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?

Halfway towards her goal is $45 because 90 / 2 =

<<90/2=45>>45 She sells $35 worth of books before she loses the money because 45 - 10 = <<45-10=35>>35 She sells 7 books before losing her money because 35 / 7 = <<35/7=5>>5 She then sells 18 books because 90 / 5 = <<90/5=18>>18 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? First she drives 2 hours * 60 mph = <<2*60=120>>120 miles Then she drives 3 hours * 50 mph = <<3*50=150>>150 miles The total miles driven is 120 + 150 = <<120+150=270>>270 miles Jenna uses 270 / 30 = <<270/30=9>>9 gallons of 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? Half the number of stars on the US flag is 50/2=<<50/2=25>>25 Three less than half the number of stars on the US flag is 25-3=<<25-3=22>>22 circles. Twice the number of stripes on the US flag is 13*2=<<13*2=26>>26. Six more than twice the number of stripes on the US flag is 26+6=32 squares. 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? Every third shopper buys a package of candied yams, so the store will need 375 / 3 = <<375/3=125>>125 packages. 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. 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 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. The combined marks for the first and the second test is 90+80 = <<90+80=170>>170 The total marks Jake scored in the third and fourth test is 300-170= <<300-170=130>>130 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? 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. Hazel sold 18 cups + gave away 9 cups + drank 1 cup = <<18+9+1=28>>28 cups. 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. 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 $80 in the first year, how much does his membership cost, in dollars, in the sixth year? In year 2 he pays 80+10=$<<80+10=90>>90. In year 3 he pays 90+10=$<<90+10=100>>100. In year 4 he pays 100+10=$<<100+10=110>>110. In year 5 he pays 110+10=$<<110+10=120>>120. In year 6 he pays 120+10=$<<120+10=130>>130. #### 130 Merry is taking care of 10 lambs. Her brother takes care of 3 more lambs than Merry. How many lambs do Merry and her brother have? Merry's brother takes care of 10 + 3 = <<10+3=13>>13 lambs. So, together Merry and her brother have 10 + 13 = <<10+13=23>>23 lambs. #### 23 25% of oysters have pearls in them. Jamie can collect 16 oysters during each dive. How many dives does he have to make to collect 56 pearls? First find how many pearls Jamie collects per dive by multiplying the number of oysters by the chance each oyster has a pearl: .25 pearls/oyster * 16 oysters/dive = 4 pearls/dive Then divide the number of pearls he wants by the number of pearls per dive to find the number of dives: 56 pearls / 4 pearls/dive = <<56/4=14>>14 pearls/dive #### 14 The marching band has 110 members. There are 4 times as many percussion players as there are woodwind, and twice as many woodwinds as brass. How many brass players are there? Let x represent the number of brass players in the band Woodwind:2x Percussion:4(2x)=8x Total:x+2x+8x=110 11x=110 x=<<10=10>>10 #### 10