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perfectionist Group Title

Who loves word problems! plz help me. Jamie spent twice as much money as Tina in a clothing store. Ariel spent half as much as Tina did. Christina spent half as much money as Ariel did. Ella spent 12 dollars, which was half as much as what Christina spent. How much did each girl spend?

  • 2 years ago
  • 2 years ago

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  1. Mertsj Group Title
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    x = amount tina spent 2x= amount jamie spent 1/2 x = amount ariel spent 1/2(1/2 x)= amount Christina spent 1/2 (1/2)(1/2 x) = amount Ella spent = 12

    • 2 years ago
  2. SmoothMath Group Title
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    Define some variables. J = money spent by Jamie T = money spent by Tina A = money spent by Ariel C = money spent by Christina E = money spent by Ella Jamie spent twice as much money as Tina in a clothing store. Ariel spent half as much as Tina did. Christina spent half as much money as Ariel did. Ella spent 12 dollars, which was half as much as what Christina spent. J = 2T A = 1/2 *T C = 1/2 *A E = 12 = 1/2 * C

    • 2 years ago
  3. Mertsj Group Title
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    So: \[\frac{1}{8}x=12\] \[x=96\]

    • 2 years ago
  4. Mertsj Group Title
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    You can figure out the rest.

    • 2 years ago
  5. SmoothMath Group Title
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    E = 12 1/2C = 12 -> C = 24 24 = 1/2 A -> A = 48 48 = 1/2 T -> T= 96 J = 96*2 -> J = 48

    • 2 years ago
  6. perfectionist Group Title
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    thanks !

    • 2 years ago
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