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A metal bar ten feet long weighs 128 pounds. What is the weight of a similar bar that is two feet four inches long?

Round to the nearest whole pound. Use cross multiplication to solve the ratio.

Answer :

Answer:

Seems like 29 pounds (29.44 not rounded)

Step-by-step explanation:

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Final answer:

To find the weight of the similar bar, we can set up a proportion using the ratio of the lengths of the bars and solve for the weight using cross multiplication. The weight of the similar bar is approximately 30 pounds when rounded to the nearest whole pound.

Explanation:

To find the weight of a similar bar, we can set up a proportion using the ratio of the lengths of the bars. Let x represent the weight of the similar bar. The proportion can be set up as:

10 feet / 128 pounds = 2.33 feet / x pounds

  • To solve for x, we can use cross multiplication. We multiply the numerator of one side by the denominator of the other side, and set the products equal to each other:

10 * x = 128 * 2.33

  • Now, divide both sides of the equation by 10 to solve for x:

x = (128 * 2.33) / 10

Using a calculator, we find that x is approximately 29.89. Rounding to the nearest whole pound, the weight of the similar bar is 30 pounds.

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