Stephanie is decorating 24 cupcakes for a birthday party, but she needs more candles. She currently has a total of 30 candles. She wants to decorate half of the cupcakes with 1 candle each and the other half of the cupcakes with 2 candles each. How many additional candles does Stephanie need to complete the cupcakes?

How many candles does Stephanie need for the first half of the cupcakes? ** For half of the cupcakes, Stephanie wants to use 1 candle each. Since half of the cupcakes is 24/2 and she plans to use 1 candle each for this half of the cupcakes, Stephanie needs (24/2)*1 =

<<24/2*1=12>>12 candles for this half of the cupcakes. How many candles does Stephanie need for the second half of the cupcakes? ** For the other half of the cupcakes, Stephanie wants to use 2 candles. Therefore, she will need (24/2)*2 =<<24/2*2=24>>24 candles for this half of the cupcakes. How many candles does Stephanie need to complete the cupcakes? ** Because Stephanie needs 12 candles for half of the cupcakes and 24 candles for the other half, she needs a total of 12+24=<<12+24=36>>36 candles. How many additional candles does Stephanie need to complete the cupcakes? ** Since Stephanie needs 36 candles to decorate all the cupcakes and she currently has 30 candles, Stephanie needs 36-30= <<36-30=6>>6 additional candles. #### 6 Trent caught 180 tadpoles then let 75% of them go. How many did he keep? How many tadpoles did Trent release? ** First find the number of tadpoles Trent released: 180 tadpoles * .75 = <<180*.75=135>>135 tadpoles How many tadpoles did Trent keep? ** Then subtract the number he let go from the total number to find the number of tadpoles he keeps: 180 tadpoles - 135 tadpoles = <<180-135=45>>45 tadpoles #### 45 Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown? How much does an Uber ride cost? ** The cost of the Lyft ride is $22 - $3 = $<<22-3=19>>19 How much does a taxi ride cost? ** The original cost of the taxi ride is $19 - $4 = $<<19-4=15>>15 How much does Trevor tip the taxi driver? ** Trevor tips the taxi driver $15 * 0.20 = $<<15*0.20=3>>3 What is the total cost of the ride downtown? ** The total cost of the ride downtown is $15 + $3 = $<<15+3=18>>18 #### 18 Jose is a collector of fine wines. His private cellar currently holds 2400 bottles of imported wine and half as many bottles of domestic wine as imported wine. If Jose holds a party and the guests drink one-third of all his wine, how many bottles will remain in his cellar? How many bottles of domestic wine does Jose have? ** Jose has half as many bottles of domestic wine as imported wine, or 2400/2=<<2400/2=1200>>1200 bottles of domestic wine. How many bottles of wine does Jose have? ** In total, he has 2400+1200=<<2400+1200=3600>>3600 bottles of wine. How many bottles of wine will the guests drink? ** If the guests drink one-third of all his wine, then they will have consumed 3600/3=<<3600/3=1200>>1200 bottles of wine. How many bottles will remain in Jose's cellar? ** Thus, after the party, Jose's private cellar will have 3600-1200=<<3600-1200=2400>>2400 remaining bottles of wine. #### 2400 Chance boarded a plane departing from London to New York at 6:00 a.m. ET on Monday. He arrived in New York 18 hours later. If he took another plane flying to Cape town the day he arrived in New York and arrived in Cape town at 10:00 a.m ET on Tuesday, calculate the number of hours his flight took from New York to cape town. How many hours did Chance spend in New York? ** Eighteen hours later, after departing from London, Chance arrived in New York at 6:00+18 hours = 00:00 on Tuesday. How many hours did Chance spend on his flight from New York to Cape Town? ** If he arrived in cape town at 10:00 p.m. on Tuesday, his flight took 10:00-00:00 = 10 hours. #### 10 Edric's monthly salary is $576. If he works 8 hours a day for 6 days a week, how much is his hourly rate? How much is Edric's salary in a week? ** In a week, Edric's salary is $576/4 = $<<576/4=144>>144. How much does Edric earn in a day? ** In a day, Edric earns $144/6 = $<<144/6=24>>24. How much is Edric's hourly rate? ** Thus, his hourly rate is $24/8 = $<<24/8=3>>3. #### 3 Ian had twenty roses. He gave six roses to his mother, nine roses to his grandmother, four roses to his sister, and he kept the rest. How many roses did Ian keep? How many roses did Ian give? ** Ian gave a total of 6 + 9 + 4 = <<6+9+4=19>>19 roses. How many roses did Ian keep? ** Therefore, Ian kept 20 - 19 = <<20-19=1>>1 rose. #### 1 If one fourth of the engines are defective, and there are 5 batches of 80 engines each. How many engines are not defective? How many engines total are there? ** There are 80*5 = <<80*5=400>>400 engines in total. How many engines are defective? ** 400/4 = <<400/4=100>>100 of the engines are defective. How many engines are not defective? ** 400-100 = <<400-100=300>>300 of the engines are not defective. #### 300 Carla is making smoothies. If she uses 500 ml of watermelon puree and 100 ml of cream, how many 150 ml servings can she make? How many ml of watermelon puree and cream are used? ** First find the total volume of the smoothie mix: 500 ml + 100 ml = <<500+100=600>>600 ml How many servings can Carla make? ** Then divide the total volume by the volume per serving to find the number of servings: 600 ml / 150 ml/serving = <<600/150=4>>4 servings #### 4 Every morning, Carla puts 79 apples in her backpack to eat for lunch. Unfortunately, Buffy stole some of Carla's apples on the school bus, and 26 apples fell out of a hole on the bottom. So at lunchtime, Carla only had 8 apples remaining. How many apples did Buffy steal from Carla? How many apples did Buffy steal from Carla? ** Let B be the number of apples that Buffy stole. Then 79 - B - 26 = 8. How many apples did Buffy steal from Carla? ** Combining constants produces 53 - B = 8. How many apples did Buffy steal from Carla? ** Adding B to both sides produces 52 = B + 8 How many apples did Buffy steal from Carla? ** Thus the number of apples stolen by Buffy is B = 53 - 8 = <<53-8=45>>45. #### 45