Out of the 400 emails that Antonia received in her mail, 1/4 were spam emails, while 2/5 of the remaining emails were promotional messages. If the rest of the emails were important emails, calculate the total number of important emails in her inbox.

Out of the 400 emails, 1/4*400 =

<<400*1/4=100>>100 emails were spam emails. The number of emails that were not spam emails is 400-100 = <<400-100=300>>300 2/5 of the emails which were not spam were promotional emails, a total of 2/5*300=<<2/5*300=120>>120 emails. If the rest of the emails were important emails, there were 300-120 = <<300-120=180>>180 important emails. #### 180 There are twenty-two people in a waiting room. If three more people arrive, the number of people in the waiting room becomes five times the number of people inside the interview room. How many people are in the interview room? There are twenty-two people in a waiting room, and if three more people arrive, the number increases to 22+3=<<22+3=25>>25 If three more people arrive, the number of people in the waiting room becomes five times the number of people that are inside the interview room, meaning there are 25/5=5 people inside the interview room #### 5 One afternoon, Rachelle, Gretchen and Rocky threw pennies into the fountain and made wishes. Rachelle threw 180 pennies into the fountain. Gretchen threw half as many pennies into the fountain as Rachelle and Rocky threw in one-third as many pennies as Gretchen. What was the total number of pennies thrown into the fountain by the three of them? Gretchen threw half as many pennies into the fountain as did Rachelle, for a total of 180/2=<<180/2=90>>90 pennies. Rocky threw one-third as many as Gretchen, for a total of 90/3=<<90/3=30>>30 pennies. In total, the three threw 180+90+30=<<180+90+30=300>>300 pennies into the fountain. #### 300 Katie is making bread that needs 3 pounds of flour. Sheila is making another kind of bread that needs 2 more pounds of flour. How many pounds of flour do they need together? Sheila needs 3 + 2 = <<3+2=5>>5 pounds of flour. Together, they need 3 + 5 = <<3+5=8>>8 pounds of flour. #### 8 Allie picked 44 wildflowers. Thirteen of the flowers were yellow and white, seventeen of the flowers were red and yellow, and 14 of the flowers were red and white. How many more flowers contained the color red than contained the color white? 13 were yellow and white, and 14 red and white, for a total of 13+14=<<13+14=27>>27 flowers containing the color white. 17 were red and yellow, and 14 were red and white, for a total of 17+14=<<17+14=31>>31 flowers containing the color red. Thus, there were 31-27=<<31-27=4>>4 more flowers that contained the color red than the color white. #### 4 Jack orders 3 sandwiches that cost $5 each. He pays with a $20 bill. How much does he get in change? The cost was 3*5=$<<3*5=15>>15. So he got 20-15=$<<20-15=5>>5 in change. #### 5 Bob orders a dozen muffins a day for $0.75 each and sells them for $1.5 each. How much profit does he make a week? He buys them for 12*.75=$<<12*.75=9>>9 He sells them for 12*1.5=$<<12*1.5=18>>18 So he makes 18-9=$<<18-9=9>>9 per day That means he makes 9*7=$<<9*7=63>>63 per week #### 63 A soccer team has 24 players. They have scored 150 goals on the season. There have been 15 games played. 1/3 of the players have averaged 1 goal each per game. How many total goals have the other players scored? 8 players have averaged 1 goal a game because 24 x (1/3) = <<24*(1/3)=8>>8 These players average a total of 8 goals a game because 8 x 1 = <<8*1=8>>8 These players have scored 120 goals because 8 x 15 = <<8*15=120>>120 The remaining players have scored 30 total goals because 150 - 120 = <<150-120=30>>30 #### 30 Carla works at a food bank and she currently has stocked up 2000 cans of food. One day, 500 people showed up and took 1 can of food each. Carla had to then restock 1500 more cans to keep up with demand. The next day, 1000 people showed up and took 2 cans of food each. Carla restocked again with 3000 cans of food this time. How many cans of food did Carla give away? One day, 2000-500=<<2000-500=1500>>1500 cans of food were left. It was then restocked to 1500+1500=<<1500+1500=3000>>3000 cans. 1000*2=<<1000*2=2000>>2000 cans were taken the next day. 3000-2000=<<3000-2000=1000>>1000 cans were left. It was restocked once more to 1000+3000=<<1000+3000=4000>>4000 cans of food. Carla gave away 500+2000=<<500+2000=2500>>2500 cans of food. #### 2,500 Dianne runs a store that sells books. 37% of her 1000 customers end up returning their books. Her books all cost 15 dollars apiece. How much money does she keep in sales after subtracting the returns? Diane made 1000*15= $<<1000*15=15000>>15000 in sales because she had 1000 customers each buy a $15 book. 37% of those customers returned their books, so that means she had .37*1000= <<37*.01*1000=370>>370 returns Each of those returns was for a $15 book, so she had 370*15= $<<370*15=5550>>5,550 in returns For her total leftover income, we subtract the returns from the sales and end up with 15000-5550= $<<15000-5550=9450>>9450 in income. #### 9,450