Question

An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton?

fill in thw blanks please extra points:)​

Answer 1

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces = x pounds

==> = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

Answer 2

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces = x pounds

==> = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton