Answered

Am artist build a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal, and the rat is wood. How much does the wood part of the sculpture weigh?



Answer :

bananakickihkim
we know that 3/4 of the full weight is from metal. That means that the metal weighs 14.9 * (3/4) or 14.9 * (0.75) = 11.175kg. The wood is just this value subtracted from 14.9 thus our final answer is: 14.900 - 11.175 = 3.725.

Note: Even though the question never says to round, the actual answer might be:
14.9 - 11.2 = 3.7kg since 11.175kg is approximately 11.2kg. Also, 3.725 is approximately 3.7kg.
BladeRunner212

¹/₄ part or 3.725 kilograms

Further explanation

Given:

An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms,

  • ³/₄ of this weight is metal, and
  • the rest is wood.

Question:

How much does the wood part of the sculpture weighs?

The Process:

From the information above, we make a diagram that matches the composition of the sculpture material.

[tex]\boxed{metal}\boxed{metal}\boxed{metal}\boxed{wood} = 14.9 \ kilograms[/tex]

  • ³/₄ of this weight is metal, and
  • the rest is wood, which is [tex]\boxed{ \ 1 - \frac{3}{4} = \frac{1}{4} \ }[/tex].

And now, let us calculate the wood part of the sculpture weighs.

[tex]\boxed{ \ = \frac{1}{4} \times 14.9 \ kilograms \ }[/tex]

Both 4 and 14.9 are multiplied by 10.

[tex]\boxed{ \ = \frac{1}{40} \times 149 \ kilograms \ }[/tex]

[tex]\boxed{ \ = \frac{149}{40}  \ kilograms \ }[/tex]

Both the numerator and denominator are divided by 4.

[tex]\boxed{ \ = \frac{37.25}{10}  \ kilograms \ }[/tex]

[tex]\boxed{ \ = \frac{3,725}{1,000}  \ kilograms \ }[/tex]

[tex]\boxed{\boxed{ \ 3.725 \ kilograms \ }}[/tex]

Thus, the wood part of the sculpture weighs is 3.725 kilograms or ¹/₄ part.

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Keywords: an artist, builds a sculpture, out of metal and wood, that weighs 14.9 kilograms, 3/4, metal, the rest is wood, how much, the wood part, of the sculpture weighs

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