In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

If Rehana is currently 25 years old, she will be 25+5=

<<25+5=30>>30 in five years. Rehana will be three times as old as Phoebe in five years, meaning Phoebe will be 30/3=10 years old in five years. Currently, Phoebe is 10-5=<<10-5=5>>5 years old. 3/5 of Phoebe's age now is 3/5*5=<<3/5*5=3>>3 years, which is Jacob's age. #### 3 A cougar is sleeping for 4 hours at night, and a zebra for 2 hours more. How much time do both animals sleep in one week? The zebra sleeps for 4 + 2 = <<4+2=6>>6 hours. During one week, the cougar sleeps 4 * 7 = <<4*7=28>>28 hours. And the zebra sleeps 6 * 7 = <<6*7=42>>42 hours. Both animals sleep for 28 + 42 = <<28+42=70>>70 hours during one week. #### 70 Nancy is crafting clay pots to sell. She creates 12 clay pots on Monday, twice as many on Tuesday, a few more on Wednesday, then ends the week with 50 clay pots. How many did she create on Wednesday? On Tuesday, Nancy creates 12 clay pots * 2 = <<12*2=24>>24 clay plots. So she created a combined total of 12 + 24 = <<12+24=36>>36 clay pots on Monday and Tuesday. Subtracting this from the number of clay pots she ended the week with means she must have created 50 – 36 = <<50-36=14>>14 clay pots on Wednesday. #### 14 There are four growing trees. The first tree grows 1 meter/day, the second grows the same amount in half the time, the third grows 2 meters/day, and the fourth tree grows a meter more than the third each day. How many meters did the trees grow in total in 4 days? The second tree grows 1*2 = <<1*2=2>>2 meters a day. The fourth tree grows 2+1 = <<2+1=3>>3 meters a day. The first tree grows 4*1 = <<4*1=4>>4 meters in 4 days. The second tree grows 2*4 = <<2*4=8>>8 meters in 4 days. The third tree grows 2*4 = <<2*4=8>>8 meters in 4 days. The fourth tree grows 3*4 = <<3*4=12>>12 meters in 4 days. In 4 days, all four trees grew 4+8+8+12 = <<4+8+8+12=32>>32 meters combined. #### 32 Yuko likes to play board games. He decides to play a game with his brother Yuri. They must roll 3 dice at the same time and move the squares corresponding to the value of the 3 dice. Yuri started and his dice had the following combination: 2, 4, and 5. On Yuko's turn, he rolled 1, 5, and X. How many squares must Yuko's last die move him so that he is in front of his brother? The sum of Yuri's dice gave, 2 + 4 + 5 = <<2+4+5=11>>11 squares. For Yuko to get the same sum in the dice, 1 + 5 + X = 11 squares. Solving the equation, X = 11 - 6, X = <<11-6=5>>5 squares. To stand in front of his brother, Yuko needs to be at least 1 place in front, so his last die will move him, 5 + 1 = <<5+1=6>>6 squares. #### 6 James does chores around the class. There are 3 bedrooms, 1 living room, and 2 bathrooms to clean. The bedrooms each take 20 minutes to clean. The living room takes as long as the 3 bedrooms combined. The bathroom takes twice as long as the living room. He also cleans the outside which takes twice as long as cleaning the house. He splits the chores with his 2 siblings who are just as fast as him. How long, in hours, does he work? It takes 3*20=<<3*20=60>>60 minutes to clean the living room So it is 60/60=<<60/60=1>>1 hour The bathroom takes 1*2=<<1*2=2>>2 hours So all together the inside takes 1+1+2=<<1+1+2=4>>4 hours The outside takes 4*2=<<4*2=8>>8 hours So the chores take 4+8=<<4+8=12>>12 hours He splits it 1+2=<<1+2=3>>3 ways So he works 12/3=<<12/3=4>>4 hours #### 4 In a yard, the number of tanks is five times the number of trucks. If there are 20 trucks in the yard, calculate the total number of tanks and trucks in the yard. There are 5*20 = <<5*20=100>>100 tanks in the yard. Altogether, there are 100+20 = <<100+20=120>>120 trucks and tanks in the yard. #### 140 Zoe goes to the store to buy soda and pizza for herself and her 5 family members. Each bottle of soda costs half a dollar and each slice of pizza costs $1. Before she leaves her house she takes just enough money to pay for her purchase. How much money did Zoe take? Zoe is going to buy pizza and soda for 5 people + 1 person = <<5+1=6>>6 people. For 6 sodas, Zoe will pay 6 sodas * $0.5/soda = $<<6*0.5=3>>3 For 6 slices of pizza, she will pay 6 slices * $1/slice = $<<6*1=6>>6 Adding the price of the soda and pizza, Zoe paid $3 + $6 = $<<3+6=9>>9 #### 9 This morning, farmer Rita's workers collected 30,000 gallons of milk and chilled it in a storage tank. They then spent the next 4 hours pumping milk at a rate of 2,880 gallons/hour from the storage tank into a milk tanker. For the next 7 hours, the workers added more milk into the storage tank, at a rate of 1,500 gallons per hour. How many gallons of milk were left in the storage tank? In the first 4 hours, the milk tanker got 4 hours * 2880 gallons/hour = <<4*2880=11520>>11,520 gallons Thus, the storage tank was left with 30,000 gallons - 11,520 gallons = <<30000-11520=18480>>18,480 gallons. For the next 7 hrs, the workers added 1,500 gallons/hour * 7 hours = <<1500*7=10500>>10,500 gallons The total therefore is 18,480 gallons + 10,500 gallons = <<18480+10500=28980>>28,980 gallons #### 28,980 A seminar is offered to a school for their teachers. The regular seminar fee is $150 but they offer a 5% discount if they register 2 days before the scheduled seminar. The school registered 10 teachers for the seminar a week before the schedule and it also released a $10 food allowance for each of the teachers. How much did the school spend in all? The school got a $150 x 5/100 = $<<150*5/100=7.50>>7.50 seminar fee discount for each teacher. Each teacher's seminar fee costs $150 - $7.50 = $<<150-7.5=142.50>>142.50. So, ten teachers' seminar fees cost $142.50 x 10 = $1425. The food allowance for 10 teachers amounts to $10 x 10 = $<<10*10=100>>100. Therefore, the school spent a total of $1425 + $100 = $<<1425+100=1525>>1525. #### 1525