Nadia is learning to play the piano. She normally makes 3 mistakes per 40 notes and can play about 60 notes a minute. If she plays for 8 minutes how many mistakes will she make on average?

She plays 480 notes because 8 x 60 =

<<8*60=480>>480 This is 12 blocks of 40 notes because 480/40=<<480/40=12>>12 She makes 36 mistakes because 12 x 3 = <<12*3=36>>36 #### 36 Jack sews 3 shirts for each of his 3 kids. He sews 7 buttons in each shirt. How many buttons must Jack use for all the shirts? The total number of shirts for all his kids is 3 * 3 = <<3*3=9>>9 shirts. The total number of needed buttons is 9 * 7 = <<9*7=63>>63 buttons. #### 63 Jane bought 2 skirts for $13 each. She also bought 3 blouses for $6 each. She paid the cashier $100. How much change did she receive? The 2 skirts cost $13 x 2 = $<<13*2=26>>26. The 3 blouses cost $6 x 3 = $<<6*3=18>>18. The total cost for 2 skirts and 3 blouses is $26 + $18 = $<<26+18=44>>44. Jane received $100 - $44 = $<<100-44=56>>56 change. #### 56 Janet is getting paid to moderate social media posts. She gets paid 25 cents per post she checks. If it takes her 10 seconds to check a post, how much does she earn per hour? First find the number of seconds in an hour: 1 hour * 60 minutes/hour * 60 seconds/minute = <<1*60*60=3600>>3600 seconds/hour. Then divide the total number of seconds per hour by the number of seconds it takes Janet to read one post: 3600 seconds/hour / 10 seconds/post = <<3600/10=360>>360 posts/hour. Then multiply the number of posts she checks per hour by her pay per post to find her hourly pay: $0.25/post * 360 posts/hour = $<<0.25*360=90>>90/hour. #### 90 Thomas started saving for a car almost 2 years ago. For the first year, his weekly allowance was $50. In the second year, he got a job that pays $9 an hour at a coffee shop and worked 30 hours a week, so his parents discontinued his allowance. If the car he wants to buy is $15,000 and he spends $35 a week on himself, how much more money does Thomas need to buy the car by the end of the 2 years? There are 52 weeks in a year. For the first year, Thomas received 52 x 50 = $<<52*50=2600>>2600 In the second year, Thomas earned 9 x 30 = $<<9*30=270>>270 a week In a year, Thomas earned 52 x 270 = $<<52*270=14040>>14,040 The total for the two years is 14040+2600 = <<14040+2600=16640>>16640 In 2 years, Thomas' weekly expenses amounted to $35 x (52 x 2) = $35 x 104 = $<<35*52*2=3640>>3640 By the end of 2 years, Thomas would have saved $16640 - $3640= <<16640-3640=13000>>13000 Thomas still needs $15,000 - 13000 = $<<15000-13000=2000>>2000 #### 2000 The population of an area starts at 100,000 people. It increases by 60% over 10 years due to birth. In that same time, 2000 people leave per year from emigration and 2500 people come in per year from immigration. How many people are in the area at the end of 10 years? The population increased by 100000*.6=<<100000*.6=60000>>60,000 from births They lost 2000*10=<<2000*10=20000>>20,000 people from emigration They gained 2500*10=<<2500*10=25000>>25,000 people from immigration That means the net increase from people moving was 25000-20000=<<25000-20000=5000>>5,000 So the total population is 100,000+60,000+5,000=<<100000+60000+5000=165000>>165,000 #### 165,000 Sabina is starting her first year of college that costs $30,000. She has saved $10,000 for her first year. She was awarded a grant that will cover 40% of the remainder of her tuition. How much will Sabina need to apply for to receive a loan that will cover her tuition? The remainder of Sabina’s tuition bill comes to $30,000 - $10,000 = $<<30000-10000=20000>>20,000. The grant will cover $20,000 * 0.40 = $<<20000*0.40=8000>>8,000 of her tuition. That means that Sabina will need to apply for a loan of $20,000 - $8,000 = $<<20000-8000=12000>>12,000 to pay for the rest of her tuition. #### 12000 Paddy's Confidential has 600 cans of stew required to feed 40 people. How many cans would be needed to feed 30% fewer people? If there are 40 people, each person gets 600/40 = <<600/40=15>>15 cans. Thirty percent of the total number of people present is 30/100*40 = <<30/100*40=12>>12 If there are 30% fewer people, the number of people who are to be fed is 40-12 = <<40-12=28>>28 Since each person is given 15 cans, twenty-eight people will need 15*28 = <<15*28=420>>420 cans. #### 420 Tom is cutting a piece of wood to make a shelf. He cut the wood to 143 cm, but it is too long to fit in the bookshelf he is making. He decides to cut 25 cm off the board. But it turned out longer than the other boards. He had to cut off 7 cm from each to make them the same size. How long were the boards before he cut the 7 cm off? After the first cut, the board was 143 - 25 = <<143-25=118>>118 cm The other boards were 118 + 7 = <<118+7=125>>125 cm before they got cut. #### 125 Maisy has been offered a new job and now has the option of continuing to work at her current job or take the new job. Her current job is 8 hours a week with a wage of $10 per hour. The new job is offering 4 hours a week with a wage of $15 per hour with an additional bonus of $35 per week if she exceeds her quota. Maisy is confident that she will exceed her quota and decides to include this when calculating her wage at the new job. How much more money, in dollars, will Maisy earn at her new job? At her current job, Maisy earns 8 hours * $10 per hour = $<<8*10=80>>80. At her new job, she would earn 4 hours * $15 per hour = $<<4*15=60>>60. Including her bonus, her new job would pay $60 wage + $35 bonus = $<<60+35=95>>95. So at her new job, she would earn an extra 95 – 80 = $<<95-80=15>>15. #### 15