Joyce, Michael, Nikki, and Ryn have a favorite movie. Joyce's favorite movie is 2 hours longer than Michael's movie. Nikki's movie is three times as long as Michael's movie, and Ryn's favorite movie is 4/5 times as long as Nikki's favorite movie. If Nikki's favorite movie is 30 hours long, calculate the total number of hours of their favorite movies together.

Since Nikki's favorite movie is 30 hours long, Ryn's favorite movie is 4/5*30=

<<30*4/5=24>>24 hours long. The total number of hours for Nikki's and Ryn's favorite movies is 24+30 = <<24+30=54>>54 hours long. Nikki's movie is also three times as long as Michael's favorite movie, meaning Michael's favorite movie is 30/3 = <<30/3=10>>10 hours long. Together, Nikki, Ryn, and Michael's favorite movies are 54+10 = <<54+10=64>>64 hours long. If Joyce's favorite movie is 2 hours longer than Michael's favorite movie, then her favorite movie is 10+2 = <<2+10=12>>12 hours long. The length of Nikki, Ryn, Michael, and Joyce's favorite movies is 64+12 = <<64+12=76>>76 hours. #### 76 The cost of filling a car fuel tank is $45, and this can take you 500 miles before refilling. Mallory was going to her grammy's house, 2000 miles away. If she used 3/5 times as much money on food as she spent on filling the car fuel tank for the whole journey, calculate the total amount of money she used. If Mallory gammy's house is 2000 miles away and she has to refill the fuel tank every 500 miles, she filled the tank 2000/500 = <<2000/500=4>>4 times. If each refill costs $45, the total amount of money she used on refilling the tank is $45*4 = $<<45*4=180>>180 The food cost was 3/5 times as much as the fuel costs, which is 3/5*$180 = $<<3/5*180=108>>108 On the whole journey, Mallory expenses on fuel and food costs are $108+$180 = $<<108+180=288>>288 #### 288 Krystiana owns an apartment building. The rooms on the first floor cost $15 per month and the rooms on the 2nd floor cost $20 per month. The rooms on the third floor cost twice as much as the rooms on the first floor, but only two rooms are occupied. If each floor has 3 rooms, how much does Krystiana earn every month? Krystiana earns $15 x 3 = $<<15*3=45>>45 for the rooms on the first floor every month. She earns $20 x 3 = $<<20*3=60>>60 for the rooms on the second floor every month. And the cost for each room on the third floor is $15 x 2 = $<<15*2=30>>30. So, the total amount she earns for the rooms on the third floor is $30 x 2 = $<<30*2=60>>60 every month. Therefore, the total amount she earns from the apartment building is $60 + $60 + $45 = $<<60+60+45=165>>165. #### 165 Steve has 400 new emails in his inbox. He moves half of them to the trash, and 40 percent of the remaining emails to his work folder. How many emails are left in the inbox? Trash:400/2=<<400/2=200>>200 400-200=<<400-200=200>>200 remaining Work:200(.40)=80 200-80=<<200-80=120>>120 remaining #### 120 20 kids in preschool are ready for a nap. 1/2 of the kids fall asleep within the first 5 minutes. Then half of the kids remaining fall asleep within another 5 minutes. How many kids are still awake? In a class with 20 kids, 1/2 of the students have already fallen asleep so 20/2 = <<20/2=10>>10 kids are already asleep We start with 20 kids awake and 10 are already asleep so 20- 10 = <<20-10=10>>10 kids are still awake 1/2 of these 10 kids fall asleep next meaning there are 10/2 = <<10/2=5>>5 students still awake #### 5 A machine at the soda factory can usually fill a barrel of soda in 3 minutes. However this morning a leak went unnoticed and it took 5 minutes to fill one barrel. If the leak remains undetected, how much longer will it take to fill 12 barrels of soda than on a normal day when the machine works fine? On a regular day it would take 3*12=<<3*12=36>>36 minutes With the leak it will take 5*12=<<5*12=60>>60 minutes It will take 60-36=<<60-36=24>>24 more minutes if the leak goes undetected #### 24 Erika and her brother Rick want to buy a gift for their mother that costs $250. They have both saved money. Erika saved $155 and her brother saved only half of the cost of the gift. They also want to surprise their mother with a birthday cake that costs $25. How much money will they have left after buying their mother a gift and cake? Rick's savings are half the price of the gift, which is $250/2 = $<<250/2=125>>125. The total savings for the two siblings is $155 + $125 = $<<155+125=280>>280. Mom's gift costs $250 + $25 for the cake = $<<250+25=275>>275 Subtracting the total cost of the gift from the total savings, we get $280 - $275 = $<<280-275=5>>5 left. #### 5 There are 6 dogs and 2 ducks in the garden. How many feet are there in the garden? 6 dogs have 6 x 4 = <<6*4=24>>24 feet. 2 ducks have 2 x 2 = <<2*2=4>>4 feet In total there are 24 + 4 = <<24+4=28>>28 feet in the garden #### 28 Lara was 9 years old 7 years ago. How old will she be 10 years from now? Lara is 9 + 7 = <<9+7=16>>16 years old now. Thus, she will be 16 + 10 = <<16+10=26>>26 years old 10 years from now. #### 26 A bag of chips weighs 20 ounces, and a tin of cookies weighs 9 ounces. If Jasmine buys 6 bags of chips and 4 times as many tins of cookies, how many pounds does she have to carry? Jasmine’s bags of chips weigh 20*6 = <<20*6=120>>120 ounces. Jasmine buys 6*4 = <<6*4=24>>24 tins of cookies. Jasmine’s tins of cookies weigh 9*24 = <<9*24=216>>216 ounces. She has to carry 120+216=<<120+216=336>>336 ounces. She has to carry 336/16=<<336/16=21>>21 pounds. #### 21