Question

ike has a collection of video games. there are 10 games in the collection, and $\frac{3}{5}$ of them are console games. ike decides to double the amount of console games in the collection.
how many console games are in the collection now?
a. 8
b. 10
c. 12
what fraction of the games are console games?

Explanation:

Step1: Find original console games

Original total games = 10, fraction of console games = $\frac{3}{5}$.
Number of original console games: $10 \times \frac{3}{5} = 6$

Step2: Calculate new console games

Double the original console games: $6 \times 2 = 12$

Step3: Calculate new total games

Original non-console games: $10 - 6 = 4$. New total games: $12 + 4 = 16$

Step4: Find the new fraction

Fraction = $\frac{\text{New console games}}{\text{New total games}}$
$\frac{12}{16} = \frac{3}{4}$

Answer:

1. C. 12
2. $\frac{3}{4}$