Ken created a care package to send to his brother, who was away at boarding school. Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds. Then, he added enough brownies to cause the weight to triple. Next, he added another 2 pounds of jelly beans. And finally, he added enough gummy worms to double the weight once again. What was the final weight of the box of goodies, in pounds?

How many pounds of brownies did Ken add? ** To the initial 2 pounds of jelly beans, he added enough brownies to cause the weight to triple, bringing the weight to 2*3=

<<2*3=6>>6 pounds. How many pounds of jelly beans did Ken add? ** Next, he added another 2 pounds of jelly beans, bringing the weight to 6+2=<<6+2=8>>8 pounds. How many pounds of gummy worms did Ken add? ** And finally, he added enough gummy worms to double the weight once again, to a final weight of 8*2=<<8*2=16>>16 pounds. #### 16 Alexis is applying for a new job and bought a new set of business clothes to wear to the interview. She went to a department store with a budget of $200 and spent $30 on a button-up shirt, $46 on suit pants, $38 on a suit coat, $11 on socks, and $18 on a belt. She also purchased a pair of shoes, but lost the receipt for them. She has $16 left from her budget. How much did Alexis pay for the shoes? Define a variable ** Let S be the amount Alexis paid for the shoes. How much did Alexis spend? ** She spent S + 30 + 46 + 38 + 11 + 18 = S + <<+30+46+38+11+18=143>>143. How much did Alexis spend? ** She used all but $16 of her budget, so S + 143 = 200 - 16 = 184. How much did Alexis pay for the shoes? ** Thus, Alexis paid S = 184 - 143 = $<<184-143=41>>41 for the shoes. #### 41 Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make? How much does Tina make in an 8-hour shift? ** She works 8 hours a day for $18 per hour so she makes 8*18 = $<<8*18=144.00>>144.00 per 8-hour shift How many hours of overtime does Tina get? ** She works 10 hours a day and anything over 8 hours is eligible for overtime, so she gets 10-8 = <<10-8=2>>2 hours of overtime How much does Tina make in overtime? ** Overtime is calculated as time and a half so and she makes $18/hour so her overtime pay is 18*.5 = $<<18*.5=9.00>>9.00 How much does Tina make in overtime? ** Her overtime pay is 18+9 = $<<18+9=27.00>>27.00 How much does Tina make in a week? ** Her base pay is $144.00 per 8-hour shift and she works 5 days and makes 5 * $144 = $<<144*5=720.00>>720.00 How much does Tina make in overtime? ** Her overtime pay is $27.00 per hour and she works 2 hours of overtime per day and makes 27*2 = $<<27*2=54.00>>54.00 in overtime pay How much does Tina make in overtime? ** 2 hours of overtime pay for 5 days means she makes 54*5 = $270.00 How much does Tina make in a week? ** In 5 days her base pay is $720.00 and she makes $270.00 in overtime pay so she makes $720 + $270 = $<<720+270=990.00>>990.00 #### 990 A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years? Define a variable ** Let S be the number of people on the first hundred years’ ship. How many people were on the second hundred years’ ship? ** The second hundred years’ ship had twice as many as the first, so it had 2S people. How many people were on the third hundred years’ ship? ** The third hundred years’ ship had twice as many as the second, so it had 2 * 2S = <<2*2=4>>4S people. How many people were on the ships? ** All the ships had S + 2S + 4S = 7S = 847 people. How many people were on the first hundred years’ ship? ** Thus, the ship that the monster ate in the first hundred years had S = 847 / 7 = <<847/7=121>>121 people on it. #### 121 Tobias is buying a new pair of shoes that costs $95. He has been saving up his money each month for the past three months. He gets a $5 allowance a month. He also mows lawns and shovels driveways. He charges $15 to mow a lawn and $7 to shovel. After buying the shoes, he has $15 in change. If he mows 4 lawns, how many driveways did he shovel? How much money did Tobias save up? ** He saved up $110 total because 95 + 15 = <<95+15=110>>110 How much money did Tobias save from his allowance? ** He saved $15 from his allowance because 3 x 5 = <<3*5=15>>15 How much money did Tobias earn mowing lawns? ** He earned $60 mowing lawns because 4 x 15 = <<4*15=60>>60 How much money did Tobias earn shoveling driveways? ** He earned $35 shoveling driveways because 110 - 60 - 15 = <<110-60-15=35>>35 How many driveways did Tobias shovel? ** He shoveled 5 driveways because 35 / 7 = <<35/7=5>>5 #### 5 Randy has 60 mango trees on his farm. He also has 5 less than half as many coconut trees as mango trees. How many trees does Randy have in all on his farm? How many mango trees does Randy have? ** Half of the number of Randy's mango trees is 60/2 = <<60/2=30>>30 trees. How many coconut trees does Randy have? ** So Randy has 30 - 5 = <<30-5=25>>25 coconut trees. How many trees does Randy have in all on his farm? ** Therefore, Randy has 60 + 25 = <<60+25=85>>85 treeson his farm. #### 85 Jasper will serve charcuterie at his dinner party. He buys 2 pounds of cheddar cheese for $10, a pound of cream cheese that cost half the price of the cheddar cheese, and a pack of cold cuts that cost twice the price of the cheddar cheese. How much does he spend on the ingredients? How much does a pound of cream cheese cost? ** A pound of cream cheese cost $10 / 2 = $<<10/2=5>>5. How much does a pack of cold cuts cost? ** A pack of cold cuts cost $10 x 2 = $<<10*2=20>>20. How much did Jasper spend on the ingredients? ** Jasper spent $10 + $5 + $20 = $<<10+5+20=35>>35 on the ingredients. #### 35 Joy can read 8 pages of a book in 20 minutes. How many hours will it take her to read 120 pages? How many minutes are in an hour? ** In one hour, there are 3 sets of 20 minutes. How many pages can Joy read in an hour? ** So, Joy can read 8 x 3 = <<8*3=24>>24 pages in an hour. How many hours will it take Joy to read 120 pages? ** It will take her 120/24 = <<120/24=5>>5 hours to read 120 pages. #### 5 James creates a media empire. He creates a movie for $2000. Each DVD cost $6 to make. He sells it for 2.5 times that much. He sells 500 movies a day for 5 days a week. How much profit does he make in 20 weeks? How much did each DVD cost? ** He sold each DVD for 6*2.5=$<<6*2.5=15>>15 How much profit does he make? ** So he makes a profit of 15-6=$<<15-6=9>>9 How much profit does he make in a day? ** So each day he makes a profit of 9*500=$<<9*500=4500>>4500 How much profit does he make in 5 days? ** So he makes 4500*5=$<<4500*5=22500>>22,500 How much profit does he make in 20 weeks? ** He makes 22,500*20=$<<22500*20=450000>>450,000 How much profit does he make after the cost of creating the movie? ** Then after the cost of creating the movie he has a profit of 450,000-2000=$<<450000-2000=448000>>448,000 #### 448000 The profit from a business transaction is shared among 2 business partners, Mike and Johnson in the ratio 2:5 respectively. If Johnson got $2500, how much will Mike have after spending some of his share on a shirt that costs $200? How many parts does Johnson get? ** According to the ratio, for every 5 parts that Johnson gets, Mike gets 2 parts How much does Johnson get? ** Since Johnson got $2500, each part is therefore $2500/5 = $<<2500/5=500>>500 How much will Mike have after spending some of his share on a shirt that costs $200? ** Mike will get 2*$500 = $<<2*500=1000>>1000 How much will Mike have after buying the shirt? ** After buying the shirt he will have $1000-$200 = $<<1000-200=800>>800 left #### 800