There are 64 seventh graders at a middle school. This is 32% of the students at the school. The sixth graders comprise 38% of the students. How many sixth graders attend middle school?

Let X be the number of students in the middle school. There are X*32% = 64 seventh graders.

So there are X = 64 / 0.32 =

<<64/0.32=200>>200 students at the school. And there are 200 *38% = <<200*38*.01=76>>76 sixth graders. #### 76 Julie started her own landscaping business. She charges $4 an hour for mowing lawns and $8 for pulling weeds. In September she mowed lawns for 25 hours and pulled weeds for 3 hours. If she worked the same number of hours in October, how much money did she earn in September and October? She mowed lawns for 25 hours in September, so earned 25 * $4= $<<25*4=100>>100. She pulled weeds for 3 hours in September, so earned 3 * $8= $<<3*8=24>>24. She earned $100 + $24 = $<<100+24=124>>124 in September. Finally, for two months working the same hours she earned $124 * 2 = $<<124*2=248>>248. #### 248 A store owner repacked his oils into 200 mL bottles. He was able to make 20 bottles. How many liters of oil did the store owner have? Twenty bottles of oil is equal to 200 mL x 20 = <<20*200=4000>>4000 mL. Since 1 liter is equal to 1000 mL, then the store owner had 4000/1000 = <<4000/1000=4>>4 liters of oil. #### 4 If 2 machines in a factory make 10 cell phones each minute, how many machines would it take to make 50 cell phones a minute? First, we need to determine how many cell phones each machine makes per minute. We do this by performing 10/2= <<10/2=5>>5 cell phones each minute per machine. Next, we determine how many machines are needed in total by dividing the desired outcome of 50 by the rate of production of an individual machine, finding 50/5=<<50/5=10>>10 machines needed. #### 10 Hillary's teacher assigned 1 hour of reading during the weekend. On Friday night, Hillary read for 16 minutes. On Saturday she read for 28 minutes. How many minutes does Hillary have to read on Sunday to complete the assignment? Hillary needs to read for 1 hour which equals 60 minutes. Hillary has read for a total of 16 minutes + 28 = <<16+28=44>>44 minutes so far. Hillary will need to read for 60 minutes - 44 = <<60-44=16>>16 minutes on Sunday. #### 16 Eunice spent $7500 on a used car, which is 25% less than the original price. What was the original price of the car? The price $7500 is 100% - 25% = 75% of the original price. So, every 1% is equal to $7500/75% = $100. Hence, the original price is equal to $100/1% x 100% = $10000. #### 10000 If eight movie tickets cost 2 times as much as one football game ticket, and each movie ticket is sold at $30, calculate the total amount of money Chandler will pay if he buys eight movie tickets and five football game tickets. If each movie ticket is sold at $30, the cost of buying eight movie tickets is 8*$30 = $<<8*30=240>>240 Since eight movie tickets cost 2 times as much as one football game ticket, the cost of buying one football game ticket is $240/2 = $<<240/2=120>>120 Buying five football game tickets will cost 5*$120 = $<<5*120=600>>600 The total cost of buying eight movie tickets and five football game tickets is $600+$240 = $840 #### 840 Jenny wants to sell some girl scout cookies and has the choice of two neighborhoods to visit. Neighborhood A has 10 homes which each will buy 2 boxes of cookies. Neighborhood B has 5 homes, each of which will buy 5 boxes of cookies. Assuming each box of cookies costs $2, how much will Jenny make at the better choice of the two neighborhoods? First, we need to determine which neighborhood is the better choice by comparing the number of boxes sold. A has 10 houses which will buy 2 boxes each, meaning A will give Jenny 10*2=<<10*2=20>>20 box sales Neighborhood B has 5 homes which will each buy 5 boxes, meaning she will sell 5*5=<<5*5=25>>25 boxes by going to that neighborhood. Since 25>20, this means Jenny should choose neighborhood B. Since Jenny earns $2 per box sold, this means she will earn 25*2=<<25*2=50>>50 dollars by choosing neighborhood B. #### 50 Tommy is looking at his change collection. He has 10 more dimes than pennies. He has twice as many nickels as dimes. He has 4 quarters. He has 10 times as many pennies as quarters. How many nickels does he have? Tommy has 40 pennies because 10 x 4 = <<10*4=40>>40 Tommy has 50 dimes because 40 + 10 = <<40+10=50>>50 Tommy has 100 nickels because 50 x 2 = <<50*2=100>>100 #### 100 Casey is pumping water out of her well. She can pump 3 gallons a minute. She has 4 rows of 15 corn plants each, and each plant needs half a gallon of water. She also has 10 pigs, which each need 4 gallons of water, and 20 ducks that each need a quarter of a gallon of water. How many minutes does Casey need to spend pumping water? First find how many corn plants there are: 15 plants/row * 4 rows = <<15*4=60>>60 plants Then find how many gallons of water of the corn needs: 60 plants * 1/2 gallon/plant = <<60*1/2=30>>30 gallons Then find how many gallons of water the pigs need: 10 pigs * 4 gallons/pig = <<10*4=40>>40 gallons Then find how many gallons of water the ducks need: 20 ducks * 1/4 gallon/duck = <<20*1/4=5>>5 gallons Now add up all three quantities of water to find the total water needed: 5 gallons + 40 gallons + 30 gallons = <<5+40+30=75>>75 gallons Now divide the total water needed by Casey's pumping rate to find how long she spends pumping: 75 gallons / 3 gallons/minute = <<75/3=25>>25 minutes #### 25