Question

l To finance a bridge costing $94,500, the state contributed twice as much as the county and the county contributed twice as much as the city. How much did each contribute?

Answer 1

The city contributes $13,500, the county contributes $27,000, and the state contributes $54,000.

Let x = the amount the city contributes.
The county contributes twice this amount, or 2x.
The state contributes twice as much as the county, or 2(2x)=4x.

Together, they all contribute 94500:
x+2x+4x=94500

Combining like terms,
7x = 94500

Divide both sides by 7:
7x/7 = 94500/7
x=13500

The city contributes 13500.
The county contributes 2(13500) = 27000.
The state contributes 2(27000) = 54000.