A building has 300 units. Half the units are residential and the other half are split evenly between offices and restaurants. How many restaurants are there in the building?

There are 300/2 =

<<300/2=150>>150 units for offices and restaurants. There are 150/2 = <<150/2=75>>75 restaurants in the building. #### 75 A roll of 25 m wire weighs 5 kg. How much does a 75 m roll weigh? We know that the 75 m roll is three times bigger than the 25 m roll because 75 m / 25 m = <<75/25=3>>3 This means the 75 m roll weighs 3 times more than the 25 m roll: 5 kg * 3 = 15 Kg #### 15 Marta was about to start the school year and needed to buy the necessary textbooks. She managed to buy five on sale, for $10 each. She had to order two textbooks online, which cost her a total of $40, and three she bought directly from the bookstore for a total of three times the cost of the online ordered books. How much in total did Martha spend on textbooks? Marta bought five textbooks on sale, for a total of 5 * 10 = $<<5*10=50>>50. Three textbooks from the bookstore had a cost of 3 * 40 = $<<3*40=120>>120. That means that Marta spent in total 50 + 40 + 120 = $<<50+40+120=210>>210 on textbooks. #### 210 Brenda is a vet who needs to spay some cats and twice as many dogs. If she needs to spay 21 animals total today, how many cats does she need to spay? Let c be the number of cats Brenda needs to spay and d be the number of dogs. We know that c + d = 21 and d = 2c. Substituting the second equation into the first, we get c + 2c = 21 Combining like terms, we get 3c = 21 Dividing both sides by 3, we get c = 7 #### 7 Micah bought envelopes to send, and depending on the weight of the envelope he will need more stamps. If an envelope weighs more than 5 pounds, he will need 5 stamps. If it weighs less than that, it will only need 2 stamps. If he bought 52 stamps with 6 envelopes that weigh less than 5 pounds, how many envelopes in total did Micah need to buy? Micah had to buy 6*2=<<6*2=12>>12 stamps for 6 envelopes less than 5 pounds. He has 52-12=<<52-12=40>>40 more stamps to buy. There are 40/5=<<40/5=8>>8 envelopes that weigh more than 5 pounds. Micah needed to buy 8+6=<<8+6=14>>14 envelopes. #### 14 The region east of plain A is 50 square miles less than the region east of plain B. If plain B has 200 square miles, how many square miles do the plains have in total? The region of plain A has a total of 200 - 50 = <<200-50=150>>150 square miles. The total number of square miles for both plains is 150 square miles for plain A + 200 square miles for plain B = <<150+200=350>>350 square miles #### 350 Maddy is in college for 8 semesters. She needs 120 credits to graduate. If each class is 3 credits, how many classes does she need to take per semester? 120 credits / 3 credits is <<120/3=40>>40. 40 credits/ 8 semester = <<40/8=5>>5 classes per semester. Maddy needs to take 5 classes per semester #### 5 After collecting all the old electronics in their house, Lauryn made $2000 from selling the items on eBay. If her friend Aurelia also made 70% of what she sold on eBay after selling her used electronics, calculate the total amount of money the two friends made on eBay. If Lauryn made $2000 from eBay, then her friend made 70/100*$2000 =$<<70/100*2000=1400>>1400 In total, the two friends made $2000+$1400 = $<<2000+1400=3400>>3400 #### 3400 The tank of John's car is full: it contains 47 liters of gasoline. After a journey of 275 km, there are 14 liters left. What is the fuel consumption of this car per 100 km? The car consumed 47 liters - 14 liters = <<47-14=33>>33 liters of gasoline for 275 km. Let x be the fuel consumption per 100 km. We can write the proportion: 33/275 = x/100 The cross product gives: 275 x = 33 * 100 So the car consumes x = 3300/275 = <<3300/275=12>>12 liters per 100 km. #### 12 In the fall, a tree drops a tenth of its initial quantity of leaves each day over the course of four days, then abruptly drops the rest on the fifth day. If it had 340 leaves before they started to fall, how many leaves does it drop on the fifth day? The tree drops 340 / 10 = <<340/10=34>>34 leaves for each of the four days. Thus, it drops 34 * 4 = <<34*4=136>>136 leaves over the first four days. Therefore, it drops 340 - 136 = <<340-136=204>>204 leaves on the fifth day. #### 204