Question

Two friends went to Best Buy and bought Pokemon cards and baseball cards. Each Pokemon card was the same price and each baseball card was the same price. The first friend paid $12 for 14 pokemon cards and 5 baseball cards. The second friend paid $24.80 for 10 pokemon cards and 15 baseball cards. What was the cost of each baseball card?

A.

$1.42


B.

$0.35


C.

$ 1.15


D.

$0.63

Answer 1

To determine the cost of each baseball card, we solved two linear equations derived from the transactions. We found that the price of each Pokemon card was $0.35, and using that information, we calculated the price of a baseball card to be $1.42.

Step-by-step explanation:

To find the cost of each baseball card, we must solve a system of linear equations based on the information given about the purchases made by the two friends at Best Buy. We will use the following variables: let 'p' represent the price of one Pokemon card and 'b' represent the price of one baseball card.

The first friend's purchase gives us the equation:

14p + 5b = $12

The second friend's purchase gives us the equation:

10p + 15b = $24.80

We can solve this system of equations using substitution or elimination. In this case, we'll use elimination.

Multiply the first equation by 3 to align the coefficients of 'b':

42p + 15b = $36

Now, subtract the second equation from this result:

(42p + 15b) - (10p + 15b) = $36 - $24.80

32p = $11.20

p = $11.20 / 32

p = $0.35

Now that we have the price of a Pokemon card, we can find the price of a baseball card using either of the original equations. Substituting p = $0.35 into the first equation:

14($0.35) + 5b = $12

4.90 + 5b = $12

5b = $12 - $4.90

5b = $7.10

b = $7.10 / 5

b = $1.42

Therefore, the cost of each baseball card is $1.42, which corresponds to choice A.

Answer 2

A, $1.42. i found this answer plugging in 1.42 and seeing if it would work or not