The water pressure of a sink has a steady flow of 2 cups per 10 minutes for the first 30 minutes. It still flows at 2 cups per 10 minutes for the next 30 minutes after. For the next hour, the water pressure maximizes to 4 cups per 10 minutes and stops. Shawn now has to dump half of the water away. How much water is left?
For the first 30 minutes, 3*2=
<<3*2=6>>6 cups of water came out. For the next 30 minutes, 3*2=<<3*2=6>>6 cups of water came out. For the next hour, 6*4=<<6*4=24>>24 cups of water came out. A total of 6+6+24=<<6+6+24=36>>36 cups of water came out. Shawn had to dump water which left 36/2=<<36/2=18>>18 cups of water. #### 18 At a shop in Japan, women's T-shirts are sold every 30 minutes for $18, and men's T-shirts are sold every 40 minutes for $15. This shop is open from 10 am until 10 pm. How much does the shop earn selling T-shirts per week? First, the shop is open 12 hours * 60 minutes = <<12*60=720>>720 minutes per day. So, 720 / 30 = <<720/30=24>>24 women's T-shirts sold per day. The shop earns 24 * $18 = $<<24*18=432>>432 selling women's T-shirts per day. Similarly, 720 / 40 = <<720/40=18>>18 men's T-shirts are sold per day. The shop earns 18 * $15 = $<<18*15=270>>270 selling men's T-shirts per day. The shop earns $432 + $270 = $<<432+270=702>>702 per day selling T-shirts. The shop earns $702 * 7 = $<<702*7=4914>>4914 per week. #### 4914 To get admission into a school party, each football team member must pay $40. If there are 60 players on the football team and the entire team attends 8 such parties in a year, calculate the total amount of money collected in the 8 parties. In one party, the total amount of money collected from the football players is $40*60= $<<40*60=2400>>2400 If eight such parties are done in a year, the total amount of money collected from the parties is $2400*8 = $<<2400*8=19200>>19200 #### 19200 Wendy went to the dentist for a cleaning, two fillings, and a tooth extraction. The dentist charges $70 for a cleaning and $120 for a filling. Wendy’s dentist bill was five times the cost of a filling. What did Wendy pay for the tooth extraction? Wendy’s dentist bill was 5 * $120 = $<<5*120=600>>600. She got two fillings at a cost of 2 * $120 = $<<2*120=240>>240. Thus, Wendy paid $600 - $240 - $70 = $<<600-240-70=290>>290 for the tooth extraction. #### 290 Jeff wanted to rent an apartment to live in for the next 5 years until he finishes his studies. He found a nice apartment next to his school, the owner asks Jeff to pay $300 each month, Jeff agreed, and for the first 3 years everything went fine, but then the owner wanted to raise the price for each month to $350. Jeff agreed again and continued paying until he graduated. How much did Jeff end up paying for the apartment throughout the 5 years? At first Jeff paid, $300/month x 12 months = $<<300*12=3600>>3,600/year He paid $3,600/year x 3 years = $10,800 the firsts 3 years. The final 2 years he paid $350/month x 12 months = $<<350*12=4200>>4,200/year He paid $4,200/year x 2 years = $<<4200*2=8400>>8,400 the last 2 years. He paid the owner $10,800 + $8,400 = $<<10800+8400=19200>>19,200 in total. #### 19200 Reese had a sum of money in her savings account. The company she used to work with was not doing well which is why she lost her job. So she spent 20% of her savings for her expenses in February, 40% of it in March, and $1500 in April. How much did she have in her savings account if she still has $2900 after spending those amounts? The total percentage of money that Reese spent in February and March is 20% + 40% = 60%. This means the April expenses and the money left in her account make up 100% - 60% = 40% of her savings. Reese had $2900 + $1500 = $<<2900+1500=4400>>4400 for the April expenses and the money left in her account. So, $4400 is equal to 40% which means every 1% is equal to $4400/40 = $<<4400/40=110>>110. Therefore, Reese originally had $110 x 100 = $<<110*100=11000>>11000 in her savings account. #### 11000 Josh gets together with 7 friends. Everyone including him puts 5 dollars into a pot. First place gets 80% of the money. Second and third place split the rest. How much money does third place get? 7+1=<<7+1=8>>8 people threw money into the pot. So the amount of money in the pot is 8*5=$<<8*5=40>>40. First place gets 40*.8=$<<40*.8=32>>32 So there is 40-32=$<<40-32=8>>8 left in the pot after first place gets his cut So third place gets 8/2=$<<8/2=4>>4 #### 4 On Friday, Hank opened his used-bicycle store with a stock of bicycles, all fixed-up and ready to ride. Over the course of the day, he sold 10 bicycles and bought an additional 15 to fix up. On Saturday, he sold 12 bicycles and bought 8 more. And on Sunday, he sold 9 bicycles and bought 11 more. What was the net increase in the number of bicycles in stock in Hank's store over the three days? He sold 10+12+9=<<10+12+9=31>>31 bicycles. He bought 15+8+11=<<15+8+11=34>>34 bicycles. He now has 34-31=<<34-31=3>>3 more than at Friday's opening. #### 3 Alicia has to buy some books for the new school year. She buys 2 math books, 3 art books, and 6 science books, for a total of $30. If both the math and science books cost $3 each, what was the cost of each art book? The total cost of maths books is 2*3 = <<2*3=6>>6 dollars The total cost of science books is 6*3 = <<6*3=18>>18 dollars The total cost for maths and science books is 6+18 = <<6+18=24>>24 dollars The cost for art books is 30-24 = <<30-24=6>>6 dollars. Since he bought 3 art books, the cost for each art book will be 6/3 = 2 dollars #### 2 Half of Jerome's money was $43. He gave $8 to Meg and thrice as much to Bianca. How much does Jerome have left? Jerome has $43 x 2 = $<<43*2=86>>86. After giving Meg $8, he had only $86 - $8 = $<<86-8=78>>78 left. Then he gave Bianca $8 x 3 = $<<8*3=24>>24. So, Jerome has only $78 - $24 = $<<78-24=54>>54 left. #### 54