Porter earns $8 per day and works 5 times a week. His manager is asking him to work an extra day that promises him an extra fifty percent on top of his daily rate. How much money will he earn after a month if he renders overtime every week?
Porter's weekly earning is $8x5 = $
<<8*5=40>>40. Porter's monthly earning is $40x4= $<<40*4=160>>160. The extra amount he will earn when he works on his overtime is $8 x 50/100 = $<<8*50/100=4>>4. So the amount he will earn on his overtime is $8 + $4 = $<<8+4=12>>12. Since he will render overtime once every week, the total overtime pay he will earn in a month is $12 x 4 = $<<12*4=48>>48. Therefore the total money he will earn in a week is $160+$48 = $<<160+48=208>>208. #### 208 Howard is taking his kindergarten class to the museum on a school trip. He splits the class equally into 3 groups and then each of the groups goes through the museum one student at a time. If the class has 18 students in total and each student takes 4 minutes to go through the museum, then how long, in minutes, does it take each group to go through the museum? As the groups are equally sized, they must each have 18 students in the class / 3 groups = <<18/3=6>>6 students in each group. So each group takes 6 students in each group * 4 minutes per each student’s trip = <<6*4=24>>24 minutes to go through the museum. #### 24 There are 60 ridges on a vinyl record. Jerry has 4 cases, each with 3 shelves that can hold 20 records each. If his shelves are 60% full, how many ridges are there on all his records? First find the total number of records that can fit on all the shelves: 4 cases * 3 shelves/case * 20 records/shelf = <<4*3*20=240>>240 records Then multiply that number by 60% to find the number of records actually on the shelves: 240 records * 60% = <<240*60*.01=144>>144 records Then multiply that number by 60 to find the number of ridges on all the records: 144 records * 60 ridges/record = <<144*60=8640>>8640 ridges #### 8640 A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours? It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = <<120/4=30>>30 liters/hour. After 3 hours, the drain will have removed 3 * 30 = <<3*30=90>>90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = <<120/6=20>>20 liters/hour. After 3 hours, the hose will have added 3 * 20 = <<3*20=60>>60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters – 90 liters = <<120+60-90=90>>90 liters of water left in the pool. #### 90 There are five times as many swordfish as pufferfish in an aquarium exhibit. If there are 90 fish total, how many pufferfish are there? Let s be the number of swordfish and p be the number of pufferfish. We know that s = 5p and s + p = 90. Substituting the first equation into the second equation, we get 5p + p = 90 Combining like terms, we get 6p = 90 Dividing both sides by 6, we get p = 15 #### 15 Alex has 4 pens in the first week of a month. Every week her pen collection doubles. How many more pens will Alex have than Jane if Jane will have 16 pens after a month? If Alex has 4 pens in the first week of a month, she will have 4*2 = <<4*2=8>>8 pens in the second week. After her pen collection doubles in the third week, Alex will have 2*8 = <<2*8=16>>16 pens. In the last week of the month, Alex will have 2*16 = <<2*16=32>>32 pens after her pen collection. If Jane has 16 pens after a month, Alex will have 32-16 = <<32-16=16>>16 more pens than Jane. #### 16 Kathleen saved $21 in June, $46 in July, and $45 in August. Then Kathleen spent $12 on school supplies and $54 on new clothes. Kathleen’s aunt said she would give Kathleen $25 if Kathleen saves more than $125. How much money does Kathleen have left? Kathleen saved $21 + $46 + $45 = $<<21+46+45=112>>112. Kathleen’s aunt did not give Kathleen any money because $112 is not greater than $125. Kathleen spent $12 + $54 = $<<12+54=66>>66. Kathleen has $112 - $66 = $<<112-66=46>>46 remaining. #### 46 Jim is a maintenance worker at a pool. Every time someone jumps in the pool, they cause 400 ml of water to splash out and evaporate. Jim has to get everyone out of the pool, clean, and refill it when it gets below 80% full. If the pool holds 2000 L of water, how many times can people jump in the pool before Jim has to clean it? First figure out how many liters of water are left in the pool when it's 80% full: 2000L * .8 = <<2000*.8=1600>>1600 L Now subtract that amount from the pool's total capacity to find how much water can splash out before Jim has to refill it: 2000 L - 1600 L = <<2000-1600=400>>400 L Now multiply that amount by 1000 to convert it to milliliters: 400 L * 1000 ml/L = <<400*1000=400000>>400,000 ml Finally, divide that amount by the amount that splashes out with each jump to find the number of jumps before pool cleaning: 400,000 ml / 400 ml/jump = <<400000/400=1000>>1000 jumps #### 1000 Rocky boxed 190 fights in his career. 50 percent of his fights were knockouts, and 20 percent of the knockouts were in the first round. How many knockouts did Rocky have in the first round? Knockouts:190(.50)=95 First Round:95(.2)=19 #### 19 Tim buys 3 loaves of bread. Each loaf of bread has 20 slices. He pays for the 3 loaves of bread with 2 $20 bills. He gets $16 change. How much does each slice cost, in cents? He gave 2*20=$<<2*20=40>>40. So the total cost was 40-16=$<<40-16=24>>24. That means each slice costs 24/3=$<<24/3=8>>8. That means it costs 8*100=<<8*100=800>>800 cents. So each slice is 800/20=<<800/20=40>>40 cents. #### 40