Samantha sleeps an average of 8 hours a night. Her baby sister sleeps 2.5 times as much as Samantha does. Because her father is so tired from watching the baby, for every hour the baby sleeps, he sleeps 30 minutes. How many hours does her father sleep in a week?

The baby sleeps 20 hours a day because 2.5 x 8 =

<<2.5*8=20>>20 The baby sleeps 2 times as much as the father because 60 / 30 = <<60/30=2>>2 The father sleeps 10 hours a night because 20 / 2 = <<20/2=10>>10 The father sleeps for 70 hours a week because 7 x 10 = <<7*10=70>>70 #### 70 The school is hosting a race after school. The winner is the person who runs the most laps around the school in 12 minutes. One lap around the school is 100 meters. The winner is awarded a gift certificate equal to $3.5 for every one hundred meters they run. The winner runs 24 laps around the school. On average, how much did they earn per minute? They ran 2,400 meters because 24 laps x 100 m/lap = <<24*100=2400>>2400 m They ran 200 meters per minute because 2400 m / 12 min = <<2400/12=200>>200 m/min For every minute they ran they earned an average of $7 because $3.5/100m x 200 m/min = $<<3.5/100*200=7>>7/min #### 7 Milly and Floretta are having a water balloon fight in their garden. They use 3 packs of their own water balloons and also use 2 packs of a neighbor’s water balloons. Each pack of water balloons contains 6 balloons. Milly and Floretta fill all of the balloons then split them evenly, but Milly takes an extra 7 balloons when Floretta isn't looking. How many water balloons is Floretta left with? Milly and Floretta have a total of 3 packs of their own water balloons + 2 packs of the neighbor’s water balloons = <<3+2=5>>5 packs of water balloons. So there is a total of 5 packs of water balloons * 6 balloons per pack of water balloons = <<5*6=30>>30 water balloons available. As they split them evenly, they each have 30 water balloons / 2 = <<30/2=15>>15 water balloons. After Milly steals some balloons, Floretta is left with 15 – 7 = <<15-7=8>>8 water balloons. #### 8 Two runners are competing in a 10-mile race. The first runs at an average pace of 8 minutes per mile, while the second runs at an average pace of 7 minutes per mile. After 56 minutes, the second runner stops for a drink of water. For how many minutes could the second runner remain stopped before the first runner catches up with him? After 56 minutes, the second runner has traveled 56/7 = <<56/7=8>>8 miles. Similarly, the first runner has traveled 56/8 = <<56/8=7>>7 miles. Therefore, the two runners are 8 - 7 = <<8-7=1>>1 mile apart when the second runner stops. Thus, the second runner can stop for a maximum of 8 minutes, which is the amount of time it takes the first runner to travel 1 mile. #### 8 Lucy has been trying new recipes and wants to make sure she keeps the cupboard stocked with ingredients. She had a 500g bag of flour in the cupboard at the start of the week. She used 240g when she baked cookies on Tuesday, and accidentally spilled half of what was left when she was putting the flour away. If Lucy wants a full bag of flour in the cupboard, how much flour does she need to buy, in grams? After baking cookies, Lucy had 500 – 240 = <<500-240=260>>260g of flour left. She accidentally spilled half of this, which means she had 260 * 0.5 = <<260*0.5=130>>130g of flour left. She therefore needs 500 – 130 = <<500-130=370>>370g of flour. #### 370 John is trying to save money by buying cheap calorie-dense food. He can buy 10 burritos for $6 that have 120 calories each. He could also buy 5 burgers that are 400 calories each for $8. How many more calories per dollar does he get from the burgers? The burritos have 10*120=<<10*120=1200>>1200 calories That means he gets 1200/6=<<1200/6=200>>200 calories per dollar The burgers get 5*400=<<5*400=2000>>2000 calories So he gets 2000/8=<<2000/8=250>>250 calories per dollar So he gets 250-200=<<250-200=50>>50 more calories per dollar from the burgers #### 50 Cristine bought a dozen lemons and gave 1/4 of them to her neighbor. How many lemons does Cristine have left? Cristine bought 1 x 12 = <<1*12=12>>12 lemons. She gave 12 x 1/4 = <<12*1/4=3>>3 lemons to her neighbor. So, Cristine is left with 12 - 3 = <<12-3=9>>9 lemons. #### 9 John receives $100 from his uncle and gives his sister Jenna 1/4 of that money. He goes and buys groceries worth $40. How much money does John have remaining? When John gives his sister 1/4 of his money, he parts with 1/4*100 = <<1/4*100=25>>25 dollars Johns remains with 100-25 = <<100-25=75>>75 dollars. When he buys groceries worth $40, he remains with 75-40 = <<75-40=35>>35 dollars #### 35 Penn operates an ice cream stall for a week. On the first day, she made $10. Every day after that, she made $4 more than the previous day. How much money did Penn make after 5 days? On the second day, Penn made $10 + $4 = $<<10+4=14>>14. On the 3rd day, she made $14 + $4 = $<<14+4=18>>18. On the 4th day , she made $18 + $4 = $22. On the 5th day, she made $22 + $4 = $<<22+4=26>>26. After 5 days, Penn made a total of $10 + $14 + $18 + $22 + $26 = $<<10+14+18+22+26=90>>90. #### 90 Lewis found 4 more items on the scavenger hunt than Samantha. Samantha found four times the amount of items than Tanya who was only able to find 4 items. How many items did Lewis find? Samantha found 4 times the amount of items as Tanya’s 4 items so Samantha found 4*4 = <<4*4=16>>16 items Lewis found 4 more items than Samantha who found 16 so he found 4+16 = <<4+16=20>>20 items #### 20