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? 8,000 ounces on the model is equal to ounces on the actual bridge. Convert ounces to pounds. The actual bridge can hold pounds. Therefore, the bridge hold 1 ton.

Answer 1

Yes the bridge will hold 1 ton

Explanation:

16 ounces = 1 pound.

2,000 pounds = 1 ton.

He builds a model of the bridge that is exactly 4 times smaller than the actual bridge

The scale used is:

Model : Actual

1:4

If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton?

The actual bridge can hold :

8000 ounces × 4 = 32,000 ounces

16 ounces = 1 pound.

32000 ounces = x

Cross Multiply

x = 32000/16

x = 2000 pounds

2,000 pounds = 1 ton

Hence, The original bridge = 2000 pounds can hold 1 ton.