Sarah is playing tic-tac-toe. She wins $1 for every game she wins, $0 for every game she ties, and she loses $2 for every game she loses. If she played 100 games where she tied 40 of them, and she lost $30, how many games did she win?

She either won or lost 60 games because 100 - 40 =

<<100-40=60>>60 We know that 1(60-Losses) -2(Losses) = -30 because she lost $30 Therefore 60 - Losses - 2 Losses= -30 Therefore - 3 Losses = -90 Therefore, Losses = <<30=30>>30 #### 30 Mr. Jesiah is a dairy cow farmer with cows producing 200 gallons of milk every day. The expenses for maintenance of the dairy farm and purchase of feeds is $3000 per month. Calculate his total income in June if he sells 1 gallon of milk at $3.55. In a day, Mr. Jesiah's total income from the sale of the milk is $3.55/gallon * 200 gallons/day = $<<3.55*200=710>>710/day In June, his total income is $710/day * 30 days = $<<710*30=21300>>21300 The net income from the sale is $21300 - $3000 = $<<21300-3000=18300>>18300 #### 18300 Robie filled some plastic boxes with hockey cards. There were 10 cards in each box but 5 cards were not placed in a box. He gave away 2 boxes to his friends and he has 5 boxes with him. How many cards did Robie have in the beginning? Robie filled a total of 2 + 5 = <<2+5=7>>7 boxes. So, he had 7 x 10 = <<7*10=70>>70 hockey cards from the 7 boxes. Thus, he had a total of 70 + 5 = <<70+5=75>>75 cards in the beginning. #### 75 Ruby was going to order pizza for dinner. Her son would only eat pepperoni pizza. Her daughter would only eat sausage. Ruby and her husband wanted black olive and mushroom pizza. To make life easy, Ruby decided to order an entire pizza for each of her children and she would split one with her husband. The pizza restaurant charged $10.00 per pizza and $1.00 per topping. She also needed to add a $5.00 tip. Including tip, how much would the pizza order cost? Ruby was going to order 1 for her son, 1 for her daughter and 1 to share with her husband. So she needed to order 1+1+1 = <<1+1+1=3>>3 pizzas Each pizza cost $10 and she was ordering 3 so that comes to 10*3 = $<<10*3=30.00>>30.00 She needed to order pepperoni, sausage, black olive and mushroom, which came to 4 toppings at $1.00 each so 4*1 = $<<4*1=4.00>>4.00 extra for toppings The pizzas cost $30 and $4 for the toppings so the total costs of the pizzas came to 30+4 = $<<30+4=34.00>>34.00 She also had to add a $5.00 tip to her current order total of $34.00 so 5+34.00 = $<<5+34=39.00>>39.00 for the total order #### 39 Keith and Blaine went fishing. Blaine caught 5 fish while Keith caught twice as many as Blaine's. How many fish did they catch together? Keith caught 5 x 2 = <<5*2=10>>10 fish. Therefore, they caught a total of 5 + 10 = <<5+10=15>>15 fish. #### 15 How many portions of 200 ml milk can Jasmine pour from a full 2-liter container of milk? Since there are 1000 ml in 1 liter, then 2 liters is equal to 1000 x 2 = <<2*1000=2000>>2000 ml. Thus, Jasmine can pour 2000/200 = <<2000/200=10>>10 portions of 200 ml milk. #### 10 Cameron is printing her thesis in the school library and has 400 A4 pieces of paper. If 40% of the papers did not print out up to her desired quality and she separated them as invalid, calculate the total number of valid documents. If she had 400 papers, the total number of documents she separated as invalid is 40/100 * 400 pages = <<40/100*400=160>>160 pages. The number of valid documents is 400 pages - 160 pages = <<400-160=240>>240 pages #### 240 For 5 days, Chantel makes 2 friendship bracelets every day. She gives away 3 bracelets to her friends at school. Then for four days, she makes 3 friendship bracelets every day. Then she gives away 6 bracelets to her friends at soccer practice. How many bracelets does Chantel have in the end? After five days, Chantel has 5 * 2 = <<5*2=10>>10 bracelets. Then she has 10 - 3 = <<10-3=7>>7 bracelets. After the next four days, she makes 4 * 3 = <<4*3=12>>12 bracelets. In the end, Chantel has 7 + 12 - 6 = <<7+12-6=13>>13 bracelets. #### 13 A business executive is going on a four day vacation where he will be unable to answer emails. The first day he is gone, he receives 16 new emails. On each of the following days, he receives half as many new emails as he received on the prior day. At the end of his four day vacation, how many new emails will he have received in total? On the second day, the executive receives 16/2 = <<16/2=8>>8 new emails. On the third day, he receives 8/2 = <<8/2=4>>4 new emails. On the fourth day, he receives 4/2 = <<4/2=2>>2 new emails. Therefore, during the entire trip he will have received 16 + 8 + 4 + 2 = <<16+8+4+2=30>>30 new emails. #### 30 Every Halloween one house in the neighborhood gives out toothbrushes instead of candy, so it always gets egged and covered in toilet paper. If the owner spends 15 seconds cleaning up each egg and 30 minutes cleaning up each roll of toilet paper, how long (in minutes) will they have to spend cleaning up 60 eggs and 7 rolls of toilet paper? First find how many eggs per minute the owner can clean up: 60 seconds/minute / 15 seconds/egg = <<60/15=4>>4 eggs/minute Then divide the total number of eggs by the number of eggs cleaned per minute to find how long the owner spends cleaning them up: 60 eggs / 4 eggs/minute = <<60/4=15>>15 minutes Then find the total time the owner spends cleaning up toilet paper: 7 rolls * 30 minutes/roll = <<7*30=210>>210 minutes Finally, add that amount to the egg cleaning time to find the total cleaning time: 210 minutes + 15 minutes = <<210+15=225>>225 minutes #### 225