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3. Wanda needs to move 110 kg of rocks. She can carry 10 hg each trip. How many trips must she make?
Explain your answer. (2 pts)

Respuesta :

Answer: 110 trips

Explanation:

If Wanda needs to move [tex]110 kg[/tex] of rocks and is able to carry 10 hectograms ([tex]10 hg[/tex]) in [tex]1 trip[/tex], we can apply the Rule of three, which is a mathematical rule to find out an amount that is with another quantity given in the same relation as other two also known.

But first, we need to work with the same units. So, we will convert the [tex]10 hg[/tex] to kilograms, knowing [tex]1 hg=0.1 kg[/tex]:

[tex]10 hg \frac{0.1 kg}{1 hg}=1kg[/tex]

Hence: [tex]10 hg=1kg[/tex]

Now, we can apply the  Rule of three:

If [tex]1 kg[/tex] can by carried in [tex]1 trip[/tex], then:

[tex]1 kg[/tex] ---- [tex]1 trip[/tex]

[tex]110 kg[/tex] ---- ?

[tex]?=110 kg \frac{1 trip}{1kg}=11 0trips[/tex]

Therefore, it will take to Wanda 110 trips with 10 hg=1kg of rocks if she wants to move 110 kg of rocks.

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