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Bellwork

The PTSO of West-East HS were selling tickets for the game against their rival, North-South HS. The PTSO received a $1500 donation from a booster and adult tickets cost $5. How many adults attended the game if the PTSO’s total sales were $3900.

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Bellwork

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  1. The PTSO of West-East HS were selling tickets for the game against their rival, North-South HS. The PTSO received a $1500 donation from a booster and adult tickets cost $5. How many adults attended the game if the PTSO’s total sales were $3900. Write an equation that represents this problem, then solve. Bellwork

  2. Lundy and his sister wanted to save money for an upcoming vacation. They both had $20 in their bank account and they receive $10 per week for allowance. Their cousin is going on the same trip. She had $60 in her account and she receives $15 per week for allowance. Lundy and his sister are competing with their cousin to see who can save more money. How many weeks will it take for Lundy and his sister to save up the same amount of money as their cousin? Solving Equations

  3. Lundy and his sister wanted to save money for an upcoming vacation. They both had $20 in their bank account and they receive $10 per week for allowance. Their cousin is going on the same trip. She had $40 in her account and she receives $20 per week for allowance. Lundy and his sister are competing with their cousin to see who can save more money. How many weeks will it take for Lundy and his sister to save up the same amount of money as their cousin? Question #1

  4. Lundy and his sister wanted to save money for an upcoming vacation. They both had $20 in their bank account and they receive $10 per week for allowance. Their cousin is going on the same trip. She had $45 in her account and she receives $20 per week for allowance. Lundy and his sister are competing with their cousin to see who can save more money. How many weeks will it take for Lundy and his sister to save up the same amount of money as their cousin? Question #2

  5. Solving Equations

  6. The PTSO of West-East HS were selling tickets for the game against their rival, North-South HS. They sold 400 more student tickets than adult tickets and half as many child (under high school age) tickets as adult tickets. Adult tickets cost $5, student tickets cost $3 and the children tickets cost $2 each. Total sales for the PTSO were $3900. How many adults attended the game? Solving EquationsExtension

  7. What should we Keep in Mind? • 400 more student tickets were sold than adult tickets. • Halfas many child tickets (under high school age) were sold compared to adult tickets. • Adult tickets cost $5 each, student tickets cost $3 each and child tickets cost $2 each. • Totalsales for the PTSO were $3,900.

  8. For what are we trying to solve? • How can we represent this with an equation? • Let arepresent the number of adult tickets sold • Identify other entities • Student tickets • Child tickets What Questions Must we answer?

  9. Identify other entities • Student tickets • How can we represent the number of student tickets? • 400 more student tickets were sold than adult tickets • a+ 400 can represent the number of student tickets sold Questions to answer

  10. Identify other entities • Child tickets • How can we represent the number of child tickets sold? • They sold half as many child tickets as adult tickets • represents the number of child tickets sold Questions to answer

  11. Put it all together ADULT tickets: Let arepresent the number of adult tickets sold STUDENT tickets: a+ 400 represents the number of student tickets sold CHILDREN tickets: represents the number of children tickets sold Total Sales : $3900

  12. Adult tickets cost $5, student tickets cost $3 and the children tickets cost $2. • The PTSO made $3900. • How can we represent this with an equation? $5 (a)+ $3 (a+400) + $2( ) = $3900 Put it all together # of child tickets # of student tickets Total # of adult tickets

  13. Make sense… • How many adult tickets were sold? • How many student tickets were sold? • How many children tickers were sold?

  14. Solve To Find the Number of Adult Tickets Sold 5 (a)+ 3 (a+400) + 2( ) = 3900 5a + 3a + 1200 + a = 3900 9a + 1200 = 3900 9a + 1200 - 1200 = 3900 - 1200 9 = 2700 9 9 a = 300

  15. a= 300 adults attended the game • How many students? • a+ 400 = student tickets, 300 +400 = 700 students attended • How many children? • = child tickets, 300/2=150 children attended How Many Students? Children?

  16. One solution • Infinitely Many Solutions • Two equations with the same rate of change and ultimately the same constant (after simplifying using distributive property) • No Solution • Two equations with same rate of change but different constants Solutions

  17. Pear Cellphone Company charges a monthly charge of $12.95 and $0.25 a minute per call. The bill for one month is $31.20. How many minutes were used? • Write an equation for this problem and solve to find the amount minutes used for the month. • What if you compared this company with the competitor, Banana Cellphone Company, who charges the $0.15 a minute rate but their monthly charge is $25.95. At what point (number of minutes) would the bills for each company be the same? • How many solutions are there? • Which company would you choose? Why? Quiz

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