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Three friends, Aaron, Bill, and Cody, want to chip in for supplies to build a skateboard ramp. Bill has three times as much money as Aaron, and Cody has five times as much money as Aaron. If together the three friends have [tex]$180[/tex], how much money does Bill have?

A. [tex]$100[/tex]
B. [tex]$60[/tex]
C. [tex]$40[/tex]
D. [tex]$20[/tex]



Answer :

GinnyAnswer
To solve this problem, we need to determine how much money Bill has based on the given conditions.

We know the following information:
1. The total amount of money the three friends have together is \[tex]$180. 2. Aaron has a certain amount of money, which we will call "a". 3. Bill has three times as much money as Aaron. 4. Cody has five times as much money as Aaron. Let's break it down step by step: 1. Let \( a \) be the amount of money Aaron has. 2. According to the problem, Bill has \( 3a \) (three times Aaron's money). 3. Cody has \( 5a \) (five times Aaron's money). 4. The total money they have together is \( a + 3a + 5a = 180 \). We can simplify this equation: \[ a + 3a + 5a = 180 \] \[ 9a = 180 \] Now, we solve for \( a \): \[ a = \frac{180}{9} = 20 \] So, Aaron has \$[/tex]20. Since Bill has three times as much money as Aaron:
[tex]\[ \text{Bill's money} = 3a = 3 \times 20 = 60 \][/tex]

Therefore, Bill has \[tex]$60. The correct answer is: b. \$[/tex]60

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