Question

lavinea has a collection of sports cards. there are 12 cards in the collection, and $\frac{2}{3}$ of them are hockey cards. lavinea decides to double the amount of hockey cards in the collection.
how many hockey cards are in the collection now?
a. 4
b. 16
c. 8
what fraction of the cards are hockey cards?

Explanation:

Step1: Find original hockey cards

Calculate initial number of hockey cards:
$\text{Original hockey cards} = 12 \times \frac{2}{3} = 8$

Step2: Calculate new hockey card count

Double the original hockey cards:
$\text{New hockey cards} = 8 \times 2 = 16$

Step3: Find total new card count

Add new hockey cards to original total:
$\text{Total new cards} = 12 + 8 = 20$

Step4: Compute the fraction

Divide new hockey cards by total new cards:
$\text{Fraction} = \frac{16}{20} = \frac{4}{5}$

Answer:

1. B. 16
2. $\frac{4}{5}$