Question

Andre makes another sculpture that uses 2 2/5 times as much bronze as the small sculpture which is 105/12 bronze. How many kilograms of bronze does this sculpture need? Show your work.

Answer 1

Answer:

21kg

Step-by-step explanation:

Since she used 2 2/5 times as much bronze as the small sculpture, we have to multiply 2 2/5 by 105/12.

105/12 is equivalent to 8.75 or also 8 3/4.

2 2/5 as an improper fraction is 12/5.

8 3/4 as an improper fraction is 35/4.

35/4 x 12/5 = 21 kg of bronze.

She needs 21 kg of bronze for the sculpture.

Answer 2

Answer:

21 kg

Step-by-step explanation:

Given:

→  Andre makes another larger sculpture that uses $\sf 2\frac{2}{5}$ times more than that of the smaller sculpture which weighs $\sf \frac{105}{12} \implies 8.75$

To find:

→ How many kilograms of bronze does the larger sculpture need?

How to find:

→ We can find this by multiplying the amount of bronze used to make the larger sculpture multiplied by the smaller sculpture.

Solution:

Firstly, Convert any mixed fraction to an improper fraction.

• 2 2/5 to improper fraction: $2 \frac{2}{5} \implies \frac{12}{5}$

What is an Improper Fraction?

An improper fraction is a fraction whose numerator is greater than the denominator. For example, 12 was greater than 5 when we converted 2 2/5 to an improper fraction.

Bronze for Larger Sculpture = Larger Sculpture * Amount of bronze used to make the larger sculpture  

$\text{Bronze for Larger Sculpture} = \frac{105}{12} \times \frac{12}{5}$

 

  Cancel out common factors:

  $\text{Bronze for Larger Sculpture} = \frac{105}{\cancel{12}} \times \frac{\cancel{12}}{5}$

  $\text{Bronze for Larger Sculpture} = \frac{105}{1} \times \frac{1}{5}$

  $\text{Bronze for Larger Sculpture} = \frac{105}{5}$

  $\text{Bronze for Larger Sculpture} = 21$ units of bronze.

This means the larger sculpture requires 21 kg units of bronze.

Learn more about multiplying fractions here: https://brainly.com/question/7335118