Question

. A metal disc consists of three parts silver and two parts copper (by mass). If the disc has a mass of 1350g, how much silver does it contain?

Answer 1

Answer:

810grams........of......silver.

Answer 2

The mass of silver in the metal disc = 810 gm

Given :

• A metal disc consists of three parts silver and two parts copper (by mass).

• The disc has a mass of 1350 gm

To find :

The mass of silver in the metal disc

Solution :

Step 1 of 3 :

Write down ratio of mass of silver and copper

The metal disc consists of three parts silver and two parts copper (by mass).

∴ The ratio of mass of silver and copper

= 3 : 2

Step 2 of 3 :

Form the equation to calculate mass of silver in the metal disc

The ratio of mass of silver and copper = 3 : 2

Let mass of silver and copper in the metal disc is 3x gm and 2x gm respectively

By the given condition

$\displaystyle \sf 3x + 2x = 1350$

Step 3 of 3 :

Calculate mass of silver in the metal disc

$\displaystyle \sf 3x + 2x = 1350$

$\displaystyle \sf{ \implies }5x = 1350$

$\displaystyle \sf{ \implies }x = \frac{1350}{5}$

$\displaystyle \sf{ \implies }x = 270$

Mass of silver = 3x = (3 × 270) gm = 810 gm

Mass of copper = 2x = (2 × 270) gm = 540 gm

Hence mass of silver in the metal disc = 810 gm

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Divide Rs 200 in the ratio 2:3

https://brainly.in/question/31946464

2. 12 Rs 80 paise : 14 Rs.40 Paise. Write the shortest form of a given ratio.

https://brainly.in/question/33396605

#SPJ3