Piazzanos Pizzeria has a buy-1-get-1-free special on triple cheese pizzas, and a buy-2-get-1-free special on meat lovers pizzas. If the standard price for a pizza is $5, how much does it cost, in dollars, to purchase 10 triple cheese and 9 meat lovers pizzas using the special pricing?

Using buy-1-get-1-free pricing, it costs 1*$5=$

<<1*5=5>>5 to buy 2 triple cheese pizzas. At $5 per 2 pizzas, it costs $5/2=$<<5/2=2.5>>2.5 per triple cheese pizza. Using buy-2-get-1-free pricing, it costs 2*$5=$<<2*5=10>>10 to buy 3 meat lovers pizzas. At $10 per three pizzas, it cost $10/3=$3 and $1/3 per meat lovers pizza. With the buy-1-get-1-free pricing, 10 triple cheese pizzas are 10*$2.5=$<<10*2.5=25>>25. With the buy-2-get-1-free pricing, 9 meat lovers pizzas are 9*($3+$1/3)=$30. In total, for 10 triple cheese and 9 meat lovers pizzas, it will cost $25+$30=$55. #### 55 Kelly booked a three week vacation to visit relatives. The first day, she spent traveling. The next 5 days she spent at her Grandparents' house. The next day, she spent traveling. Then, she spends the next 5 days at her brother's house. Then she spent two days traveling to her sister's house, spent several days at her sister's house, and then spent two more days traveling home. How many days did she spend at her sister's house? Three weeks is 7*3=<<7*3=21>>21 days. She traveled one day to her grandparents' house, one day to her brother's house, two days to her sister's house, and two days back home for a total of 1+1+2+2=<<1+1+2+2=6>>6 days. She spent 5 days at her grandparents' house and 5 days at her brother's house, for a total of 5+5=<<5+5=10>>10 days. Thus, of the 21 vacation days, the number of days remaining to spend with her sister was 21-6-10=<<21-6-10=5>>5 days. #### 5 At the museum, Bethany saw 4 times more still lifes than portraits. If she saw 80 paintings total, how many portraits did she see? Let s be the number of still lifes Bethany saw and p be the number of portraits. We know that s + p = 80 and s = 4p. Substituting the second equation into the first equation, we get 4p + p = 80 Combining like terms, we get 5p = 80 Dividing both sides by 5, we get p = 16 #### 16 Tomas ate 1.5 pounds of chocolate fudge last week. Katya ate half a pound of peanut butter fudge, while Boris ate 2 pounds of fudge. How many ounces of fudge did the 3 friends eat in total? Tomas ate 1.5 * 16 = <<1.5*16=24>>24 ounces Katya ate 0.5 * 16 = <<0.5*16=8>>8 ounces Boris ate 2 * 16 = <<2*16=32>>32 ounces Total = 24 + 8 + 32 = <<24+8+32=64>>64 ounces The 3 friends ate 64 ounces of fudge in total. #### 64 The government donated tons of sand to four Cities. City A received 16 1/2 tons of sand, City B received 26 tons of sand, and City C received 24 1/2 tons of sand. The supplier lost the data for City D; however, they know the total for all four cities was 95 tons. How many tons of sand did City D receive? The total tons of sand donated to City A and City C is 16 1/2 + 24 1/2 = 41. The total tons of sand donated to City A, City B, and City C is 41 + 26 = <<41+26=67>>67. Therefore, City D received 95 - 67 = <<95-67=28>>28 tons of sand. #### 28 Chad is measuring the size of different countries. He sees that Canada is 1.5 times bigger than the United States and Russia is 1/3 bigger than Canada. How many times bigger is Russia than the United States? Canada equals 1.5 United States Russia equals 2 United States because 1.5 x (1 + 1/3) = <<2=2>>2 #### 2 Remy sold 55 bottles of soda in the morning. Nick sold six fewer bottles of soda than Remy. The price per bottle is $.50. If their total evening sales are $55, how much more did they earn in the evening than in the morning? Nick sold 55 - 6 = <<55-6=49>>49 bottles of soda in the morning. They sold 55 + 49 = <<55+49=104>>104 bottles of soda altogether. They earned a total of 104 x $.50 = $<<104*.50=52>>52 in the morning. So, they earned $55 - $52 = $<<55-52=3>>3 more in the evening than in the morning. #### 3 Leo and Ryan together have $48. Ryan owns 2/3 of the amount. Leo remembered that Ryan owed him $10 but he also owed Ryan $7. After the debts had been settled, how much money does Leo have? Ryan owns $48 x 2/3 = $<<48*2/3=32>>32 of the $48. While Leo owns $48 - $32 = $<<48-32=16>>16 of the $48. Leo had $16 + $10 = $<<16+10=26>>26 after Ryan paid him $10. But since he owed Ryan $7, then Leo has $26 - $7 = $<<26-7=19>>19. #### 19 Veronica, who is the team captain of their school football team, carried 27 yellow balls and 33 brown balls to the field for the team's matchday practice. What percentage of the balls that she carried were yellow? The total number of balls that she carried is 27+33=<<27+33=60>>60 The percentage that represents the yellow balls is 27/60*100%=<<27/60*100=45>>45% #### 45 On an American flag, the first stripe is red and half of the remaining stripes are also red. Each flag has 13 stripes. John buys 10 flags. How many red stripes are there? There are 13-1=<<13-1=12>>12 stripes left So there are 12/2=<<12/2=6>>6 red stripes So the total number of red stripes is 6+1=<<6+1=7>>7 red stripes So he has a total of 7*10=<<7*10=70>>70 red stripes #### 70