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19 August, 14:50

Solve this problem by using a two order system. A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66? a0 18¢ stamps and a1 13¢ stamps

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  1. 19 August, 15:24
    0
    Given a0 18¢ stamps and a1 13¢ stamps

    a0 + a1 = 42

    and

    0.18a0 + 0.13a1 = 6.66

    multiply first eqn by 0.13

    0.13a0 + 0.13a1 = 42*0.13 = 5.46

    subtract that from second eqn

    0.18a0 - 0.13a0 = 6.66 - 5.46

    0.05a0 = 1.20

    a0 = 24

    a1 = 42 - a0 = 42 - 24

    a1 = 18
  2. 19 August, 17:43
    0
    0.13x+0.18 (42-x) = 6.66

    Solve for x

    X=18 for 0.13

    42-18=24 for 0.18
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