Question

Austin collected 30 9/10 kilograms of glass for recycling. Exactly 2/3 of the glass he collected was blue. What was the total amount, in kilograms, of blue glass Austin collected?

Answer 1

2/3 of 30 9/10 = (30*10 + 9)/10 = 309/10 kilograms of glass is blue or there are:

(2/3)(309/10) = (2*309)/(3*10) = (2*103)/10 = 206/10 = 10.6 kg of blue glass.