One store got 1.2 times as much apple cider as the second store. every hour the first store was selling 90 liters of cider, while the second one was selling 80 liters per hour. in 2.5 hours the second store had 65 liters less than the first store. how many liters of cider were delivered to each store?

The quantity of apple ciders bought at the first store is 540. The quantity of apple ciders bought at the second store is 450.

Two equations can be derived from this question:

y = 1.2x equation 1

65 =[ y - (90 x 2.5)] - [x - (80 x 2.5)]

65 = (y - 225) - (x - 200)

65 = y - 225 - x + 200

65 = y - 25 - x

90 = y - x equation 2

Where:

In order to determine the value of x, substitute for y in equation 1:

90 = 1.2x - x

90 = 0.2x

Divide both sides by 0.2

x = 90 / 0.2

x = 450

Substitute for x in equation 1

y = 1.2 x 450

y = 540

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