Question

If the statue of liberty were 325 feet taller it would you be just as tall as the gateway arch in St. Louis the height of the Statue of Liberty is 10 feet less than half of the height of the gateway arch how tall is each structure

Answer 1

Gateway: 630

Statue: 305

Explanation:

Gate way Arch = x

Statue of Liberty + 325 = x

1/2 (x)-10 = Statue of Liberty

Combine the two equations into one by substitution

1/2(x) - 10 + 325 = x Combine the left

1/2 (x) + 315 = x Subtract 1/2 x from both sides

315 = x - 1/2 x Combine the right side

315 = 1/2 x Multiply by 2

630 = 1/2 x times 2

x = 630

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Gateway arch = 630 feet

Statue + 325 = 630

Statue = 630 - 325

Statue = 305