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Question 16 -
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How many scoops will it take a 2-ton crane, which can scoop 2 tons of material at one time, to move 23,000 pounds of dirt? Round to the ten
thousandths place, if necessary.

Respuesta :

Using proportions and conversion of units, it is found that 6 scoops are needed.

Each pound has 0.0005 tons, the measure of 23,000 pounds in tons is:

[tex]T = 23000(0.0005) = 11.5[/tex]

Now, 11.5 tons are going to be moved. In each scoop, 2 tons are moved. How many scoops are needed to move 11.5 tons?

The proportional relationship is:

1 scoop - 2 tons

x scoops - 11.5 tons

Applying cross multiplication:

[tex]2x = 11.5[/tex]

[tex]x = \frac{11.5}{2}[/tex]

[tex]x = 5.75[/tex]

Rounding up:

6 scoops are needed.

A similar problem is given at https://brainly.com/question/25305081

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