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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 the upcoming vacation. They both have $20 in their bank account and they receive $10 per week for allowance. What if their cousin is going on the same trip but she has $60 in her account and she receives $15 per week for allowance, 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 the upcoming vacation. They both have $20 in their bank account and they receive $10 per week for allowance. What if their cousin is going on the same trip but she has $40 in her account and she receives $20 per week for allowance, 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 the upcoming vacation. They both have $20 in their bank account and they receive $10 per week for allowance. What if their cousin is going on the same trip but she has $45 in her account and she receives $20 per week for allowance, 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 children (under high school age) as adult tickets. Adult tickets cost $5, student tickets cost $3 and the children tickets cost $2. The PTSO’s total sales were $3900. How many adult attended the game? Solving EquationsExtension

  7. Keep in Mind… • They sold 400 more student tickets than adult tickets • Halfas many children (under high school age) as adult tickets. • Adult tickets cost $5, student tickets cost $3 and the children tickets cost $2. • The PTSO’s total sales was $3900.

  8. What are we trying to solve? • Let A represent the number of Students tickets sold • Identify other entities • Student tickets • Children tickets Questions to answer

  9. Identify other entities • Student tickets • They sold 400 more student tickets than adult tickets • Since they sold 200 more student tickets than adult tickets, the expressions is: • A+ 400 represents the number of student tickets sold Questions to answer

  10. Identify other entities • Children tickets • They sold half as many children tickets as adult tickets • Since they sold half as many children tickets as adult tickets, the expressions is: • represents the number of children tickets sold Questions to answer

  11. Put it all together ADULT tickets: Let A represent the number of Students 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. 5 (A)+ 3 (A+400) + 2( ) = 3900 Put it all together $5 $2 $3 # of student tickets # of childrentickets # of adult tickets Total

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

  14. Solve for A 5 (A)+ 3 (A+400) + 2( ) = 3900 5A + 3A + 1200 + A = 3900 9A + 1200 = 3900 9A + 1200 - 1200 = 3900 - 1200 9A = 2700 9 9 A = 300

  15. A = 300 adult tickets A + 400 = student tickets, 300 +400 = 700 student tickets = children tickets, 300/2 = 150 children tickets How many adults attended the game? 300 Number of tickets

  16. One solution • Infinitely Many Solutions • Two equal equations with the same rate and ultimately the same constant (after simplifying using distributive property) • No Solution • Two equal equations with same rate 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 m minutes is $31.20. 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. How long would you have to talk to have the same bill? Quiz

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