A machine that burns trash uses a mixture of oil, gas, and diesel that is injected periodicly during the day. Gas is injected into the machine every 6 hours and diesel is injected four times a day, and the ratio of gas
to diesel is always 5 to 8. In order to maintain a stable mixture for burning, oil is always injected at the
same rate and amounts as the gas.
Given the total mixture of oil, gas, and deisel that the machine uses is 47.1 liters per day. Find the amount
of oil, gas, and diesel injected at each time during the day.