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9 November, 07:43

Laura, Chau, and Jose sent a total of 152 text messages. Jose sent 4 times as many messages as Laura. Laura sent 8 fewer than Chau. How many messages did they each send?

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  1. 9 November, 08:12
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    The number if texts sent by Chau = 32

    The number of texts sent by Laura = 24

    The number of texts sent by Jose = 96

    Step-by-step explanation:

    The total number of sent texts = 152

    Let us assume the number of texts sent by Chau = k

    So, the number of texts sent by Laura = 8 fewer than Chau = k - 8

    Also, the number of texts sent by Jose = 4 times as many messages as Laura

    = 4 x (k-8)

    So, now the total number of texts = texts sent by (Chau + Jose + Laura)

    or, 152 = k + (k-8) + 4 (k-8)

    ⇒ k + 5 (k-8) = 152

    or, k + 5 k - 40 = 152

    or, 6 k = 192

    or, k = 32

    So, the number if texts sent by Chau = k = 32

    The number of texts sent by Laura = k - 8 = 24

    The number of texts sent by Jose = 4 (24) = 96
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