Question

On Planet Galactica, common units of distance are alpha, beta, and gamma. 4 gammas equal 5 betas. 2 betas equal 3 alphas. How many alphas equal 1 gamma?

Answer 1

15/8 alphas = 1 gamma

Explanation:

4 gammas = 5 beta

beta = 4/5 • gamma

2 betas = 3 alphas

beta = 3/2 • alpha

beta = beta

4/5 • gamma = 3/2 • alpha

multiply each side by 5/4

5/4 • 4/5 • gamma = 5/4 • 3/2 • alpha

gamma = 15/8 • alpha