tyronethomany tyronethomany
  • 01-10-2020
  • Mathematics
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Zabato is thinking of a number. Three times the sum of the number and ten is the same as eight time the number. What is zabato's number?

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SoccerMe996
SoccerMe996 SoccerMe996
  • 01-10-2020

Answer:

Zabato is thinking of 6

Step-by-step explanation:

I first set it up as an equation based on the word problem you have given me

(n + 10)3 = 8n

Distribute the 3

3n + 30 = 8n

Isolate n

3n - 8n +30 - 30 = 8n - 8n - 30

-5n = -30

-5n/-5 = -30/-5

n = 6

To check replace 6 with n

(6 + 10)3 = 8 (6)

(16)3 = 48

48 = 48

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