Jack needs to put his shoes on, then help both his toddlers tie their shoes. If it takes Jack 4 minutes to put his shoes on, and three minutes longer to help each toddler with their shoes, how long does it take them to get ready?

First figure out how long it takes to help one toddler: 4 minutes + 3 minutes =

<<4+3=7>>7 minutes Then multiply the time per toddler by the number of toddlers: 7 minutes/toddler * 2 toddlers = <<7*2=14>>14 minutes Now add the time spent helping the toddlers to the time Jack spends on his own shoes: 14 minutes + 4 minutes = <<14+4=18>>18 minutes #### 18 Anna spent 1/4 of her money, and now she has $24 left. How much did she have originally? Let X be the amount Anna had originally. She spent X*1/4 and has X - X*1/4 = $24 left. Combining like terms, we get X*3/4 = $24. Dividing both sides by 3/4, we get X = $32. #### 32 Alec is running for Class President. He thinks that if he can get three-quarters of the class to vote for him then there is no chance anyone else can beat him. Half of the class have already said they will vote for him but out of the remaining students, only 5 have said they are thinking about voting for him. He surveys the students who are thinking about voting for someone else, and changes his flyers to reflect the issues these students are concerned about. This results in a fifth of these students saying they'll vote for him. If Alec's class has 60 students and everyone who said they will vote for him does so, how many more votes does Alec need to reach his goal number of votes? To calculate Alec's goal number of votes, we need to know that 60 students / 4 = <<60/4=15>>15 students is equal to one-quarter of the class students. Alec's goal is therefore 15 students * 3 quarters = <<15*3=45>>45 votes. Half of the class said they will vote for him, so there are already 60 students / 2 = <<60/2=30>>30 votes. Another 5 students are thinking about voting for him which leaves a total so far of 30 + 5 = <<30+5=35>>35 votes. This means there are 60 students - 35 voting for Alec = <<60-35=25>>25 students not voting for Alec. A fifth of these decided to vote, so this is a further 25 students / 5 = <<25/5=5>>5 votes. Alec is therefore receiving a total of 35 + 5 = <<35+5=40>>40 votes. So he has missed his goal by 45 goal votes - 40 actual votes = <<45-40=5>>5 votes. #### 5 The garbage truck passes through Daniel's neighborhood on Tuesdays, Thursdays, and Saturdays. In each garbage collection, an average of 200 kg is taken. Due to obstruction in the roads leading to Daniel's neighborhood, the garbage truck stops passing through for two weeks. During the first week, people in Daniel's neighborhood pile the extra garbage around the dumpster, during the second week they apply a policy of cutting their amount of garbage in half. How many kilograms of garbage have accumulated in Daniel's neighborhood during the 2 weeks? The garbage truck passes through Daniel's neighborhood for 3 days. In the first week, 200 * 3 = <<200*3=600>>600 kilograms of garbage are accumulated. In the second week, half the amount of garbage is accumulated, which is 600 / 2 =<<600/2=300>>300 kg of garbage. During the 2 weeks, 600 + 300 = <<600+300=900>>900 kg of garbage are accumulated. #### 900 Maria gave a third of her money to her friend Isha, half of what she gave to Florence. If Florence received three times as much money as Maria's cousin Rene, and Rene received $300, how much money did Maria give her three friends? The total amount of money that Florence received is 3*300 = $<<3*300=900>>900, three times as much money as Rene received. Maria gave Isha half the amount of money that Florence received, which is $900/2 = $<<900/2=450>>450 Maria gave her friends $450+$900+$300 = $<<450+900+300=1650>>1650 #### 1650 There were 37 jellybeans in a jar. Pat removed 15 of them. Pat then added 5 of the removed jellybeans back in, and then removed 4 more. How many jellybeans are now in the jar? After removing 15 jellybeans, there were 37-15=<<37-15=22>>22 jellybeans in the jar. After adding back 5 jellybeans, there were 22+5=<<22+5=27>>27 jellybeans in the jar. After removing 4 more jellybeans, there were 27-4=<<27-4=23>>23 jellybeans left in the jar. #### 23 While shopping, Greg spent 300$ on a shirt and shoes. If Greg spent 9 more than twice as much on shoes as he did a shirt, how much did Greg spend on a shirt? Let x be the amount spent on a shirt. Greg spent 2x+9 dollars on shoes. 300=x+(2x+9) 300=3x+9 291=3x x=<<97=97>>97$ Greg spent 97$ on a shirt. #### 97 Twice the money Jericho has is 60. He owes Annika $14 and also owes half as much to Manny. After paying off all his debts, how much money will Jericho be left with? Jericho has $60/2 = $<<60/2=30>>30. He owed Manny $14/2 = $<<14/2=7>>7. His debts amount to $14 + $7 = $<<14+7=21>>21. So Manny will have $30 - $21 = $<<30-21=9>>9 left. #### 9 There were a total of 50 guests in a movie screening of which half of the guests are women, 15 are men, and the rest are children. In the middle of the movie, 1/5 of the men and 4 children left. How many people stayed? Being women half of the guests, there were 50/2 = <<50/2=25>>25 women in the movie screening. Adding the 15 men to the number of women guests, there were 25 + 15 = <<25+15=40>>40 men and women. From a total of 50 guests, 50 - 40 = <<50-40=10>>10 were children. Knowing 1/5 of the men left, 15/5 = <<15/5=3>>3 men left. Thus, 3 men + 4 children = <<3+4=7>>7 people left in all. Therefore, 50 - 7 = <<50-7=43>>43 people stayed. #### 43 Tina's bag contains nine apples, 5 oranges, and 17 tangerines. If she took away 2 oranges and 10 tangerines, how many more tangerines than oranges would she have left? Tina has 5-2 = <<5-2=3>>3 oranges. Tina has 17-10 = <<17-10=7>>7 tangerines. Tina has 7-3=<<7-3=4>>4 more tangerines than oranges. #### 4