Answer :
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.
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.
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
