Question

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

Answer 1

Option 2.
`(v)/(2) + v + v-20 = 100` represents the total cost of the cards in terms of a JJ Vaughn card.

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

`t = (v)/(2) ,` take this as equation 1.

`v = s +20, s = v-20,` 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

`t+v+s = (v)/(2) + v + v-20 = 100.`

This is the second given option.