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Systems of Equations: Word Problems

Set up a system of two equations (let x and y be the unknowns) and solve.

ExampleA theater sold 103 tickets for $816 in all. Adult tickets cost $12 and child tickets cost $5. How many adult and how many child tickets were sold?
x + y = 103
12x + 5y = 816 → 43 adult, 60 child
Answer: 43 adult, 60 child
  1. 1.A theater sold 108 tickets for $792 in all. Adult tickets cost $10 and child tickets cost $4. How many adult and how many child tickets were sold?
    Answer: child
  2. 2.A school play sold 91 tickets for $483 in all. Adult tickets cost $8 and child tickets cost $3. How many adult and how many child tickets were sold?
    Answer: child
  3. 3.Two numbers have a sum of 14 and a difference of 6. What are the two numbers?
    Answer:
  4. 4.Two numbers have a sum of 21 and a difference of 1. What are the two numbers?
    Answer:
  5. 5.Two numbers have a sum of 12 and a difference of 8. What are the two numbers?
    Answer: