Lily bought a Russian nesting doll as a souvenir. The biggest doll is 243 cm tall, and each doll is 2/3rd the size of the doll that contains it. How big is the 6th biggest doll?

First find the size of the second-biggest doll: 243 cm * 2/3 =

<<243*2/3=162>>162 cm Then find the size of the third-biggest doll: 162 cm * 2/3 = <<162*2/3=108>>108 cm Then find the size of the fourth-biggest doll: 108 cm * 2/3 = <<108*2/3=72>>72 cm Then find the size of the fifth-biggest doll: 72 cm * 2/3 = <<72*2/3=48>>48 cm Then find the size of the sixth-biggest doll: 48 cm * 2/3 = <<48*2/3=32>>32 cm #### 32 Three schools organized a science fair competition and invited students from all the schools to develop ideas and present them before a panel of judges selected by all the schools competing in the science fair. There were 50 students from Know It All High School at the competition, 3/5 times as many students from Karen High as Know It All High School, and twice the combined number of students from the first two schools that came were from Novel Corona High School. Calculate the total number of students at the competition? If 50 students came from Know It All High School, then Karen High, which had 3/5 times as many students as Know It All High School, had 3/5*50 = 30 students at the fair. The total number of students from Know It All and Karen high schools is 50+30 = <<50+30=80>>80 students. If Novel Corona had twice the combined number of students from Know It All and Karen high schools, then it had 2*80 = <<2*80=160>>160 students at the competition. The total number of students at the competition is 80+160 = <<80+160=240>>240 #### 240 Jina likes to collect mascots. She has 5 teddies, 3 times more bunnies, and a koala bear. Her mom decided to give her two additional teddies for every bunny she has. How many mascots Jina has in total? In the beginning, Jina has 5 teddies * 3 bunnies/teddy = <<5*3=15>>15 bunnies. So her mom decided to give her 15 bunnies * 2 teddies/bunny = <<15*2=30>>30 teddies. So in total Jina has 5 teddies + 15 bunnies + 1 koala + 30 teddies = <<5+15+1+30=51>>51 mascots. #### 51 Bernie loves eating chocolate. He buys two chocolates every week at the local store. One chocolate costs him $3. In a different store, there is a long-term promotion, during which each chocolate costs only $2. How much would Bernie save in three weeks, if he would buy his chocolates in this store instead of his local one? During three weeks, Bernie buys 3 * 2 = <<3*2=6>>6 chocolates. In the local store, he pays for them 6 * 3 = $<<6*3=18>>18. If Bernie would buy the same chocolates in the different store, he would pay 6 * 2 = $<<6*2=12>>12. So Bernie would be able to save 18 - 12 = $<<18-12=6>>6. #### 6 Eliza has 4 siblings. The total height of all 5 siblings combined is 330 inches. Two of her siblings are both 66 inches tall. Another sibling is 60 inches tall. If Eliza is 2 inches shorter than the last sibling, how tall is Eliza? The first three siblings are 66 +66 + 60 = <<66+66+60=192>>192 inches tall. Since the total of all the siblings is 330 inches, Eliza and the last sibling are 330 - 192 = <<330-192=138>>138 inches tall combined. If Eliza's height = h, 138 inches = h + (h+2). (138-2)/2 = <<(138-2)/2=68>>68 inches. Eliza is 68 inches tall. #### 68 Pedro, Linden, and Jesus are playing a game. Jesus has 60 squares. Linden has 75 squares. Pedro has 200. How many more squares does Pedro have than both Jesus and Linden combined? Pedro has 100 squares - 60 squares = <<100-60=40>>40 more squares than Jesus. Pedro has 100 squares - 75 squares = <<100-75=25>>25 more squares than Linden. Combined Pedro has 40 squares + 25 squares = <<40+25=65>>65 squares more than both Jesus and Linden. #### 65 At Theo’s cafe, he makes 3 egg and 4 egg omelettes. His cafe is open from 7:00 a.m. to 11:00 a.m. In the first hour, 5 customers order the 3 egg omelettes. In the second hour, 7 customers order the 4 egg omelettes. In the third hour, 3 customers order the 3 egg omelettes. In the last hour, 8 customers order the 4 egg omelettes. How many eggs does Theo need to make all the omelettes? In the first and third hour, 5 + 3 = <<5+3=8>>8 customers order the 3 egg omelettes. In the second and last hour, 7 + 8 = <<7+8=15>>15 customers order the 4 egg omelettes. To make the 3 egg omelettes, Theo needs 3 x 8 = <<3*8=24>>24 eggs. To make the 4 egg omelettes, Theo needs 15 x 4 = <<15*4=60>>60 eggs. To make all the omelettes, he needs 24 + 60 = <<24+60=84>>84 eggs. #### 84 Carly is overnight shipping some fresh-baked cookies to her grandma. The shipping cost is equal to a flat $5.00 fee plus $0.80 per pound of weight. If the package weighs 5 pounds, how much does Carly pay for shipping? First calculate the weight-based charge by multiplying the package's weight in pounds by the price per pound: 5 pounds * $0.80/pound = $<<5*0.80=4.00>>4.00 Then add the weight-based charge to the flat fee to find the total cost: $4.00 + $5.00 = $<<4+5=9.00>>9.00 #### 9 Ava planted 9 apple trees in her backyard. That's 3 more than Lily planted in her backyard. How many apple trees did they plant in their backyards collectively? Lily planted 9-3 = <<9-3=6>>6 apple trees in her backyard. They planted 9+6 = <<9+6=15>>15 apple trees in their backyards collectively. #### 15 It’s Meghan’s turn to pick up her team's coffee order. She needs 2 drip coffees that are $2.25 each and one double shot espresso that’s $3.50. She needs 2 lattes that are $4.00 and needs to add vanilla syrup to one of those for an additional $0.50. She also needs 2 cold brew coffees that are $2.50 each and 1 cappuccino for $3.50. How much is the coffee order? She needs 2 drip coffees that are $2.25 each so 2*2.25 = $<<2*2.25=4.50>>4.50 She needs 2 lattes that are $4.00 each so 2*4 = $<<2*4=8.00>>8.00 She needs 2 cold brew coffees that are $2.50 each so 2*2.50 = $<<2*2.50=5.00>>5.00 So the drips are $4.50, lattes are $8.00 plus $0.50 for syrup, cold brew is $5.00, a double shot for $3.50 and a cappuccino for $3.50 for a total of 4.50+8.00+.50+5.00+3.50+3.50 = $<<4.50+8.00+.50+5.00+3.50+3.50=25.00>>25.00 #### 25