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Hong Kong's tallest building international is 88 stories tall. the former Sears Tower is eight stories taller than the Empire State Building. If all the buildings were stacked on top of each other the combine Heights would have 300 stories. How many stories does the Sears Tower have?

Answer :

Answer:

the Sears Tower has 110 stories tall.

Step-by-step explanation:

To solve a system of equations, which includes the total of stories tall and also the tall stories of each one.

They tell us that Hong Kong's tallest building international is 88 stories tall and that the Sears Tower is eight stories workshop than the Empire State Building. So let X be the Empire State Building stories tall and Y Sears Tower stories tall, it would be:

88 + X + Y = 300 (1)

But we know that:

Y = X + 8, therefore if I replace in (1)

We have left:

88 + X + X + 8 = 300

rearranging

2 * X = 300 - 88 - 8

X = 204/2 = 102

Now And it would be equal to:

Y = X + 8 = 102 + 8

Y = 110

Therefore the Sears Tower has 110 stories tall.

Buying:

88 + X + Y = 300

88 + 102 + 110 = 300, therefore the answer is valid.

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