Question

Form an equation to help you solve this problem.

Four identical lumps of gold on one side of some scales balance with one identical lump and a 22kg mass.

Find the mass of one lump of gold.

Answer 1

Answer:

equation= 4x=x+22kg

Answer 2

Given:

Four identical lumps of gold on one side of some scales balance with one identical lump and a 22kg mass.

To find:

An equation that could give us the value of mass of one lump of coal.

Calculation:

On a weighing balance (or common balance), when both the pans are on the same level , we can say that masses of the constituents on both sides are same.

Let mass of each lump be "x" kg.

• So, on the left side , there are 4 lumps, hence the total mass will be 4x.

• On the right side, there is a 22 kg mass along with one lump, so net mass will be 22+x.

• These net masses must be equal.

So, required equation:

$\boxed{ \bold{ \large{\therefore \: 4x = 22 + x}}}$

Now , solving it:

$\sf \implies \: 4x - x = 22$

$\sf \implies \: 3x = 22$

$\sf \implies \: x = \dfrac{22}{3}$

$\sf \implies \: x = 7.33 \: kg$

So, mass of each lump is 7.33 kg.

Hope It Helps.