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WAEC 2023 · Paper 2 · Q2

In a football match, the tickets for children and adults were sold at D3.00 and D5.00 respectively. 400 people attended the match and D1,700.00 was collected in ticket sales.

  1. (a)

    How many tickets were sold to adults?

  2. (b)

    Mr. Sonko sold 250 tickets. If 175 of the tickets were for adults, how much sales (in D) did he make altogether?

Worked solution (try it first)

(a)

  1. Let cc children's tickets and aa adults' tickets be sold.
  2. How many: c+a=400c + a = 400 (1).
  3. How much: 3c+5a=17003c + 5a = 1700 (2).
  4. Multiply (1) by 3: 3c+3a=12003c + 3a = 1200 (3).
  5. Take (3) from (2): 2a=5002a = 500, so a=250a = 250. 250 tickets were sold to adults.

(b)

  1. Of his 250 tickets, 175 were for adults, so 250−175=75250 - 175 = 75 were for children.
  2. Sales =75×3+175×5= 75 \times 3 + 175 \times 5
    =225+875= 225 + 875
    == D1,100.00.

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