Question

An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. LaTeX: \frac{3}{4}3 4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)

Answer 1

3 29/40 kg

Explanation:

An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. LaTeX: \frac{3}{4}3 4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)

Step 1

We find the fraction of the sculpture that is wood

Let the Fraction of the sculpture = 1

Fraction of the sculpture that is metal = 3/4

Fraction of the sculpture that is wood =

1 - 3/4

= 1/4

Step 2

How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)

This is calculated as:

Weight of the total sculpture × Fraction of the sculpture that is wood

= 14.9 kg × 1/4

= 3 29/40 kg