There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

How many red cards are there? ** The number of red cards in the box, 2/5 of the total number, is 2/5*120 =

<<2/5*120=48>>48. How many cards are not red? ** The number of cards that are not red is 120-48 = <<120-48=72>>72. How many black cards are there? ** If 5/9 of the remaining cards are black, then there are 5/9*72 = <<5/9*72=40>>40 black cards in the box. How many green cards are there? ** If the remaining cards are green, then there are 72-40 = <<72-40=32>>32 green cards in the box. #### 32 Jackson and Brandon both invest $500 in the stock market. Jackson's investment quadruples in value, while Brandon's is reduced to 20% of the initial value. How much more money does Jackson have than Brandon now? How much money does Jackson have now? ** First find the end value of Jackson's investment: $500 * 4 = $<<500*4=2000>>2000 How much money does Brandon have now? ** Then find the end value of Brandon's investment: 20% * $500 = $<<20*.01*500=100>>100 How much more money does Jackson have than Brandon now? ** Then subtract the value of Brandon's investment from the value of Jackson's investment to find the difference: $2000 - $100 = $<<2000-100=1900>>1900 #### 1900 Yulia was able to net $44 in profit this week. Her lemonade stand made a gross revenue of $47 this week. She was also able to babysit and made $31. However, her lemonade stand is expensive to run because she needs to buy lemons, sugar, and sunscreen. How much did she spend to operate her lemonade stand, in dollars? How much did Yulia make in total? ** Yulia's total gross revenue was $47 + $31 = $<<47+31=78>>78. How much did Yulia spend to operate her lemonade stand? ** To calculate her overhead we must subtract her total profit from her gross revenue which is $78 - $44 = $<<78-44=34>>34. #### 34 Three old cars displayed in an auction event have different manufacture dates. The first car, made in 1970, was made 10 years earlier than the second car. The third car was manufactured 20 years later after the second car was manufactured. Calculate the year that the third car was made. How old was the second car? ** If the first car was made 10 years earlier than the second car, then the manufacture date for the second car is 1970+10 = 1980 How old was the third car? ** The third car was manufactured 20 years after the second car was made, which is 1980+20 = 2000 #### 2000 Sally is saving up for a trip to Sea World. She already has $28 saved. It costs her $10 to park, $55 to get into the park and $25 for a meal pass. Sea World is 165 miles away and her car gets 30 miles per gallon of gas. If gas costs $3 a gallon, how much more will she have to save up? How many miles will she be driving? ** She will be driving 330 miles for her trip because 2 x 165 = <<2*165=330>>330 How many gallons of gas will they need? ** They will need 11 gallons of gas because 330 / 30 =<<330/30=11>>11 How much will the gas cost? ** The gas will cost $33 because 11 x 3 = <<11*3=33>>33 How much will her total cost be? ** Her total cost is $123 because 10 + 55 + 25 + 33 = <<10+55+25+33=123>>123 How much more does she need to save? ** She needs to save $95 more because 123 - 28 = <<123-28=95>>95 #### 95 If 1 ounce of Dawn liquid soap can make 200,000 bubbles, and Dr. Bronner's liquid soap can make twice as many bubbles per ounce as Dawn liquid soap, then how many bubbles can be made from one half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps? How many ounces are in one half of a 1/2-ounce liquid? ** One half of a 1/2-ounce liquid is (1/2)*(1/2)=1/4 ounces. How many bubbles can be made from 1/4 ounce of Dawn liquid soap? ** 1/4 ounce of Dawn liquid soap can make (1/4)*200,000=<<(1/4)*200000=50000>>50,000 bubbles. How many bubbles can be made from 1/4 ounce of Dr. Bronons liquid soap? ** 1/4 ounce of Dr. Bronner's liquid soap can make 2*(1/4)*200,000=100,000 bubbles. How many bubbles can be made from a half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps? ** Therefore, a half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps can make 50,000+100,000=<<50000+100000=150000>>150,000 bubbles. #### 150,000 Georgia is sick and coughs 5 times a minute. Her brother Robert is also sick but he coughs twice as much as her. After 20 minutes, how many times have they coughed? How many coughs does Robert have? ** Robert coughs twice as much as Georgia who coughs 5 times so Robert coughs 2*5 = <<10=10>>10 coughs per minute How many times do they cough together? ** Georgia coughs 5 times and Robert coughs 10 times so together they cough 5+10 = <<5+10=15>>15 times per minute How many coughs will they have after 20 minutes? ** After 20 minutes they will have coughed 15*20 = <<15*20=300>>300 coughs #### 300 Tom got 40 oranges and 70 apples. If he sold 1/4 of the oranges and 1/2 of the apples. How many fruits were left in total? How many oranges and apples are there altogether? ** There are 40 + 70 = <<40+70=110>>110 oranges and apples altogether . How many oranges did Tom sell? ** He sold 40 x .25 = <<40*.25=10>>10 pieces of oranges. How many apples did Tom sell? ** He sold 70 x .50 = <<70*.50=35>>35 pieces of apples. How many oranges and apples were left in total? ** So, Tom was left with 110 - 10 - 35 = <<110-10-35=65>>65 pieces. #### 65 Eighteen hours ago, Beth and I took 100 photographs of our project. Today, Beth and I will take 20% fewer photographs of the same project. If we were to take 300 photographs of the project, how many photographs would we take to reach the target? How many fewer photographs have been taken today? ** If you took 100 photographs of the project 18 hours ago, and today 20% few photographs have been taken, then 20/100*100 = 20 fewer photographs of the project have been taken today. How many photographs have been taken today? ** The total number of photographs of the project that have been taken today is 100-20 = <<100-20=80>>80 How many photographs have been taken so far? ** So far, you've taken 80+100 = <<80+100=180>>180 photographs of the project. How many photographs do you need to take to reach the target? ** Since the target number of photographs is 300, the number of photographs that you need to take to reach the target is 300-180 = <<300-180=120>>120 #### 120 Ali has a small flower shop. He sold 4 flowers on Monday, 8 flowers on Tuesday and on Friday, he sold double the number of flowers he sold on Monday. How many flowers does Ali sell? How many flowers did Ali sell on Tuesday and Monday? ** Combining Tuesday and Monday, Ali sold 4 + 8 = <<4+8=12>>12 flowers. How many flowers did Ali sell on Friday? ** On Friday, he sold 2 * 4 = <<2*4=8>>8 flowers. How many flowers did Ali sell in total? ** Altogether, Ali sold 12 + 8 = <<12+8=20>>20 flowers. #### 20