Lucy has $65 in the bank. She made a $15 deposit and then followed by a $4 withdrawal. What is Lucy's bank balance?

Lucy had $65 + $15 = $

<<65+15=80>>80 after making a deposit. So, her bank balance is $80 - $4 = $<<80-4=76>>76 after making a withdrawal. #### 76 James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay? The next 100 channels cost 100/2=$<<100/2=50>>50 So the total cost is 100+50=$<<100+50=150>>150 So he pays 150/2=$<<150/2=75>>75 #### 75 If 3 crows eat 30 worms in one hour, how many worms will 5 crows eat in 2 hours? If 3 crows eat 30 worms in one hour, then each crow eats 30/3=<<30/3=10>>10 worms per hour. 5 crows will eat 5*10=<<5*10=50>>50 worms per hour. Over two hours, 5 crows will eat 2*50=100 worms. #### 100 Michael is baking a cake and needs 6 cups of flour. The only measuring cup he has is the 1/4 cup. He has an 8 cup bag of flour and realizes it would be faster to measure the flour he doesn't need, take it out of the bag, and then dump the rest of the bag into the bowl. How many scoops should he remove? He needs to remove 2 cups of flour because 8 minus 6 equals <<8-6=2>>2. He needs to use 8 scoops because 2 divided by .25 equals <<8=8>>8 #### 8 Donna is trying to figure out if her truck is over a particular bridge's weight limit. The bridge can hold 20,000 pounds. Donna's empty truck weighs 12,000 pounds. She's carrying 20 crates of soda that each weigh 50 pounds, 3 dryers that each weigh 3000 pounds, and twice as much weight in fresh produce as in soda. How much does Donna's fully loaded truck weigh? First find the total weight of the soda by multiplying the number of crates by the weight per crate: 20 crates * 50 pounds/crate = <<20*50=1000>>1000 pounds Then find the weight of the fresh produce by doubling the weight of the soda: 1000 pounds * 2 = <<1000*2=2000>>2000 pounds Now find the weight of the dryers by multiplying the quantity by the weight per item: 3 dryers * 3000 pounds/dryer = <<3*3000=9000>>9000 pounds Now add the empty truck's weight to the weight of all three groups of products to find the fully loaded weight: 12000 pounds + 1000 pounds + 2000 pounds + 9000 pounds = <<12000+1000+2000+9000=24000>>24000 pounds #### 24000 Every tree that Bart cuts down gives him 75 pieces of firewood. If he burns 5 logs a day from November 1 through February 28, how many trees will he need to cut down? November has 30 days, December has 31 days, January has 31 days and February has 28 days for a total of 30+31+31+28 = <<30+31+31+28=120>>120 days He burns 5 pieces of wood every day so 120*5 = <<120*5=600>>600 pieces of wood Every tree he cuts down supplies 75 pieces of firewood and he will burn 600 pieces so he needs 600/75 = <<600/75=8>>8 trees #### 8 The post office receives 60 letters and 20 packages per day. How many pieces of mail does it handle in six months if all the months have 30 days? First find the total number of pieces of mail the post office receives per day: 60 letters + 20 packages = <<60+20=80>>80 pieces of mail Then multiply the daily amount of mail by the number of days per month: 80 pieces/day * 30 days/month = <<80*30=2400>>2400 pieces/month Then multiply that number by 6 to find the total number of pieces of mail handled: 2400 pieces/month * 6 months = <<2400*6=14400>>14400 pieces #### 14400 Thirty-six marbles are divided between Mario and Manny in the ratio 4:5. If Manny decided to give 2 marbles to his brother, how many marbles does Manny have now? The marbles are divided into 4 + 5 = <<4+5=9>>9 parts. Each part consists 36/9 = <<36/9=4>>4 marbles. So Manny had 5 parts x 4 = <<5*4=20>>20 marbles. After giving 2 marbles to his brother, he now has 20 - 2 = <<20-2=18>>18 marbles left. #### 18 DeShaun always wins the award in English class for reading the most books over the summer. This year is no different. Summer break is 80 days long. When he arrives, he notifies the teacher that he read 60 books over the summer. Each book averaged 320 pages long. The person closest to him read 75% as much as he did. How many pages did the second person read on average each day of break? Deshaun read 19,200 pages because 60 x 320 = <<60*320=19200>>19,200 The person closest to him read 14, 400 pages because 19,200 x .75 = <<14400=14400>>14,400 They read 180 pages a day because 14, 400 / 80 = <<14400/80=180>>180 #### 180 Tricia is a third of Amilia’s age and Amilia is a quarter of Yorick’s age. Yorick is twice Eugene’s age and Khloe is a third of Eugene’s age. Rupert is 10 years older than Khloe but 2 years younger than Vincent who is 22 years old. How old, in years, is Tricia? Rupert is younger than Vincent by 2 years, so he is 22 years old – 2 years = <<22-2=20>>20 years old. Khloe is 10 years younger than Rupert so she is 20 years old – 10 years = 10 years old. Eugene is 3 times older than Khloe so he is 10 years old * 3 = <<10*3=30>>30 years old. Yorick is twice Eugene’s age so he is 30 years old * 2 = <<30*2=60>>60 years old. Amilia is a quarter of Yorick’s age so she is 60 years old / 4 = <<60/4=15>>15 years old. Tricia is a third of Amilia’s age so she is 15 years old / 3 = <<15/3=5>>5 years old. #### 5