Phillip collects two kinds of baseball cards, Topps and Fleer. A Topps card is worth $5.50 each while a Fleer card is worth $3.90. If he has 46 cards altogether and they are worth $209.80, how much is a Topps card worth?

Total cost of topps card = $104.5

Step-by-step explanation:

Given:

Cost of each topps card = $5.50

Cost of each fleer card = $3.90

Total number of cards = 46

Total cost = $209.80

Find:

Total cost of topps card

Computation:

Assume;

Number of topps card = T

Number of fleer card = F

So,

T + F = 46eq1

and

Total cost of topps card = 5.50T

Total cost of fleer card = 3.90F

So,

5.50T + 3.90F = 209.80eq2

eq1 x 3.90

3.90T + 3.90F = 179.4eq3

eq2 - eq3

1.6T = 30.4

T = 19

Number of topps card = 19

Total cost of topps card = 5.50(19)

Total cost of topps card = $104.5