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