Last week, a bottling company produced a total carton of 12000 bottled drinking water in three different litres classified as 0.5L, 1.0L, and 1.5L. The company earned a 10% return on 0.5L bottled water, an 8% return on 1.0L bottled water, and a 12% return on 1.5L bottled water. The total return earned last week amounted to ¢1230. The total cartons of bottled drinking water produced in 0.5L and 1.0L equalled the cartons of 1.5L produced last week. Formulate the simultaneous linear system of equations that when solved will give the number of cartons of each litre of bottled drinking water produced last week. Hence, solve the resulting system of equations obtained to find how many cartons of each litre of bottled drinking water were produced last week.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Last week, a bottling company produced a total carton of 12000 bottled drinking water in three different litres classified as 0.5L, 1.0L, and 1.5L. The company earned a 10% return on 0.5L bottled water, an 8% return on 1.0L bottled water, and a 12% return on 1.5L bottled water. The total return earned last week amounted to ¢1230. The total cartons of bottled drinking water produced in 0.5L and 1.0L equalled the cartons of 1.5L produced last week. Formulate the simultaneous linear system of equations that when solved will give the number of cartons of each litre of bottled drinking water produced last week. Hence, solve the resulting system of equations obtained to find how many cartons of each litre of bottled drinking water were produced last week.
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