SOLUTION: Write an algebraic equation for the following problem and then solve it. Princess Margaret hospital received a shipment of 13​-milligram doses of a medicine. Each 13​-milli

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Question 1179219: Write an algebraic equation for the following problem and then solve it.
Princess Margaret hospital received a shipment of 13​-milligram doses of a medicine. Each 13​-milligram package was repacked into two smaller doses of unequal size and labeled packet A and packet B. The hospital then used 19 doses of packet A and 17 doses of packet B in one week. The hospital used a total of 243 milligrams of the medicine during that week.
How many milligrams of the medicine are contained in each A​ packet? In each B​ packet?

Answer by MathLover1(20849) About Me  (Show Source):
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Princess Margaret hospital received a shipment of 13​-milligram doses of a medicine.
Each 13​-milligram package was repacked into two smaller doses of unequal size and labeled packet A and packet+B.
A+%2BB=13
A+=13-B............eq.1
The hospital then used 19 doses of packet A and 17 doses of packet B in one week. The hospital used a total of 243 milligrams of the medicine during that week.
19A+%2B17B=243.............eq.2,..substitute A from eq.1
19%2813-B%29+%2B17B=243
247-19B+%2B17B=243
247-2B=243
247-243=2B
2B=4
B=2
A+=13-2............eq.1
A+=11
in each A packet is 11 milligrams of the medicine
in each B​ packet is 2 milligrams of the medicine