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13 November, 20:30

Mr. Johnson bought 22 cupcakes and 30 drinks for his class. Ms. Richards bought 30 cupcakes and 35 drinks for her class. Mr. Johnson spent $44.40 and Ms. Richards spent $53.75.

How much does a cupcake cost?

$

How much does a drink cost?

$

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Answers (1)
  1. 13 November, 22:32
    0
    Cupcakes = c

    Drinks = d

    22 c + 30d = $44.40 ... eqn 1

    30c + 35d = $53.75 ... eqn 2

    Multiply eqn 1 by 7 and eqn 2 by 6

    154c + 210d = $310.80 ... eqn 3

    180c + 210d = $322.5 ... eqn 4

    Eqn 4 - eqn 3

    26 c = $11.70

    C = 11.7/26 = 45c

    Subst c = 45c in eqn 1

    $9.90 + 30d = $44.40

    d = ($44.40-$9.90) / 30 = $1.15
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