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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?

Respuesta :

sqdancefan
Let x represent the amount of cider delivered to the second store.

(1.2x -90*2.5) - (x -80*2.5) = 65 . . . . . problem statement as equation
0.2x -25 = 65
.. x = 90/0.2 = 450

1.2*450 = 540 liters were delivered to the first store;
450 liters were delivered to the second store.

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The first store sold 225 liters in 2.5 hours; the second store sold 200 liters in 2.5 hours. The first store started with 90 liters more, sold 25 liters more, and ended with 65 liters more than the second 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:

  • y = apple cider sold at the first store
  • x =  apple cider sold at the second store

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

To learn more about simultaneous equations, please check: https://brainly.com/question/25802822

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