garrett has one dollar less than three times as much money as liz has. Together they have $179. How much money does Garett have?

Mathematics

2 answers:

Nitella [24]2 years ago

6 0

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

$x=3y-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+y=179~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Substituting the value of x from equation (i) in (ii), we get

$3y-1+y=179\\\\\Rightarrow 4y=179+1\\\\\Rightarrow 4y=180\\\\\Rightarrow y=\dfrac{180}{4}\\\\\Rightarrow y=45.$

So, from equation (i), we get

$x=3\times45-1=135-1=134.$

Thus, the required amount of money that Garrett has is 134.

jolli1 [7]2 years ago

5 0

Garett has $134 and Liz has $45

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MatroZZZ [7]

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