Question

Jimin, Taehyung, and Jungkook share $268. Taehyung has $20 more then Jimin and Jungkook has twice as much money as Taehyung. How much do Jimin and Taehyung have altogether?

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Answer 1

$124

Step-by-step-explanation:

Let's use variables to represent the amount of money each person has:

Let J represent the amount of money Jimin has.

Let T represent the amount of money Taehyung has.

Let K represent the amount of money Jungkook has.

From the information given:

1. Taehyung has $20 more than Jimin, so we can write this as:

`\sf T = J + 20`

2. Jungkook has twice as much money as Taehyung, so:

`\sf K = 2T`

Now, we know that the total amount they share is $268, so we can write the equation:

`\sf J + T + K = 268`

We can substitute the expressions for T and K from the first two equations into the third equation:

`\sf J + (J + 20) + 2(J + 20) = 268`

Now, let's simplify this equation:

`\sf J + J + 20 + 2J + 40 = 268`

Combine like terms:

`\sf 4J + 60 = 268`

Now, subtract 60 from both sides of the equation:

`\sf 4J = 268 - 60`

`\sf 4J = 208`

Finally, divide both sides by 4 to find the value of J (Jimin's money):

`\sf J =( 208 )/( 4)`

`\sf J = 52`

Now that we know Jimin has $52, we can find the amount Taehyung has:

`\sf T = J + 20`

`\sf T = 52 + 20`

`\sf T = 72`

So, Jimin has $52, and Taehyung has $72. To find how much Jimin and Taehyung have together:

`\sf Jimin + Taehyung = 52 + 72 = 124`

Jimin and Taehyung have $124 altogether.