Question

A balance is perfectly balanced as shown in the adjoining figure-7. If the L.H.S. of the balance represents 3x +5, where x is the number of sugar cubes in each packet and assuming that the weight of each sugar cube is the same then,
i) write an expression for the R.H.S of the balance.
ii) also find the value of x.

Answer 1

Correct question!!

A balance is perfectly balanced as shown in the adjoining figure-7. If the L.H.S. of the balance represents 3x + 6, where x is the number of sugar cubes in each packet and assuming that the weight of each sugar cube is the same then,

i) write an expression for the R.H.S of the balance.

ii) also find the value of x.

Solution!!

The LHS should be 3x + 6. 3x, as there are 3 packets of x number of sugar cubes. 6, as there are 6 sugar cubes visible.

(i) Similarly, there are 4 packets of x number of sugar cubes and 1 sugar cube is visible too. So, the expression for the RHS of the balance is 4x + 1.

It is given that the balance is perfectly balanced which means that LHS of the balance = RHS of the balance.

(ii) 3x + 6 = 4x + 1

6 - 1 = 4x - 3x

5 = x

This means that there are 5 sugar cubes in 1 packet. Let's verify!!

Taking LHS

→ 3x + 6

→ 3(5) + 6

→ 15 + 6

→ 21

Taking RHS

→ 4x + 1

→ 4(5) + 1

→ 20 + 1

→ 21

LHS = RHS

There are 21 sugar cubes on each side of the balance.

Hence, verified.