Penelope the pig eats 20 pounds of food per day, which is 10 times more than Greta the goose eats per day. Milton the mouse eats 1/100 as much as Greta the goose eats per day, but Elmer the elephant eats 4000 times more than Milton the mouse does per day. How much more, in pounds, does Elmer the elephant eat per day than Penelope the pig?

How much food does Greta the goose eat per day? ** Greta the goose eats 20/10=

<<20/10=2>>2 pounds of food per day. How much food does Milton the mouse eat per day? ** Milton the mouse eats (1/100)*2=1/50 of a pound of food per day. How much food does Elmer the elephant eat per day? ** Elmer the elephant eats 4000*(1/50)=<<4000*(1/50)=80>>80 pounds of food per day. How much more, in pounds, does Elmer the elephant eat per day than Penelope the pig? ** Thus, Elmer eats 80-20=60 pounds more food per day than does Penelope the pig. #### 60 Harold had 100 marbles. He kept 20 marbles and shared the rest evenly among his 5 friends. How many marbles did each friend get? How many marbles did Harold share? ** Harold shared 100 - 20 = <<100-20=80>>80 marbles with his friends. How many marbles did each friend get? ** Therefore, his 5 friends got 80/5 = <<80/5=16>>16 marbles each. #### 16 John's pool is 5 feet deeper than 2 times Sarah’s pool. If John’s pool is 15 feet deep, how deep is Sarah’s pool? Define a variable ** Let x be the number of feet in John’s pool Write an equation ** 2*x + 5=15 Simplify ** 2x=10 Simplify ** x=<<5=5>>5 #### 5 Tara is saving up to buy a new clarinet. She already has $10 saved. The clarinet costs $90. She plans to sell her old books to make the money. She sells each book of hers for $5. However, when she is halfway towards her goal, she loses all her savings and has to start over. How many books does she sell in total by the time she reaches her goal? How much money does Tara have halfway towards her goal? ** Halfway towards her goal is $45 because 90 / 2 = <<90/2=45>>45 How many books does Tara sell before she loses the money? ** She sells $35 worth of books before she loses the money because 45 - 10 = <<45-10=35>>35 How many books does Tara sell before losing the money? ** She sells 7 books before losing her money because 35 / 7 = <<35/7=5>>5 How many books does Tara sell after losing the money? ** She then sells 18 books because 90 / 5 = <<90/5=18>>18 How many books does Tara sell in total by the time she reaches her goal? ** She sells 25 books in total because 18 + 7 = <<18+7=25>>25 #### 25 Jenna is on a road trip. She drives for 2 hours at 60mph. She takes a bathroom break, and then she continues driving for 3 hours at 50 mph. She can drive for 30 miles on one gallon of gas. If one gallon of gas costs $2, how much money does she spend on gas for her trip? How many miles does Jenna drive in the first 2 hours? ** First she drives 2 hours * 60 mph = <<2*60=120>>120 miles How many miles does Jenna drive in the second 3 hours? ** Then she drives 3 hours * 50 mph = <<3*50=150>>150 miles How many miles does Jenna drive in total? ** The total miles driven is 120 + 150 = <<120+150=270>>270 miles How many gallons of gas does Jenna use? ** Jenna uses 270 / 30 = <<270/30=9>>9 gallons of gas. How much does Jenna spend on gas? ** The cost of gas is 9 * $2 = $<<9*2=18>>18 #### 18 The United States flag has 50 stars, one for every state in the union, and 13 stripes, which represent the original 13 colonies. Pete, inspired by history, decided to make his own flag. He used circles, to represent how many scoops of ice cream he can consume in one sitting, and squares, to represent the number of brownies he has hidden beneath his bed. For circles, he used 3 less than half the number of stars on the US flag, and for squares, he used six more than twice the number of stripes on the US flag. What is the combined total number of circles and squares on Pete's flag? How many stars are on the US flag? ** Half the number of stars on the US flag is 50/2=<<50/2=25>>25 How many circles are on Pete's flag? ** Three less than half the number of stars on the US flag is 25-3=<<25-3=22>>22 circles. How many stripes are on the US flag? ** Twice the number of stripes on the US flag is 13*2=<<13*2=26>>26. How many squares are on Pete's flag? ** Six more than twice the number of stripes on the US flag is 26+6=32 squares. What is the combined total number of circles and squares on Pete's flag? ** In total, Pete's flag has 22+32=<<22+32=54>>54 circles and squares. #### 54 Candied yams fly off the shelf during the holiday season. The store buys them in bulk boxes of 25 packages. If every third shopper buys a package of candied yams, how many bulk boxes of candied yams will the store need to order for their 375 predicted holiday shoppers? How many packages of candied yams will the store need? ** Every third shopper buys a package of candied yams, so the store will need 375 / 3 = <<375/3=125>>125 packages. How many bulk boxes of candied yams will the store need? ** At 25 packages per bulk box, the store will need 125 / 25 = <<125/25=5>>5 bulk boxes of candied yams. #### 5 The average of marks scored in four tests by Jake was 75. If jake scored 80 marks in the first test and 10 more in the second test, and an equal number of marks in the third and fourth test, calculate the marks he scored in the third test. How many marks did Jake score in the four tests? ** Since the average of marks scored in four tests by Jake was 75, the total marks that he scored in the four tests are 4*75 = <<4*75=300>>300 How many marks did Jake score in the second test? ** If jake scored 80 marks in the first test and 10 more in the second test, he scored 80+10= <<80+10=90>>90 marks in the second test. How many marks did Jake score in the first and second test? ** The combined marks for the first and the second test is 90+80 = <<90+80=170>>170 How many marks did Jake score in the third and fourth test? ** The total marks Jake scored in the third and fourth test is 300-170= <<300-170=130>>130 How many marks did Jake score in the third and fourth test? ** Since Jake scored an equal number of marks in the third and fourth tests, he scored 130/2 =<<130/2=65>>65 marks in each of the third and fourth tests. #### 65 Hazel put up a lemonade stand. She sold half her lemonade to a construction crew. She sold 18 cups to kids on bikes. She gave away half that amount to her friends. Then she drank the last cup of lemonade herself. How many cups of lemonade did Hazel make? How many cups of lemonade did Hazel sell? ** Hazel sold 18 cups of lemonade to kids on bikes and gave half that amount, or 18 / 2 = <<18/2=9>>9 cups, away to friends. How many cups of lemonade did Hazel sell? ** Hazel sold 18 cups + gave away 9 cups + drank 1 cup = <<18+9+1=28>>28 cups. How many cups of lemonade did Hazel sell to the construction crew? ** Since Hazel sold half her lemonade to a construction crew, that means the 28 cups she sold to kids on bikes, gave away to friends and drank herself are the other half, so she sold 28 cups to the construction crew. How many cups of lemonade did Hazel sell? ** In all, Hazel sold 28 + 28 = <<28+28=56>>56 cups of lemonade. #### 56 Aaron pays his actuary membership fees each year. The membership fee increases yearly by $10. If he pays $80 in the first year, how much does his membership cost, in dollars, in the sixth year? How much does Aaron pay in year 2? ** In year 2 he pays 80+10=$<<80+10=90>>90. How much does Aaron pay in year 3? ** In year 3 he pays 90+10=$<<90+10=100>>100. How much does Aaron pay in year 4? ** In year 4 he pays 100+10=$<<100+10=110>>110. How much does Aaron pay in year 5? ** In year 5 he pays 110+10=$<<110+10=120>>120. How much does Aaron pay in year 6? ** In year 6 he pays 120+10=$<<120+10=130>>130. #### 130