Three friends go bowling.​ Dennis's score is 46 points greater than​ Amanda's score.​ Amanda's score is 70 points less than​ Jorge's score. If​ Jorge's score is​ 128, what is​ Dennis' score?

Respuesta :

Answer:

Dennis's score = 104

Step-by-step explanation:

Let us represent:

Dennis's score = x

Amanda's score = y

Jorge's score = z

Three friends go bowling.​

Dennis's score is 46 points greater than​ Amanda's score.

x = 46 + y

​ Amanda's score is 70 points less than​ Jorge's score.

y = z - 70

If​ Jorge's score is​ 128

z = 128

what is​ Dennis' score?

Step 1

we solve for y = Amanda's score

y = z - 70

z = 128

y = 128 - 70

y = 58

Step 2

We solve for Dennis's score

x = 46 + y

x = 46 + 58

x = 104

Dennis's score = 104