Question

EASY MATH CHALLENGE NEED EXPLANATION 20 POINTS The board game Kings crown has, red, green, and gold gems for the players to earn as they play. The game has 1/3 as many green games as red gems. It has 1/6 as many red gems as gold gems. What fraction of the game's gems are gold?

Answer 1

Answer:

9/11

Step-by-step explanation:

Let r = number of red gems

Let n = number of green gems

Let p = number of gold gems

n= (1/3)r   - - >   multiply both sides by 3  - - >   r = 3n

r = (1/6)p  - - >   multiply both sides by 6  - - >  p = 6r

So the number of reds (r) is 3x the number of greens (n)

And the number of golds (p) is 6x the number of reds.

So for every 1 green, we have 3 reds and for every red we have 6 golds.

So for every 1 green, we have 3 reds and 18 golds.

So we add 1 + 3 + 18 = 22 gems.

Out of the 22 gems, 18 are gold.

18/22 = 9/11 are gold