Daryl has a total of 160 National Football League (NFL) trading cards from both the American Football Conference (AFC) and the National Football Conference (NFC). The number of AFC cards is 8 more than three times the number of NFC cards. Which system of equations can be used to find how many AFC cards, A, and NFC cards, N, Daryl has?

A.

A = 3N

A - 160 = N

B.

A + N = 160

A = 3N + 8

C.

A + N = 160

N = 3A - 8

D.

A - N = 160

N = 3A + 8

Question

Mathematics

Makena Bray

2 March, 03:01

Daryl has a total of 160 National Football League (NFL) trading cards from both the American Football Conference (AFC) and the National Football Conference (NFC). The number of AFC cards is 8 more than three times the number of NFC cards. Which system of equations can be used to find how many AFC cards, A, and NFC cards, N, Daryl has?

A.

A = 3N

A - 160 = N

B.

A + N = 160

A = 3N + 8

C.

A + N = 160

N = 3A - 8

D.

A - N = 160

N = 3A + 8

+2

Answers (1)

Know the Answer?

Ayanna Simmons · Answer 1

B

Step-by-step explanation:

Since A represents the number of AFC cars and N represents the number of NFC cards, and that Daryl has 160 total cards, then A+N = 160, the total number of cards. Furthermore, the number of AFC cards Daryl has is 8 more than 3 times the number of NFC cards, so A would be equal to 8 + 3N, or A = 3N + 8. The only system of equations with both of these correct equations is B.