35+40=75>>75 hours for the first two months. Thus, her total earning was 75 x $10 = $<<75*10=750>>750. And, her total expenses was 4/5 x $750 = $<<4/5*750=600>>600. Therefore, she saved an amount of $750 - $600 = $<<750-600=150>>150. #### 150 One serving of soup has 1 cup of vegetables and 2.5 cups of broth. How many pints of vegetables and broth combined would be needed for 8 servings? One serving = 1 + 2.5 = <<1+2.5=3.5>>3.5 cups Eight servings = 8 * 3.5 = <<8*3.5=28>>28 cups 28 cups = 14 pints Eight servings would need 14 pints of vegetables and broth. #### 14 Five coworkers were talking during the lunch break. Roger, the oldest one, said that he has the same amount of experience in years as all four of the others combined and that his retirement should come when he accumulates 50 years of experience. Peter said that when he came to the company his daughter was 7 years old, and now she is 19 years old. Tom then said he has twice as many years of experience as Robert. Robert said that he has 4 years of experience less than Peter but 2 more years of experience than Mike. How many more years does Roger have to work before he retires? Peter has 19 – 7 = <<19-7=12>>12 years of experience. Robert has 12 – 4 = <<12-4=8>>8 years of experience. Mike has 8 – 2 = <<8-2=6>>6 years of experience. Tom has 2 * 8 = <<2*8=16>>16 years of experience. Roger has 12 + 8 + 6 + 16 = <<12+8+6+16=42>>42 years of experience. Roger has to work another 50 – 42 = <<50-42=8>>8 years before he retires. #### 8 Buying a toaster requires an insurance plan that is 20% of the MSRP, plus a mandatory state tax rate of 50% after the insurance plan calculation. Jon chooses to buy a toaster that costs $30 at MSRP. What is the total he must pay? The insurance plan costs $30*0.2=$<<30*0.2=6>>6. The pre-state tax total is $30+$6=$<<30+6=36>>36. State tax will be $36*0.5=$<<36*0.5=18>>18. Jon needs to pay $18+$36=$<<18+36=54>>54 for his new toaster. #### 54 Tom originally was only able to lift 80 kg farmer handles per hand. After some training, he was able to double this number. He then decided to specialize and was able to get an extra 10%. How much weight can he hold in total? After doubling he was able to hold 80*2=<<80*2=160>>160 kg per hand Specialization gave him another 160*.1=<<160*.1=16>>16 kg So he lifted 160+16=<<160+16=176>>176 kg per hand That means he lifted a total of 352 kg #### 352 After eating half of the number of fruits he had, Martin remained with twice as many oranges as limes. If he has 50 oranges now, how many fruits did he initially have? Since the number of oranges that Martin has now is twice the number of limes, there are 50/2 = <<50/2=25>>25 limes. The number of fruits she has now is 50 oranges+25 limes= <<50+25=75>>75 If she had eaten half of the number of fruits that she had, initially Martin had 2*75 = <<2*75=150>>150 fruits #### 150 Stefan, Vail, and Aiguo collected seashells. Stefan had 16 more seashells than Vail. Vail had 5 less than Aiguo. Aiguo had 20 seashells. How many seashells did the 3 children have in total? Aiguo = <<20=20>>20 shells Vail = 20 - 5 = <<20-5=15>>15 shells Stefan = 15 + 16 = <<15+16=31>>31 shells Total = 20 + 15 + 31 = <<20+15+31=66>>66 The 3 children had 66 seashells altogether. #### 66 A store is selling mobile phones. This store contains 20 units of phones but the owner found out that there were 5 defective units. After he got rid of the defective units, he started to sell the rest of his units to customer A who bought 3 units, customer B who bought a certain amount of units, and customer C who bought 7 units. In the end, all non-defective units were sold. How many units were sold to Customer B? There were 20 - 5 = <<20-5=15>>15 units of non-defective smartphones. There were 3 + 7 = <<3+7=10>>10 units sold to customers A and C. So, 15 - 10 = <<15-10=5>>5 units were sold to customer B. #### 5 Marianne was 20 years old when Bella was 8 years old. How old will Marianne be when Bella turns 18? Marianne is 20 - 8 = <<20-8=12>>12 years older than Bella. Bella will turn 18 in 18 - 8 = <<18-8=10>>10 years. So, Marianne will be 20 + 10 = <<20+10=30>>30 years old then. #### 30