Question

Juan sent t text messages last week. Carlos sent 5 fewer than juan. Rico sent 9 more than carlos. a) Write an expression for the total number of text messages sent by juan,carlos and Rico. Simplify your expression b) damita sent 5 more than double the number juan sent. Write an expression for the number of text messages sent by Damita c) Find an expression for the difference between the total number of text messages sent by Juan, Carlos and Rico, and the number sent by Damita. Simplify your expression

Answer 1

Answer:

a) 3t - 1

b) 2t+5

c) t - 6

Step-by-step explanation

Ans a) Juan = t

Carlos = t - 5

Rico = (t - 5) + 9 = t + 4

Total number of text = Juan + Carlos + Rico

                                    = t + t - 5 + t + 4

                                    = 3t - 1   (Simplification)

b) Damita = 2t+5 (5 more will be +5 and double the number than Juan will be 2t)

c) Difference = Ans. a) - Ans. b) This step is not to be written, it is for your understanding

Difference = (3t - 1) - (2t + 5)  {sign changes of the second expression only as you open the bracket with the negative sign outside}

Difference = 3t - 1 - 2t - 5 = 3t -2t -1 - 5 = t - 6