Zion made a triangular-shaped house of cards with the base having a measurement of 40 centimeters and a height of 20 centimeters. If two of his friends also built similar shaped houses, what's the total area of the triangular houses that Zion and his friends made (the area of a triangle is 1/2 * width * height)?

Since the area of a triangle is given by 1/2 base*height, the area of the triangular-shaped house of cards that Zion made is 1/2*40*20 =

<<1/2*40*20=400>>400 square centimeters. If two of his friend also built similar shaped houses, the total area of their triangular-shaped house of cards is 400+400=<<400+400=800>>800 square centimeters. Together with Zion, they all built triangular-shaped houses of cards with a combined area of 800+400=<<800+400=1200>>1200 square centimeters. #### 1200 Of the 90 people on William's bus, 3/5 were Dutch. Of the 1/2 of the Dutch who were also American, 1/3 got window seats. What's the number of Dutch Americans who sat at the windows? On the bus, the number of Dutch people was 3/5 of the total number, a total of 3/5*90 = <<3/5*90=54>>54 people. Out of the 54 people who were Dutch, 1/2 were Dutch Americans, a total of 1/2*54 = <<1/2*54=27>>27 people. If 1/3 of the passengers on the bus identifying as Dutch Americans sat at the windows, their number is 1/3*27 = <<1/3*27=9>>9 #### 9 The Chrysler Building has 11 more floors than the Leeward Center. Together they have a total of 35 floors. How many floors does the Chrysler Building have? Let L = Leeward Center Chrysler = L + <<+11=11>>11 L + L + 11 = 35 2L + 11 = 35 2L = 24 Leeward = <<12=12>>12 floors Chrysler = 12 + 11 = <<12+11=23>>23 floors The Chrysler Building has 23 floors. #### 23 There is a rectangle that is 4 inches wide. If the rectangle's perimeter is 30 inches, what is the area of the rectangle? Twice the height of the rectangle is 30 inches - 2 * 4 inches = <<30-2*4=22>>22 inches. The rectangle's height is 22 inches / 2 = <<22/2=11>>11 inches. The area of the rectangle is 4 inches * 11 inches = <<4*11=44>>44 square inches. #### 44 With one mighty blow, Maria cracked open the pinata, and candies spilled all over the floor. There were 40 red candies, 20 less than three times as many yellow candies as red candies, and half as many blue candies as yellow candies. If Carlos ate all of the yellow candies, how many candies remained? Three times the number of red candies is 40*3=<<40*3=120>>120. So, for yellow candies, there were 20 less than 120 candies, or a total of 120-20=<<120-20=100>>100 yellow candies. Half as many blue candies as yellow candies is 100/2=<<100/2=50>>50 blue candies. If Carlos ate all of the yellow candies, then only the 40 red and 50 blue candies remained for a total of 40+50=<<40+50=90>>90 candies. #### 90 On Monday Samson ate 3 sandwiches at lunch and ate twice as many at dinner. The next morning, he felt sick from eating all those sandwiches, so he only ate one sandwich for breakfast. How many more sandwiches in total did Samson eat on Monday than Tuesday? Samson ate 3 sandwiches x 2 = <<3*2=6>>6 sandwiches at dinner on Monday He ate 3 sandwiches + 6 sandwiches = <<3+6=9>>9 sandwiches total on Monday Therefore, he ate 9 sandwiches - 1 sandwich = 8 more sandwiches on Monday than Tuesday #### 8 Carla can cook a batch of waffles in 10 minutes and chicken-fried steak in 6 minutes. How long will it take her to cook 3 steaks and a batch of waffles? First find the total cook time for the steaks: 3 steaks * 6 minutes/steak = <<3*6=18>>18 minutes Then add the waffles' cook time to find the total cook time: 18 minutes + 10 minutes = <<18+10=28>>28 minutes #### 28 Hannah has three dogs. The first dog eats 1.5 cups of dog food a day. The second dog eats twice as much while the third dog eats 2.5 cups more than the second dog. How many cups of dog food should Hannah prepare in a day for her three dogs? The second dog eats 1.5 x 2 = <<1.5*2=3>>3 cups of dog food. The third dog eats 3 + 2.5 = <<3+2.5=5.5>>5.5 cups. So, Hannah should prepare 1.5 + 3 + 5.5 = <<1.5+3+5.5=10>>10 cups. #### 10 Patsy is gearing up for this weekend’s graduation. She needs to have 6 appetizers per each of her 30 guests. She’s making 3 dozen deviled eggs, 2 dozen pigs in a blanket and 2 dozen kebabs. How many more dozen appetizers does she need to make? She needs 6 appetizers per each of her 30 guests so she needs 6*30 = <<6*30=180>>180 appetizers She’s made 3 dozen deviled eggs, 2 dozen pigs in a blanket and 2 dozen kebabs so she’s made 3+2+2 = <<3+2+2=7>>7 dozen appetizers 7 dozen appetizers is 7*12 = <<7*12=84>>84 appetizers She needs 180 appetizers and has made 84 so she needs 180-84 = <<180-84=96>>96 appetizers 96 appetizers, in dozens, is 96/12 = <<96/12=8>>8 dozen more appetizers #### 8 There is a very large room that has 4 tables, 1 sofa and 2 chairs that have 4 legs each. There are also 3 tables with 3 legs each, 1 table with 1 leg, and 1 rocking chair with 2 legs. How many legs are there in the room? There are 4 tables, 1 sofa and 2 chairs that have 4 legs each so 4+1+2 =<<4+1+2=7>>7 pieces of furniture These 7 pieces have 4 legs each so they have 7*4 = <<7*4=28>>28 legs There are 3 tables with 3 legs each so they have 3*3 = <<3*3=9>>9 legs We have 28 legs and 9 legs as well a 1 leg on a table and 2 on a rocking chair for a total of 28+9+1+2 = <<28+9+1+2=40>>40 legs #### 40