Question

Item 28

MODELING REAL LIFE The main span of the Sunshine Skyway Bridge is 366 meters long. The bridge's main span is 30 meters shorter than the main span of the Dames Point Bridge. Write and solve an equation to find the length (in meters) of the main span of the Dames Point Bridge. Let x represent the length of the main span.


The Dames Point Bridge with the distance between two piers labeled as the main span.


An equation that represents this situation is ...?

.

Answer 1

Required equation:
`366=x-30`

Length of the main span of the Dames point Bridge = 396 meters

Explanation:

Main span of the Sunshine Skyway Bridge = 366 meters .... (1)

Let
`x` represent the length of the main span of the Dames point Bridge.

It is given that the bridge's main span is 30 meters shorter than the main span of the Dames Point Bridge.

Main span of the Sunshine Skyway Bridge =
`x-30` meters .... (2)

From (1) and (2) we get

`366=x-30`

Add 30 on both sides.

`366+30=x-30+30`

`396=x`

Hence, the required equation is
`366=x-30` and the length of the main span of the Dames point Bridge is 396 meters.