Jame gets 20 singing lessons. He gets the first lesson free and after the first 10 paid lessons he only needs to pay for every other lesson. Each lesson is $5. His uncle pays for half. How much does James pay?

The first lesson is free.

The lessons 2 to 11 cost 10*$5=$

<<10*5=50>>50. He then had 9 remaining lessons where he had to pay for every other one. So he pays for lessons 13,15,17&19 = 4 lessons. Those lessons cost 4*$5=$<<4*5=20>>20. So in total, the cost was $50+$20=$<<50+20=70>>70. So he paid $70/2=$<<70/2=35>>35. #### 35 Karen's students are about to take a standardized test. Karen gets a $500 bonus if their average score is above 75, plus an extra $10 bonus for every additional point the average score increases above 75. So far, Karen has graded 8 tests, and the average is 70. Given that each student can have a maximum score of 150, what combined score do the last two tests need to have for Karen to earn a $600 bonus? First subtract $500 from Karen's goal bonus amount to find how much she makes from the extra $10/point bonus: $600 - $500 = $<<600-500=100>>100 Then divide the extra bonus by the extra rate: $100 / $10/point = <<100/10=10>>10 points Then add the 10 extra points to the baseline 75 point goal to find the students' average test score: 10 points + 75 points = <<10+75=85>>85 points Then added the 8 graded tests to the 2 ungraded tests to find the total number of tests: 2 tests + 8 tests = <<2+8=10>>10 tests Then multiply the 85 point average by the number of tests to find the total number of points the students need to earn: 85 points/test * 10 tests = 850 points Then multiply the current average by the current number of graded tests to find how many points have been earned so far: 70 points/test * 8 tests = <<70*8=560>>560 points Then subtract the number of points earned from the number of points needed to find the combine score the last two tests need: 850 points - 560 points = <<850-560=290>>290 points #### 290 A plane flies between 4 cities; A, B, C and D. Passengers board and alight at each airport in every city when it departs and lands, respectively. The distance between city A and city B is 100 miles. The distance between city B and city C is 50 miles more than the distance between city A and city B. The distance between city C and city D is twice the distance between city B and city C. Calculate the total distance between city A and city D. Since the distance between city A and B is 100 miles, and city B and C are 50 more miles apart than city A and B, then city B and C are 100+50 = <<100+50=150>>150 miles apart. The plane's total flying distance between cities A and C is 100+150= <<100+150=250>>250 miles. The distance between city C and city D is twice the distance between city B and city C, meaning city C and city D are 2*150 = <<300=300>>300 miles apart. The plane flies a distance of 250+300 = <<250+300=550>>550 miles from city A to city D. #### 550 Hank reads the newspaper every morning, 5 days a week for 30 minutes. He reads part of a novel every evening, 5 days a week, for 1 hour. He doubles his reading time on Saturday and Sundays. How many minutes does Hank spend reading in 1 week? He reads 30 minutes in the morning 5 days a week for a total of 30*5 = <<30*5=150>>150 minutes He doubles his reading time on the weekends so 30*2 = <<30*2=60>>60 minutes per day He reads 60 minutes on Saturday and Sunday in the mornings for a total of 60+60 = <<60+60=120>>120 minutes He reads 1 hour in the evenings 5 days a week for a total of 1*5 = <<1*5=5>>5 hours He doubles his reading time on the weekends so 1*2 = <<1*2=2>>2 hours per day He reads 2 hours on Saturday and Sunday in the evenings for a total of 2+2 = <<2+2=4>>4 hours He read 5+4 = 9 hours which, when converted to minutes is 9*60 = 540 minutes He reads 150 minutes in the morning and 120 minutes in the evenings and 540 over the weekend for a total of 150+120+540 = 810 minutes in 1 week #### 810 Grace baked 4 whole pumpkin pies. She sold 1 whole pumpkin pie and gave 1 whole pumpkin pie to her friend. The remaining whole pumpkin pies were each sliced into 6 pieces. Her family ate 2/3 pieces. How many pieces of pumpkin pie were left? Grace sold and gave a total of 1 + 1 = <<1+1=2>>2 whole pumpkin pie. Her family was left with 4 - 2 = <<4-2=2>>2 whole pumpkin pie. There were a total of 2 x 6 = <<2*6=12>>12 pieces made from the 2 whole pumpkin pie. Her family ate 12 x 2/3 = <<12*2/3=8>>8 pieces. Therefore, 12 - 8 = <<12-8=4>>4 pieces of pumpkin pie were left. #### 4 Carlos is doing his laundry. He needs to wash two loads, which takes 45 minutes per load. Then he can combine both loads and dry them, which takes 75 minutes. How long does his laundry take in total? First multiply the number of loads by the time per load to find the washing time: 2 loads * 45 minutes/load = <<2*45=90>>90 minutes Then add that time to the drying time to find the total laundry time: 90 minutes + 75 minutes = <<90+75=165>>165 minutes #### 165 Janette went camping for 5 days. She brought along 40 pieces of beef jerky. She wants to ration it out so that she can eat 1 for breakfast, 1 for lunch, and 2 for dinner each day. When she returns from the trip, she plans on giving half of the remaining pieces to her brother. How many pieces of beef jerky will she have left once she does this? Each day she eats a total of 1 + 1 + 2 = <<1+1+2=4>>4 pieces of jerky. For the entire trip, she will consume a total of 4 * 5 = <<4*5=20>>20 pieces of jerky. She gives half to her brother, which will leave her a total of 20 / 2 = <<20/2=10>>10 pieces of jerky. #### 10 Darrel has 76 quarters, 85 dimes, 20 nickels and 150 pennies. If he drops all of his money into a coin-counting machine, they will convert his change into dollars for a 10% fee. How much will he receive after the 10% fee? He has 76 quarters so that’s 76*.25 = $<<76*.25=19.00>>19.00 He has 85 dimes so that’s 85*.10 = $<<85*.10=8.50>>8.50 He has 20 nickels so that’s 20*.05 = $<<20*.05=1.00>>1.00 He has 150 pennies so that’s 150*.01 = $<<150*.01=1.50>>1.50 All total he has 19+8.5+1+1.5 = $<<19+8.5+1+1.5=30.00>>30.00 They charge a 10% fee to count and convert his change into dollars so they will charge him .10*30 = $3.00 He had $30.00 and they charged him $3.00 in fees so he now has 30-3 = $<<30-3=27.00>>27.00 #### 27 On Tuesday, 12,000 ice cream cones were sold. On Wednesday, the number of ice cream cones sold was double the amount sold on Tuesday. How many ice cream cones have been sold in total? 12,000 *2 = <<12000*2=24000>>24,000 ice cream cones were sold on Wednesday. 12,000 + 24,000 = <<12000+24000=36000>>36,000 ice cream cones have been sold in total. #### 36,000 A man divides 3 hectares of land evenly among his 8 sons. If every 750m^2 of this land can be used to make a profit of $500 from every 3 months of commercial farming, how much can each son make if they cultivate their share of the land for one year(1 hectare is equal to 10000 m^2)? There are 10000m^2 in each hectare, so 3 hectares contains 3*10000 = 30000m^2 of land 30000m^2 is divided among 8 sons so each son will get 30000/8 = <<30000/8=3750>>3750m^2 In every 3750m^2, there are 3750/750 = <<3750/750=5>>5 portions of 750m^2 areas of land Each son can make 5*$500 = $<<5*500=2500>>2500 every 3 months from cultivating their share In one year there are 12 months so each son can make $2500 up to 12/3 = <<12/3=4>>4 times in a year Each son can make a total of $2500*4 = $<<2500*4=10000>>10000 in a year #### 10000