A baker bought cooking ingredients in the supermarket. She bought 3 boxes of flour that cost $3 each box, 3 trays of eggs that cost $10 for each tray, 7 liters of milk that cost $5 each liter, and 2 boxes of baking soda that cost $3 each box. How much will she have to pay for everything?

How much did the flour cost? ** The total cost for the flour is 3 x $3 = $

<<3*3=9>>9. How much did the eggs cost? ** The total cost of the tray of eggs is 3 x $10 = $<<3*10=30>>30. How much did the milk cost? ** The total cost for the liter of milk is 7 x $5 = $<<7*5=35>>35. How much did the baking soda cost? ** The total cost for the box of baking soda is 2 x $3 = $<<2*3=6>>6. How much did the ingredients cost? ** Therefore, the total cost for all the ingredients is $9 + $30 + $35 + $6 = $<<9+30+35+6=80>>80. #### 80 Timothy and Theresa go to the movies very often. Timothy went to the movies 7 more times in 2010 that he did in 2009. In 2009, Timothy went to the movies 24 times. In 2010 Theresa went to see twice as many movies as Timothy did, but in 2009, she only saw half as many as he did. How many movies did Timothy and Theresa go on in both 2009 and 2010? How many movies did Timothy watch in 2010? ** In 2010 Timothy watched 24+7 = <<24+7=31>>31 movies. How many movies did Theresa watch in 2010? ** In 2010 Theresa watched 31*2 = <<31*2=62>>62 movies. How many movies did Theresa watch in 2010? ** In 2009 Theresa watched 24/2 = <<24/2=12>>12 movies. How many movies did Timothy and Theresa go on in both 2009 and 2010? ** In both 2009 and 2010 Timothy and Theresa watched 24+31+62+12 = <<24+31+62+12=129>>129 movies. #### 129 Samara and three of her friends heard alligators spotted on the local river and decided to join a search organized by the wildlife service to capture the animals. After searching the whole day, Samara had seen 20 alligators while her friends had seen an average of 10 alligators each. Calculate the total number of alligators Samara and her friends saw. How many alligators did Samara's friends see? ** Each of Samara's friends saw an average of 10 alligators each, a total of 3*10 = <<3*10=30>>30 alligators. How many alligators did Samara and her friends see? ** Together, Samara and her friends saw 30+20 = <<30+20=50>>50 alligators. #### 50 A pet store has six dogs for sale. They have half as many cats, twice as many birds, and thrice as many fish for sale. How many animals are for sale in the pet store? How many cats are for sale in the pet store? ** The pet store has 6/2 = <<6/2=3>>3 cats for sale. How many birds are for sale in the pet store? ** They have 6 x 2 = <<6*2=12>>12 birds for sale. How many birds are for sale in the pet store? ** They have 6 x 3 = <<6*3=18>>18 birds for sale. How many animals are for sale in the pet store? ** Therefore, there are a total of 6 + 3 + 12 + 18 = <<6+3+12+18=39>>39 pets for sale. #### 39 A candy store sold 20 pounds of fudge for $2.50/pound, 5 dozen chocolate truffles for $1.50 each and 3 dozen chocolate-covered pretzels at $2.00 each. How much money did the candy store make? How much did the fudge cost? ** 20 pounds of fudge at $2.50/pounds is 20*2.50 = $<<20*2.50=50.00>>50.00 How many truffles were sold? ** The 5 dozen truffles were sold in individual units so a dozen is equal to 12 so 5*12=<<5*12=60>>60 How much did the truffles sell for? ** 60 chocolate truffles, at $1.50 each sold for 60*1.50 = $<<60*1.50=90.00>>90.00 How many chocolate pretzels were sold? ** The 3 dozen chocolate pretzels sold in individual units so a dozen is equal to 12 so 3*12 = <<3*12=36>>36 How much did the chocolate pretzels sell for? ** 36 chocolate pretzels sold for $2.00 each sold for 36*2 = $<<36*2=72.00>>72.00 How much money did the candy store make? ** All total, the store made 50+90+72 = $<<50+90+72=212.00>>212.00 from candy sales #### 212 Vanessa has decided to sell some of her clothes to make pocket money, offering a standard price for each type of item. She made a total of $69 by selling 7 dresses and 4 shirts. If she managed to sell each shirt for $5, how much did the dresses sell for each? Define a variable ** Let V be the cost of each dress. Write an equation ** (7 * V) + (4 * 5) = $69. Simplify ** So, 7 * V + 20 = $69. Simplify ** 7V = $49. Simplify ** V = $49/7. Simplify ** V = $<<7=7>>7. #### 7 The recipe for a four-person cake requires 2 eggs and 4 cups of milk. Tyler wants to use this recipe to make a cake for eight people. If Tyler has 3 eggs in the fridge, how many more eggs does Tyler need to buy? How many eggs does a cake for eight people need? ** A cake for eight people would require 8 / 4 = <<8/4=2>>2 times as many eggs as a 4 people cake. How many eggs does an 8-person cake need? ** If a 4-person cake requires 2 eggs, then an 8-person cake requires 2 x 2 = <<2*2=4>>4 eggs. How many more eggs does Tyler need to buy? ** Tyler needs to buy 4 - 3 = <<4-3=1>>1 more egg. #### 1 Sydney and Conner are having a three day rock collecting contest to see who can have the largest collection after adding to their existing collections. Before they start, Sydney has 837 rocks and Conner has 723. On day one, Sydney collects 4 rocks and Conner collects 8 times as many. On day two Sydney rests and Conner collects 123. On the third day, Sydney collects twice as many as Conner did on the first day. How many does Conner have to collect on day three to make sure he at least ties Sydney? How many rocks does Conner collect on day one? ** On day one Conner collects 32 rocks because 8 x 4 = <<8*4=32>>32 How many rocks does Sydney collect on day three? ** On day three Sydney collects 64 because 32 x 2 = <<32*2=64>>64 How many rocks does Sydney have after three days? ** After three days Sydney has 915 rocks because 837 + 0 + 4 + 64 =<<837+0+4+64=905>>905 How many rocks does Conner have before the third day? ** Before the third day Conner has 878 because 723 + 32 + 123 = <<723+32+123=878>>878 How many rocks does Conner need to collect on day three to tie Sydney? ** Conner needs to collect 37 on day three to tie Sydney because 905 - 878 = 27 #### 27 A thirsty traveler found an oasis in the desert. He drank 32 ounces of water. His camel drank seven times as much as he did. There are 128 ounces in a gallon. How many gallons of water did they drink altogether? How many ounces of water did the traveler’s camel drink? ** The traveler’s camel drank 7 * 32 = <<7*32=224>>224 ounces of water. How many ounces of water did the traveler and his camel drink altogether? ** Together, the traveler and his camel drank 32 + 224 = <<32+224=256>>256 ounces. How many gallons of water did they drink altogether? ** Thus, they drank 256 / 128 = <<256/128=2>>2 gallons of water altogether. #### 2 This year the Oscar swag bags include two diamond earrings that cost $6,000 each, a new iPhone that costs $2,000, and some designer scarves that each cost $1,500. If the total value of the swag bag is $20,000, how many scarves are there? How much do the diamond earrings cost? ** First find the total cost of the diamond earrings: $6,000/earring * 2 earrings = $<<6000*2=12000>>12,000 How much do the scarves cost? ** Then subtract the cost of the earrings and iPhone from the total cost of the bags to find the cost of all the scarves: $20,000 - $12,000 - $2,000 = $<<20000-12000-2000=6000>>6,000 How many scarves are there? ** Then divide the total cost of the scarves by the cost per scarf to find the number of scarves: $6,000 / $1,500/scarf = <<6000/1500=4>>4 scarves #### 4