Respuesta :
Answer: The required amount of money that Garrett has is 134.
Step-by-step explanation: Given that Garrett has one dollar less than three times as much money as Liz has and together they have $179.
We are to find the money that Garrett has.
Let $x and $y represents the amount of money that Garrett and Liz has respectively.
Then, according to the given information, we have
[tex]x=3y-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+y=179~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of x from equation (i) in (ii), we get
[tex]3y-1+y=179\\\\\Rightarrow 4y=179+1\\\\\Rightarrow 4y=180\\\\\Rightarrow y=\dfrac{180}{4}\\\\\Rightarrow y=45.[/tex]
So, from equation (i), we get
[tex]x=3\times45-1=135-1=134.[/tex]
Thus, the required amount of money that Garrett has is 134.
