Question

Kuri spent a total of $68 on trading cards. His collection contains two types of cards. A pack of trading card A $4 and a pack of trading card b cost $7. HOW many packs of each trading card were purchased if the total number of packs is 11?​

Answer 1

8 of Card B and 3 of card A. Hope this helps

Answer 2

Kuri purchased 3 packs of trading card A, and 8 packs of trading card B.

Explanation:

1. First name the variables:

a = number of packs of trading card A

b = number of pack of trading card B

2. As a pack of trading card A costs $4, a pack of trading card b costs $7 and As Kuri spent a total of %68 on trading cards, the first equation is:

`4a+7b=68 (Eq.1)`

3. As Kuri purchased a total number of 11 packs, the second equation is:

`a+b=11 (Eq.2)`

4. Solve Eq.2 for a:

`a+b=11\\\\a=11-b (Eq.3)`

5. Replace Eq.3 in Eq.1 and solve por b:

`4(11-b)+7b=68\\\\44-4b+7b=68\\\\-4b+7b=68-44\\\\3b=24\\\\b=(24)/(3)\\\\b=8`

6. Replace the value of b in Eq.3:

`a=11-8\\\\a=3`

Therefore Kuri purchased 3 packs of trading card A, and 8 packs of trading card B.