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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?



User Oliakaoil
by
8.4k points

1 Answer

5 votes

Answer:

$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.

User Buford
by
8.2k points

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