If Lyn donates $240 to a private organization each year where 1/3 of it goes to the community pantry project, 1/2 goes to the local crisis fund, 1/4 of the remaining goes to livelihood project funds, and the rest is for contingency funds. How much goes to contingency fund?

The community pantry project gets 240 x 1/3 = $

<<240*1/3=80>>80. The local crisis fund has 240 x 1/2 = $<<240*1/2=120>>120. The total funds allocated for the two funds is $80 + $120 = $<<80+120=200>>200. So, $240 - $200 = $<<240-200=40>>40 are left for the other 2 funds. The livelihood project gets $40 x 1/4 = $<<40*1/4=10>>10. This means that the contingency fund is $40 - $10 = $<<40-10=30>>30. #### 30 The government gives the bottom 20% of people a $2000 stimulus. They have found that this kind of stimulus returns 5 times as much money to the government, in terms of tax revenue, as it cost. The city has 1000 people in it. What was the government profit from this project? They gave money to 1000*.2=<<1000*.2=200>>200 people It cost 200*2000=$<<200*2000=400000>>400,000 There was a 5 to 1 return so the government collected 5*400000=$<<5*400000=2000000>>2,000,000 That means the profit was 2,000,000-400,000=$<<2000000-400000=1600000>>1,600,000 #### 1600000 In soccer, players receive yellow cards when they are cautioned and red cards when they are sent off. Coach Tim has a team of 11 players, 5 of them didn't receive cautions, the rest received one yellow card each. How many red cards would the whole team collect, knowing that each red card corresponds to 2 yellow cards? In coach Tim's team, 5 out of 11 players did not receive any caution, so 11 - 5 = <<11-5=6>>6 players were cautioned. Each cautioned player received a yellow card, so all the cautioned players received 6 * 1 =<<6*1=6>>6 yellow cards. Knowing that each red card corresponds to 2 yellow cards, the team would have 6 / 2 = <<6/2=3>>3 red cards. #### 3 Dennis wants to buy 4 pairs of pants from the store which cost $110.00 each with a 30% discount and he also wants to buy 2 pairs of socks which cost $60.00 with a 30% discount. How much money will Dennis have to spend in total after he bought all the items he wants after the discount? Dennis wants to buy 4 pairs of pants which cost 110x4= $<<110*4=440>>440. And he also wants to buy 2 pairs of socks that cost 60x2= $<<60*2=120>>120. The total amount he needs to spend without the discount is 440+120= $<<440+120=560>>560. The discount he will have amounts to $560x.0.30= $168.00. So the total amount he needs to spend after deducting the discount from the total amount is 560-168=$<<560-168=392>>392. #### 392 If 60% of the students at school are girls and the number of boys is 300, how many girls are at the school? Boys make up 100% - 60% = 40% of the total number of students. The total number of students at the school is 300 / (40/100) = <<300/(40/100)=750>>750 students. Since 60% of the students are female, there are (60/100) * 750 = <<60/100*750=450>>450 female students. #### 450 Sarah walked to school carrying a bag containing 25 apples. At school, she gave each teacher she saw an apple. She also gave a single apple to each of 5 of her closest friends. And while she walked home, she also ate one of the apples. If she had three apples left in the bag when she got home, how many apples had she given away to teachers? Of her original 25 apples, Sarah gave five to friends, meaning she has no more than 25-5=<<25-5=20>>20 apples available to give to teachers. She ate one while walking home, meaning she had no more than 20-1=<<20-1=19>>19 apples available to give to teachers. And since she had three apples remaining when she got home, then the amount she had given to teachers was 19-3=<<19-3=16>>16 apples. #### 16 One dandelion seed floated onto Mrs. Middleton's lawn, landed on good soil, and began to grow. After one month, the dandelion plant had grown to full size and developed a flower. At the end of the second month, the flower turned to 50 fluffy, white seeds, which blew onto the lawn. Only half of these seeds landed onto good soil, germinated, and began to grow, just as the first seed had done. If each of these new seedling plants produces the same number of seeds in the same amount of time as the original plant, what is the total number of seeds that these newest plants will produce in two months' time? Half of the 50 seeds, or 50/2=<<50/2=25>>25 seeds germinated and grew. If each of the 25 plants produces 50 seeds, then a total of 25*50=<<25*50=1250>>1250 seeds would be produced. #### 1,250 If eight liters is 20% the capacity of a container filled with water, calculate the total capacity of 40 such containers filled with water. If eight liters is 20% the capacity of a container filled with water, when the container is full, which is 100%, the container will contain 100%/20% * 8 liters= 40 liters. The total capacity of 40 such containers filled with water is 40*40 = <<40*40=1600>>1600 liters #### 1600 Milton has some books about zoology and 4 times as many books about botany. If he has 80 books total, how many zoology books does he have? Let z be the number of zoology books and b be the number of botany books. We know that z + b = 80 and b = 4z. Substituting the second equation into the first equation, we get z + 4z = 80 Combining like terms, we get 5z = 80 Dividing both sides by 5, we get z = 16 #### 16 Maria has a pen and a pencil. She bought the pen for half the price of the pencil. The pencil cost her $8. How much did Maria pay for both the pen and the pencil? The pen is half the price of the pencil, so it's 8 * 0.5 = $<<8*0.5=4>>4. So both the pen and the pencil cost Maria 8 + 4 = $<<8+4=12>>12. #### 12