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

2 Answers

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Final answer:

Garrett has $134. This was calculated by setting up an equation to represent their combined money and solving for Liz's amount first, then using it to find Garrett's amount.

Step-by-step explanation:

To solve this problem, we need to set up an equation based on the information given. Let's let L represent the amount of money Liz has. According to the question, Garrett has one dollar less than three times as much money as Liz. This can be expressed as 3L - 1. Together, their total amount of money is $179, so the equation to represent this situation is:

L + (3L - 1) = 179

Then we combine like terms:

4L - 1 = 179

Now, we add 1 to both sides of the equation:

4L = 180

Next, we divide both sides by 4 to find the value of L:

L = 45

Now that we know Liz has $45, we can find out how much Garrett has:

3L - 1 = 3(45) - 1 = 135 - 1 = 134

So, Garrett has $134.

User Ivan Lymar
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3 votes

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=(180)/(4)\\\\\Rightarrow y=45.

So, from equation (i), we get


x=3*45-1=135-1=134.

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