In the engineering department, 70% of the students are men and 180 are women. How many men are there?

The percentage for women is 100% - 70% = 30%.

Since 180 represents 30%, then 180/30 = 6 students represent 1%.

Hence, 6 x 70 =

<<6*70=420>>420 students are men. #### 420 John has 2 hives of bees. One of the hives has 1000 bees and produces 500 liters of honey. The second has 20% fewer bees but each bee produces 40% more honey. How much honey does he produce? The second hive has 20/100*1000 = <<20/100*1000=200>>200 fewer bees. This translates to 1000-200 = <<1000-200=800>>800 bees. Each bee in the first hive produces 1000/500 = <<1000/500=2>>2 liters The second hive has bees each producing 1.4*2 = <<1.4*2=2.8>>2.8 liters The total amount of honey produces by the bees in the second hive is 2.8*700 = <<2.8*700=1960>>1960 The total honey produced is 1960+500 = <<1960+500=2460>>2460 liters #### 2460 Alfred is storing a tonne of maize each month for the next 2 years. If 5 tonnes are stolen and 8 tonnes are given to him as a donation, how many tonnes of maize does he have at the end of the 2 years. Before his maize is stolen, the maize he stores at the end of 1 year is 12*1= <<12*1=12>>12 tonnes of maize. Before his maize is stolen, the maize he stores at the end of 2 years is 12*2= <<12*2=24>>24 tonnes of maize. After his maize is stolen, he is left with 24-5=<<24-5=19>>19 tonnes of maize. After he receives the maize donation, he has 19+8=<<19+8=27>>27 tonnes of maize. #### 27 A factory produced televisions at a constant rate of 10 per day in a certain year. If they reduced the total production by 10 percent in the second year, calculate the total production of television by the factory in the second year. Since a year has 365 days, the total television production in the first year is 10*365 = <<10*365=3650>>3650 In the second year, they reduced the total television production by 10/100*3650 = <<10/100*3650=365>>365 The total television production in the second year was 3650-365 = <<3650-365=3285>>3285. #### 3285 If Billy and Jenny each order a $20 steak along with a $5 drink, how much will Billy have to pay in tips if he wants to cover 80% of a 20% tip for the two of them? First, we figure out the price per meal by adding the steak and the drink together, finding a cost of 20+5=<<20+5=25>>25 per meal. Then we multiply this by 2, as there are two people eating, meaning a total cost of 25*2=<<25*2=50>>50 for both meals. Then we find the total tip amount for a 20% tip, by multiplying 50*.2= 10. Then we find out what 80% of this tip amount is by multiplying the desired tip of 10 by .8, finding 10*.8= <<10*.8=8>>8 dollars that Billy should contribute. #### 8 Lily is going abroad on vacation with her family. Each of her 4 siblings is bringing 2 suitcases, and her parents are bringing 3 suitcases. Lily decides that there is already too much luggage and she won't be bringing any. How many suitcases is the entire family bringing on vacation? Her siblings have brought a total of 4 siblings * 2 suitcases each = <<4*2=8>>8 suitcases. Her parents have brought 2 parents * 3 suitcases each = <<2*3=6>>6 suitcases. This is a total of 8 + 6 = <<8+6=14>>14 suitcases. #### 14 Mr. Alonzo harvested 245.5 kg of tomatoes. He sold 125.5 kg to Mrs. Maxwell and 78 kg to Mr. Wilson. How many kilograms of tomatoes are not sold? Mr. Alonzo was able to sell 125.5 + 78 = <<125.5+78=203.5>>203.5 kg of tomatoes. So, there are 245.5 - 203.5 = <<245.5-203.5=42>>42 kg unsold tomatoes. #### 42 Hadley loves to do volunteer work at the local library. On a certain day, she neatly arranges 100 books on the shelf. By lunchtime, a certain number of books had been borrowed. She added 40 more books to the same shelf. By evening, 30 more books had been borrowed. If the shelf had 60 books remaining by the evening, how many books had been borrowed by lunchtime? Let x be the number of books borrowed by lunchtime. So by lunchtime, the remaining number of books will be 100-x After adding 40 more books, the total number of books increased to 100-x+40. By evening, after 30 more books have been borrowed, the total number of books remaining is 100-x+40-30 = 60 Thus 110 - x = 60. Thus x = <<50=50>>50 books #### 50 We the People has 17 cows. Happy Good Healthy Family has two more than three times the number of cows We the People has. If their cows are taken to a ranch to graze together, how many cows will be in the ranch altogether? Three times the number of cows We the People has is 3*17=<<3*17=51>>51 cows. Happy Good Healthy Family has two more than three times the number of cows We the People has, a total of 51+2=53 cows. If the cows are taken to a ranch to graze together, their total will be 53+17=<<53+17=70>>70 cows. #### 70 Coleen loved sprinkles. At the beginning of the day, she had twelve cans of sprinkles. After applying sprinkles to her hair, her clothing and her pets, she had 3 less than half as many cans of sprinkles as she started out with. How many cans of sprinkles remained? Half of twelve cans of sprinkles is 12/2=<<12/2=6>>6 cans. Three less than half as many cans of sprinkles is 6-3=<<6-3=3>>3 cans of sprinkles. #### 3