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A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.5 milligrams, which is twice the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply. How many milligrams can the hospital get from these three companies?

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The number of milligrams the hospital can get is 3.45 milligrams.

Supply available :

Company A = 1.5 milligram

Let :

Company B's supply = b

Company B's supply = b Company C's supply = c

1.5 = 2(b - c) - - - (1)

1.5 = 0.9 + c - - - (2)

From (2)

1.5 - 0.9 = c

0.6 = c

Put c = 0.6 in (1) to find b

1.5 = 2(b - 0.6)

1.5 = 2b - 1.2

1.5 + 1.2 = 2b

2.7 = 2b

b = 2.7 / 2

b = 1.35 milligrams

The total supply the hospital can get is :

(1.35 + 0.6 + 1.5) milligrams = 3.45 milligrams

The number of milligrams the hospital can get is 3.45 milligrams.

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