7 out of 40 people in a cafeteria are wearing checkered shirts. The rest of the people are wearing vertical stripes and horizontal stripes. The number of people wearing horizontal stripes is 4 times as many as the people wearing checkered shirts. How many people are wearing vertical stripes?

40 people - 7 people =

<<40-7=33>>33 people are wearing stripes. The number of people wearing horizontal stripes is 4 horizontal stripes/checkered shirt x 7 checkered shirts = <<4*7=28>>28 horizontal stripes The number of people wearing vertical stripes is 33 total stripes - 28 horizontal stripes = <<33-28=5>>5 vertical stripes #### 5 Donna made a cake to take to a party where the guests ate half the cake. The day after the party, she shared half the leftovers with her brothers. The following day, she ate one piece as a midnight snack. Twice as many pieces as her snack were left. How many pieces was the cake to begin with? Donna had 2 * 1 = <<2*1=2>>2 pieces of cake left. Before her snack, there were 2 + 1 = <<2+1=3>>3 pieces left. Those 3 pieces were half the leftovers, so she had 3 * 2 = <<3*2=6>>6 pieces before sharing with her brothers. Those 6 pieces were half the party leftovers, so the cake was 2 * 6 = <<6*2=12>>12 pieces before the party. #### 12 A survey was conducted by a school to the parents about their children's online class experience. Fifteen percent of the respondents rated Excellent; 60% rated Very Satisfactory; 80% of the remaining respondents rated Satisfactory and the rest rated Needs Improvement. If 120 parents answered the survey, how many of them rated Needs Improvement? The total percentage of those who rated Excellent or Very Satisfactory is 15% + 60% = 75%. Seventy-five percent of the parents is 120 x 75/100 = <<120*75/100=90>>90. Hence, 120 - 90 = <<120-90=30>>30 students rated either Satisfactory or Needs Improvement. A total of 30 x 80/100 = <<30*80/100=24>>24 parents rated Satisfactory. Therefore, 30 - 24 = <<30-24=6>>6 parents rated Needs Improvement. #### 6 Cary starts working at Game Stop for $10/hour. She gets a 20% raise the first year, but the second year the company's profits decrease and her pay is cut to 75% of what it used to be. How much does Cary make now? First find the amount of Cary's raise by multiplying $10 by 20%: $10 * .2 = $<<10*.2=2>>2. Then add Cary's raise to her initial wage to find her wage after one year: $10 + $2 = $<<10+2=12>>12. Then multiply that wage by 75% to find Cary's wage after her pay cut: $12 * .75 = $<<12*.75=9>>9. #### 9 Shawn collected 40 plain pebbles. He painted 9 pebbles red and 13 pebbles blue. He then divided the remaining pebbles equally into 3 groups, and painted them purple, yellow, and green. What is the difference between the number of blue and yellow pebbles? After painting the red and blue pebbles, Shawn had a remainder of 40 - 9 - 13 = <<40-9-13=18>>18 pebbles. He painted 18/3 = <<18/3=6>>6 pebbles yellow. The difference between the number of blue and yellow pebbles is 13 - 6 = <<13-6=7>>7. #### 7 Phoebe has two pizzas to share with her and three friends. One has pepperoni and the other has cheese. They both have 16 slices. They all eat the same amount. One friend eats only pepperoni, while the rest have an equal number of slices of each. At the end, there is one slice of pepperoni left and 7 slices of cheese, how many slices does each person eat? They are 9 slices of cheese because 16 - 7 = <<16-7=9>>9 They ate three slices of cheese each because 9 / 3 = <<9/3=3>>3 They are 6 slices each in total because 3 x 2 = <<3*2=6>>6 #### 6 Alice wants 1000 folded paper cranes. She folds half by herself, and a friend folds a fifth of the remaining paper cranes for her. How many paper cranes does Alice still need to fold? Alice folds 1000 * 0.5 = <<1000*0.5=500>>500 paper cranes by herself. This leaves 1000 – 500 = <<1000-500=500>>500 paper cranes left to fold. A friend folds a fifth of the remaining amount, so they have folded 500 / 5 = <<500/5=100>>100 paper cranes for her. This means there is a total of 1000 – 500 – 100 = <<1000-500-100=400>>400 paper cranes left for Alice to fold. #### 400 A pad of paper comes with 60 sheets. Evelyn uses a pad of paper writing notes at work every week. She takes Monday and Friday off from work. How many sheets of paper does she use per day at work? Evelyn takes two days a week off from work, so she is at work 7 - 2 = <<7-2=5>>5 days a week. Thus, she uses 60 / 5 = <<60/5=12>>12 sheets of paper per day at work. #### 12 Jim decides he wants to practice for a marathon coming up. He starts off by running 5 miles every day for 30 days straight. He then pushes himself to run 10 miles a day for the next 30 days. Finally, as marathon day gets closer Jim runs 20 miles a day for 30 days straight. How many miles does Jim run in total during the 90 days? Jim runs 5 miles a day for 30 days for a total of 5*30=<<5*30=150>>150 miles. The next month Jim runs 10 miles a day for 10*30= <<10*30=300>>300 miles. The last month Jim runs 20 miles a day for 20*30=<<20*30=600>>600 a month. All together, Jim runs 150+300+600= <<150+300+600=1050>>1050 miles in three months. #### 1050 I caught 4 fewer fish than the number in my tank and added them to my fish tank. If the tank has 20 fish right now, how many did I add? Let's say the number of fish that was in the tank before was x If you caught 4 fewer fish than the number that was there, then you caught x-4 After adding x-4 fish into the tank, the tank now had 20 fish, meaning the total number of fish in the tank is x+x-4=20 2x=20+4 The total number of fish that was initially in the tank is 2x=24 Initially, there were x=24/2 fish in the tank x=<<12=12>>12 If you caught 4 fewer fish than the number in my tank initially, you caught 12-4=<<12-4=8>>8 fish. #### 8