A pole is 20 meters long. It got cut in a way that left it 30% shorter. How long is the pole?
The cut-away part of the pole is 30/100 * 20 =
<<30/100*20=6>>6 meters long. So the pole is left at the length of 20 - 6 = <<20-6=14>>14 meters. #### 14 Jamie is in a walking group with 4 other ladies. The ladies all walk 3 miles together. On top of that, Jamie walks an additional 2 miles per day for 6 days while her friend Sue walks half that amount in 6 days. If they walk this same route 6 days a week, how many miles do the ladies walk in total? There are 5 ladies total in the group. They all walk 3 miles a day for 6 days so 3*6 = 18 miles Jamie walks an additional 2 miles per day for 6 days so 2*6 = <<2*6=12>>12 miles Sue walks half the distance of Jamie so 12/2 = <<12/2=6>>6 miles Together, the ladies walk 18+12+6 = <<18+12+6=36>>36 miles #### 36 Brenda volunteered to make 3 trays of banana pudding for the family reunion. Each tray of banana pudding would need 80 wafer cookies. A box of wafer cookies only had 60 cookies per box. Each box costs $3.50. How much will it cost her to buy just enough boxes for 3 trays of banana pudding? Every tray needs 80 cookies and she's making 3 trays so 8*3 = <<80*3=240>>240 Every box of cookies has 60 cookies. She needs 240 cookies so 240/60 = <<240/60=4>>4 boxes The boxes cost $3.50 each and she needs 4 boxes so 3.50*4 = $<<3.50*4=14.00>>14.00 #### 14 In mid-May, the depth of a river in Moreland is measured. By mid-June, the river is 10 feet deeper than mid-May. By mid-July, the river is three times deeper than mid-June. If the river is 45 feet deep in mid-July, how many feet deep was the river in mid-May? In mid-June, the river is 45/3=<<45/3=15>>15 feet deep. In mid-May, the river was 15-10=<<15-10=5>>5 feet deep. #### 5 Bill is trying to decide whether to make blueberry muffins or raspberry muffins. Blueberries cost $5.00 per 6 ounce carton and raspberries cost $3.00 per 8 ounce carton. If Bill is going to make 4 batches of muffins, and each batch takes 12 ounces of fruit, how much money would he save by using raspberries instead of blueberries? First find how many ounces of fruit Bill will need total: 12 ounces/batch * 4 batches = <<12*4=48>>48 ounces Then find how many cartons of blueberries Bill would need: 48 ounces / 6 ounces/carton = <<48/6=8>>8 cartons Then multiply that number by the cost per carton to find the total cost of the blueberries: 8 cartons * $5/carton = $<<8*5=40>>40 Then find how many cartons of raspberries Bill would need: 48 ounces / 8 ounces/carton = <<48/8=6>>6 cartons Then multiply that number by the cost per carton to find the total cost of the raspberries: 6 cartons * $3/carton = $<<6*3=18>>18 Then subtract the cost of the raspberries from the cost of the blueberries to find the difference: $40 - $18 = $<<40-18=22>>22 #### 22 Aitana and Jayda went to Silverlake Flea market to buy some handmade crafts. Aitana spent 2/5 times more money than Jayda at the market. If Jayda spent $400, calculate the total amount of money they spent together. If Jayda spent $400 at the market, Aitana spent 2/5*400 = $160 more on handmade crafts. Since Aitana spent $160 more than Jayda at the market, she spent $400+$160 = $<<160+400=560>>560. The total amount of money they spent together is $400+$560 = $<<400+560=960>>960 #### 960 Gretchen's local ice cream shop offers 100 different flavors. She was able to try a 1/4 of the flavors 2 years ago and double that amount last year. How many more flavors will she need to try this year to have tried all 100 flavors? The shop offers 100 flavors and she tried 1/4 of the flavors so she had 100*.25 = <<100*.25=25>>25 flavors 2 years ago Last year she ate double the amount from the previous year so she had 25*2 = <<25*2=50>>50 flavors 2 years ago she ate 25 flavors and last year she had 50 flavors so she has had 25+50 = <<25+50=75>>75 flavors The shop offers 100 flavors and she has had 75 flavors so she still needs to try 100-75 = <<100-75=25>>25 flavors #### 25 Emily went to the store and bought art supplies for $20 and 2 skirts that cost the same amount of money. She spent a total of $50. How much did Emily pay for each of the skirts? First, you need to set up the problem with the information given. The cost of the skirts and art supplies must equal $<<50=50>>50. Since we know that the cost of the skirts is the same price and that she bought art supplies for $20, we can set up an equation: 2x + 20 = 50, with x being the cost of the skirts. To solve the equation, subtract 20 from both sides, to give you the new equation: 2x = 30. Solve for x by dividing both sides of the equation by 2, 2x/2 = 30/2 gives you x = 15. Therefore, each skirt cost $<<15=15>>15. #### 15 A snake's head is one-tenth its length. If a snake is 10 feet long, calculate the length of the rest of its body minus the head. A snake's head is one-tenth its length, which is 1/10*10 = <<1/10*10=1>>1 foot. Since the snake's head is 1 foot, the rest of its body is 10-1 = <<10-1=9>>9 feet long. #### 9 The country of Belize had a 5 lane bridge that had 2000 vehicles passing through it every month. They decided to build a new bridge that had twice the capacity of the old one, and the number of vehicles passing through the new one increased by 60% more than the old bridge. If the bridges work concurrently for a year, calculate the total number of vehicles that pass through the two bridges. In a year with 12 months, the total number of vehicles passing through the old bridge is 2000*12 = <<2000*12=24000>>24000 The new bridge has a capacity of 60/100*2000 = <<60/100*2000=1200>>1200 more vehicles passing through it in a month than the old one. The total number of vehicles passing through the new bridge in a month is 2000+1200 = <<2000+1200=3200>>3200 There are 3200*12 = <<3200*12=38400>>38400 vehicles passing through the new bridge in a year. Altogether, the two bridges have 38400+24000 = <<38400+24000=62400>>62400 vehicles passing through them in a year. #### 62400