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?

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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step-by-step explanation:

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