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Javon pays $100 for three baseball cards for his dad. The cost of the JJ Vaughn card, v, was half the cost of a Derek Thomas card, t. The JJ Vaughn card was $20 more than the cost of a Miguel Sosa card, s. Javon uses the equation t+v+s=100 to show how much he paid for the three cards.

Which expression represents the total cost of the three baseball cards in terms of the cost of a JJVaughn card?
A, B, C, or D

Javon pays 100 for three baseball cards for his dad The cost of the JJ Vaughn card v was half the cost of a Derek Thomas card t The JJ Vaughn card was 20 more t class=

Respuesta :

Option 2. [tex]\frac{v}{2} + v + v-20 = 100[/tex] represents the total cost of the cards in terms of a JJ Vaughn card.

Step-by-step explanation:

Step 1:

Assume the JJ Vaughn card cost v, the Derek Thomas card cost t, and the Miguel Sosa card cost s.

From the question, we have

[tex]t = \frac{v}{2} ,[/tex] take this as equation 1.

[tex]v = s +20, s = v-20,[/tex] take this as equation 2.

Step 2:

Since the total cost of all three cards is $100.

One card's cost is represented by equation 1, another card's cost is represented by equation 2 and the JJ Vaughn card is represented by v.

So adding the two equations and v, we get

[tex]t+v+s = \frac{v}{2} + v + v-20 = 100.[/tex]

This is the second given option.

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