A pipe is clogged so that only 2 ounces of cleaner can run through the pipe per minute. After fifteen minutes, the cleaner has unclogged it enough that 3 ounces can run through per minute. Ten minutes later, the clog is cleared enough for 4 ounces to run through per minute. How many ounces of cleaner were used after 30 minutes?

For 15 minutes at 2 ounces per minute, 2 * 15 =

<<2*15=30>>30 ounces were used. For the next 10 minutes at 3 ounces per minute, 3 * 10 = <<3*10=30>>30 ounces were used. There are 30 - 15 - 10 = <<30-15-10=5>>5 minutes remaining. For the next 5 minutes at 4 ounces per minute, 4 * 5 = <<4*5=20>>20 ounces were used. After 30 minutes, 30 + 30 + 20 = <<30+30+20=80>>80 ounces of cleaner were used. #### 80 Four tires and one battery together cost $224. Each tire costs $42. Calculate the price of the battery. Four tires cost $42 x 4 = $<<42*4=168>>168. So, the price of the battery is $224 - $168 = $<<224-168=56>>56. #### 56 A neighborhood association decided to plant a tree on every street. There are eighteen streets in the neighborhood. The association wanted every other tree to be a fruit tree, and they agreed to plant equal numbers of plum, pear, and apricot trees. How many of each kind of tree will they plant? Every other tree is half the trees, so there will be 18 / 2 = <<18/2=9>>9 fruit trees planted. The association is planting three kinds of fruit trees, so they will plant 9 / 3 = <<9/3=3>>3 of each kind of tree. #### 3 Peggy is moving and is looking to get rid of her record collection. Sammy says that he will buy all of them for 4 dollars each. Bryan is only interested in half of the records but will offer 6 dollars each for the half that he is interested in and 1 dollar each for the remaining half that he is not interested in with the hopes that he can resell them in bulk later. If Peggy has 200 records, what is the difference in profit between Sammy versus Bryan's deal? Sammy is offering to take the whole collection of 200 records and pay Peggy 4 dollars each for them which would net Peggy 200 * 4=<<200*4=800>>800 dollars for her entire record collection. Bryan is willing to buy Peggy's entire record collection but at two different price points, half at one point and half at another. Half of Peggy's record collection is 200/2=<<200/2=100>>100, which means that 100 records will sell for one price and 100 records will sell for another price. Bryan is willing to pay more for the half of the record collection that he is interested in so Peggy would net 100 * 6=<<100*6=600>>600 dollars for the first half of her record collection. For the half of the collection that Bryan is just planning on reselling at a later date, he is willing to offer Peggy 100 *1=<<100*1=100>>100 dollars to take off of her hands. In total Bryan is willing to offer Peggy 600+100=<<600+100=700>>700 dollars for her entire record collection. If Sammy is offering 800 dollars to buy Peggy's entire record collection and Bryan is offering 700 dollars for Peggy's entire record collection, then Peggy's net profit would be 800-700=<<800-700=100>>100 dollars more by taking Sammy's deal instead of Bryan's deal. #### 100 Each month, Diego deposits his $5,000 paycheck into a bank account, which he then uses for all of his expenses, which amount to $4,600 per month. How much, in dollars, does Diego save over the course of a year? Each month, he saves $5000-$4600=$<<5000-4600=400>>400. And 12*$400=$<<12*400=4800>>4800. #### 4800 Jack bought an ice cream cone before jogging to the beach. If the ice cream cone will melt in 10 minutes, the beach is 16 blocks away, and each block is 1/8th of a mile, how fast does Jack need to jog (in miles per hour) to get to the beach before the ice cream melts? First find the total distance to the beach: 16 blocks * 1/8 mile/block = <<16*1/8=2>>2 miles Then find how long in hours Jack has to get to the beach: 10 minutes / 60 minutes/hour = 1/6 hour Then divide the distance Jack needs to cover by the time in hours he has to find how fast he needs to jog: 2 miles / 1/6 hour = 12 miles/hour #### 12 Annie likes to eat cookies. She ate 5 cookies on Monday, two times more on Tuesday, and 40% more on Wednesday than on Tuesday. How many cookies did Annie eat during these three days? Annie ate 5 * 2 = <<5*2=10>>10 cookies on Tuesday. On Wednesday Annie ate 40/100 * 10 = <<40/100*10=4>>4 more cookies than on Tuesday. This means Annie ate on Wednesday 10 + 4 = <<10+4=14>>14 cookies. So in total during these three days Annie ate 5 + 10 + 14 = <<5+10+14=29>>29 cookies. #### 29 Jean is trying to motivate herself to write her final paper. She eats one donut per 2 pages that she writes. If she writes 12 pages and each donut has 150 calories, how many calories does she eat? First find the total number of donuts Jean eats: 12 pages / 2 pages/donut = <<12/2=6>>6 donuts Then multiply that number by the number of calories per donut to find the total number of calories she eats: 6 donuts * 150 calories/donut = <<6*150=900>>900 calories #### 900 Janet starts driving across a lake in a speedboat going 30 miles per hour. Her sister follows in a sailboat that has a speed of 12 miles per hour. If the lake is 60 miles wide, how long does Janet have to wait on the other side for her sister to catch up? First find how long it takes Janet to cross the lake: 60 miles / 30 miles/hour = <<60/30=2>>2 hours Then find how long it takes her sister to cross the lake: 60 miles / 12 miles/hour = <<60/12=5>>5 hours Then subtract Janet's travel time from her sister's travel time to find the difference: 5 hours - 2 hours = <<5-2=3>>3 hours #### 3 Michael has $50. He wants to surprise his mom on Mother's day by buying a cake for $20, a bouquet for $36, and a set of balloons for $5. How much more money does Michael need to buy all those? Michael will spend $20 + $36 + $5 = $<<20+36+5=61>>61. So, he needs $61 - $50 = $<<61-50=11>>11 more to buy all those for his mom. #### 11