Eden, Mary and Iris gather sand to fill their sandbox. Eden carried 4 buckets of sand. Mary carried 3 more buckets of sand than Eden. Iris carried 1 less bucket of sand than Mary. If each bucket contains 2 pounds of sand, how many pounds of sand did they collect in total?

How many buckets of sand did Mary carry? ** Mary carried 4 + 3 =

<<4+3=7>>7 buckets of sand. How many buckets of sand did Iris carry? ** Iris carried 7 – 1 = <<7-1=6>>6 buckets of sand. How many buckets of sand did they carry in total? ** All together, they carried 4 + 7 + 6 = <<4+7+6=17>>17 buckets of sand. How many pounds of sand did they collect in total? ** The sand weighed a total of 17 * 2 = <<17*2=34>>34 pounds. #### 34 Karen has 32 quarters in her piggy bank. Her older brother Christopher has 64 quarters in his piggy bank. How much more money does Christopher have? How much money does Christopher have? ** Christopher has 64 quarters so he has 64*.25 = $<<64*.25=16.00>>16.00 How much money does Karen have? ** Karen has 32 quarters so she has 32*.25 = $<<32*.25=8.00>>8.00 How much more money does Christopher have? ** If Christopher has $16.00 and Karen has $8.00 then Christopher has 16-8 = $<<16-8=8.00>>8.00 more than Karen #### 8 James hurt himself exercising. The pain subsided after 3 days, but he knew that the injury would take at least 5 times that long to fully heal. After that, he wanted to wait another 3 days before he started working out again. If he wants to wait 3 weeks after that to start lifting heavy again, how long until he can lift heavy again? How long would it take for the injury to heal? ** The injury would be fully healed after 3*5=<<3*5=15>>15 days How long would it take for him to start exercising again? ** So he would start exercising again in 15+3=<<15+3=18>>18 days How long would he wait after that? ** He would then wait for 3*7=<<3*7=21>>21 more days to start lifting heavy again How long would he need to wait? ** That means he needs to wait 18+21=<<18+21=39>>39 days #### 39 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)? How many square centimeters is the house of cards that Zion made? ** 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. What is the total area of the triangular houses that Zion and his friends made? ** 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. What is the total area of the triangular houses that Zion and his friends made? ** 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? How many Dutch people were on the bus? ** 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. How many Dutch Americans were on the bus? ** 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. How many Dutch Americans sat at the windows? ** 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? Define a variable ** Let L = Leeward Center How many floors does the Chrysler Building have? ** Chrysler = L + <<+11=11>>11 Write an equation ** L + L + 11 = 35 Simplify ** 2L + 11 = 35 Simplify ** 2L = 24 How many floors does the Leeward Center have? ** Leeward = <<12=12>>12 floors How many floors does the Chrysler Building have? ** Chrysler = 12 + 11 = <<12+11=23>>23 floors How many floors does the Chrysler Building have? ** 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? How tall is the rectangle? ** Twice the height of the rectangle is 30 inches - 2 * 4 inches = <<30-2*4=22>>22 inches. How tall is the rectangle? ** The rectangle's height is 22 inches / 2 = <<22/2=11>>11 inches. What is the area of the rectangle? ** 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? How many red candies are there? ** Three times the number of red candies is 40*3=<<40*3=120>>120. How many yellow candies are there? ** So, for yellow candies, there were 20 less than 120 candies, or a total of How many yellow candies are there? ** 120-20=<<120-20=100>>100 yellow candies. How many blue candies are there? ** Half as many blue candies as yellow candies is 100/2=<<100/2=50>>50 blue candies. How many candies remained? ** 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? How many sandwiches did Samson eat at dinner on Monday? ** Samson ate 3 sandwiches x 2 = <<3*2=6>>6 sandwiches at dinner on Monday How many sandwiches did Samson eat on Monday? ** He ate 3 sandwiches + 6 sandwiches = <<3+6=9>>9 sandwiches total on Monday How many more sandwiches in total did Samson eat on Monday than Tuesday? ** 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? How long will it take to cook the steaks? ** First find the total cook time for the steaks: 3 steaks * 6 minutes/steak = <<3*6=18>>18 minutes How long will it take to cook the steaks and the waffles? ** Then add the waffles' cook time to find the total cook time: 18 minutes + 10 minutes = <<18+10=28>>28 minutes #### 28