Jack and Jill went up the hill to fetch water to fill a 600 gallon tank. Each bucket is five gallons. Jack is stronger, and is able to carry two buckets of water at a time, but Jill can only manage one. Also, Jack can complete three trips to the well and back in the time it takes Jill to make two trips. How many trips will Jill make before the tank is filled?

Jack is able to carry two 5-gallon buckets of water per trip, or 2 * 5 = 10 gallons of water. Jill can only carry one bucket per trip, or 5 gallons.

Jack completes 3 trips to the well and back for every 2 trips Jill completes, so in that time they have both together carried 3 Jack trips * 2 buckets per Jack trip * 5 gallons per bucket + 2 Jill trips * 1 bucket per Jill trip * 5 gallons per bucket = 30 gallons + 10 gallons =

<<3*2*5+2*1*5=40>>40 gallons of water. If you consider these as a single "group" of trips, it will take 600 gallons / 40 gallons per "group" of trips = <<600/40=15>>15 groups of trips. As each of these "groups" of trips consists of two Jill trips, Jill will make 15 * 2 = <<15*2=30>>30 trips to the well and back before the tank is filled. #### 30 Jerry finds six hawk feathers and 17 times as many eagle feathers as hawk feathers. If he gives 10 feathers to his sister and sells half the remaining feathers, how many does he have left? First find how many eagle feathers he found: 17 * 6 feathers = <<17*6=102>>102 feathers Then add the number of hawk feathers he found: 102 feathers + 6 feathers = <<102+6=108>>108 feathers Then subtract the number of feathers Jerry gave to his sister: 108 feathers - 10 feathers = <<108-10=98>>98 feathers Then divide that number by 2 to find how many feathers Jerry has left: 98 feathers / 2 = <<98/2=49>>49 feathers #### 49 Asia bought a homecoming dress on sale for $140. It was originally priced at $350. What percentage off did she get at the sale? Asia saved $350 - $140 = $<<350-140=210>>210 on the dress. That means she saved $210 / $350 = <<210/350=0.60>>0.60 or 60% off on the dress. #### 60 Darius has 5 buckets of water. One contains 11 ounces, one contains 13 ounces, one contains 12 ounces, one contains 16 ounces, and one contains 10 ounces. He pours the ten-ounce bucket into a bigger bucket, along with one of the other four. The total in the bigger bucket is now 23 ounces. He pours the remaining three buckets into a second large bucket. How many ounces does the second large bucket contain? Darius poured the 13-ounce bucket into the first large bucket because 23 - 10 = 13 The remaining buckets are thus the 11, 12, and 16 ounce buckets. The second large bucket contains 39 ounces because 11 + 12 + 16 = <<11+12+16=39>>39 #### 39 John buys 3 barbells and gives $850 and gets $40 in change. How much did each barbell cost? The total price of the barbells was 850-40=$<<850-40=810>>810 So each one cost 810/3=$<<810/3=270>>270 #### 270 Jake trips over his dog 40% percent of mornings. 25% of the time he trips, he drops his coffee. What percentage of mornings does he NOT drop his coffee? First multiply the chance of each event happening to find the chance they both happen: 40% * 25% = 10% Then subtract that percentage from 100% to find the percentage of the time Jake doesn't drop his coffee: 100% - 10% = 90% #### 90 Marie, the confectioner, makes 12 chocolate eggs, each weighing 10 ounces. She then packs an equal number of the eggs in 4 different gift boxes. Unfortunately, she leaves one of the boxes by the kitchen window and the afternoon sun melts everything. She tosses that box out. What is the total weight, in ounces, of the remaining chocolate eggs? Each gift box has 12/4 = 3 chocolate are 12-3 = <<12-3=9>>9 chocolate eggs left. The remaining chocolate eggs therefore weigh 9 * 10 = <<9*10=90>>90 ounces #### 90 Jack and Jill race up the hill to see who gets there fastest. Jack ran up the first half of the hill in 19 seconds. He finished running up the hill 7 seconds before Jill did. If Jill finished the race in 32 seconds, how long did it take Jack to run up the second half of the hill? Since Jack was faster than Jill, his total running time must have been 32 - 7 = <<32-7=25>>25 seconds. Subtracting the the time he spent running up the first half of the hill shows that it took 25 - 19 = <<25-19=6>>6 seconds to run up the second half of the hill. #### 6 Mrs. Dunbar was creating floral arrangements for her niece's wedding. She needed to make 5 bouquets and 7 table decorations. She uses 12 white roses in each table decoration and 5 white roses in each bouquet. How many white roses in total does she need to complete all bouquets and table decorations? For table arrangements, she needs 7*12=<<7*12=84>>84 white roses. For bouquets, she needs 5*5=<<5*5=25>>25 white roses. Thus, in total, she needs 84+25=<<84+25=109>>109 white roses. #### 109 Jerry was asked by her mom to do grocery shopping. He needs to buy 2 liters of mustard oil that costs $13 per liter, 3 pounds of gluten-free penne pasta that costs $4 per pound, and 1 pound of pasta sauce that costs $5. If Jerry can keep the rest of the $50 after grocery shopping, how much money will he have? The cost of 2 liters of mustard oil is $13 x 2 = $<<13*2=26>>26. The cost of 3 pounds of gluten-free penne pasta is $4 x 3 = $<<3*4=12>>12. So, Jerry spent a total of $26 + $12 + $5 = $<<26+12+5=43>>43 for grocery shopping. Thus, Jerry will have $50 - $43 = $<<50-43=7>>7 for himself. #### 7