1. You Will Be Able To: Write and Solve Systems Word Problems

2. Write an equation to represent the following situations if s represents the number of students and a represents the number of adults. 1.A movie theater sold 28 student and adult tickets. s + a= 28

3. 2. There were 8 more students than adults. s = a+ 8 3. There were twice as many adults as students. a = 2s

4. 4.ASB sold student tickets for $7 and adult tickets for $10 and made a total of $170. 7s + 10a= 170

5. Write a system of equations to represent the following situations, then solve.

6. 1.An adult ticket to a school play costs $5 and a child ticket costs $3. A total of $460 was collected from the sale of 100 tickets. How many child tickets were purchased? 5a + 3c= 460 a + c= 100

7. 5a + 3c= 460 a + c= 100 (–5) 5a + 3c = 460 -5a - 5c = -500 + - 2c =-40 c =20 20 child tickets

8. 2. A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band made $2000, how many of each ticket are sold? 15a + 10s= 2000 a + c= 150

9. 15a + 10c= 2000 a + c= 150 (–10) 15a + 10c = 2000 -10a -10c = -1500 + 5a =500 a =100 + c= 150 c = 50 50 child 100 adult

10. 3. A school sells sno-cones for $5 and cookies for $2 at a club fair to raise money. If they sell twice as many sno-cones as cookies and made $480, how many sno-cones did the school sell? 5s + 2c= 480 s = 2c

11. 5s + 2c= 480 s = 2c 5 (2c) + 2c= 480 10c + 2c= 480 12c= 480 c= 40 s = 2(40) s = 80 80 sno-cones

12. Write an equation to represents the following situations if d represents the number of dimes, n represents the number of nickels, and q represents the number of quarters. 1. A coin purse holds 38 coins in dimes and quarters. d + q= 38

13. 2. My pocket is filled with 16 coins in nickels and dimes. n + d= 16 3. The cash register has 12 more quarters than nickels. q = n+ 12

14. 4. A piggy bank as three times more dimes as quarters. d = q+ 3 5. You have $3.00 in dimes and quarters..10d +.25q= 3.00 10d + 25q= 300

15. 6. Spongebob has $16.35 in dimes and nickels. 10d + 5n= 1635

16. Write a system of equations to represent the following situations, then solve.

17. 1. A jar filled with only nickels and dimes contain a total of 18 coins. The value of all the coins in the jar is $1.50. How many of each coin is in the jar? 5n + 10d= 150 n + d= 18

18. 5n + 10d= 150 n + d= 18 (-10) 5n +10d= 150 -10n -10d= -180 + -5n = -30 n = 6 6 + d = 18 d = 12 12 dimes 6 nickels

19. 2. A piggy bank has 26 coins in nickels and quarters. It has 8 more nickels than quarters. How many nickels are in the piggy bank? n + q= 26 n = q+ 8

20. n + q= n = q+ 8 q + 8 + q= 26 2q+ 8 = 26 2q = 18 q = 9 n = 9 + 8 n = 17 17 nickels

21. 3. Sabrina has $1.80 in dimes and quarters. She has twice a many quarters than dimes. How many quarters does she have? 10d + 25q= 180 q = 2d

22. 10d + 25q= 180 q = 2d 10d + 25(2d)= 180 10d+ 50d = 180 60d = 180 d = 3 q = 2(3) q = 6