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damien has a collection of sports cards. there are 20 cards in the coll…

Question

damien has a collection of sports cards. there are 20 cards in the collection, and $\frac{3}{5}$ of them are hockey cards. damien decides to double the amount of hockey cards in the collection.
how many hockey cards are in the collection now?
a. 8
b. 24
c. 12
what fraction of the cards are hockey cards?

Explanation:

Step1: Find original hockey cards

$\text{Original hockey cards} = 20 \times \frac{3}{5} = 12$

Step2: Calculate new hockey cards

$\text{New hockey cards} = 12 \times 2 = 24$

Step3: Find total new card count

$\text{Total new cards} = 20 + 12 = 32$

Step4: Compute the fraction

$\text{Fraction} = \frac{24}{32} = \frac{3}{4}$

Answer:

  1. B. 24
  2. $\frac{3}{4}$