Question

Solve the attached problem.
Explanation is necessary !!
Content Quality Answer Needed !!
Brainly Stars™​

Answer 1

Solution:-

Case l —

There are three headphones.

→ 1 headp. + 1 headp. + 1 headp. = 30

→ 3 headphones = 30

→ 1 headphone = 30/3

→ 1 headphone = 10 ------- Equation (1)

Case 2 —

There are 1 headphone, 2 speakers.

→ 1 headp. + 1 speaker + 1 speaker = 18

→ 10 + 2 speakers = 18

→ 2 speakers = 18 - 10

→ 2 speakers = 8

→ 1 speaker = 8/2

→ 1 speaker = 4 ------- Equation (2)

Case 3 —

There are 1 speaker & 1 locket.

→ 1 speaker - 1 locket = 2

→ 4 - 1 locket = 2

→ 4 - 2 = 1 locket

→ 1 locket = 2 ------- Equation (3)

Case 4 — (Last one!)

There are 1 speaker, 1 locket & 1 headphone.

Putting values from (Eq.1) , (Eq.2) & (Eq.3)

→ 1 speaker + 1 locket + 1 headp. = ??

→ 4 + 2 + 10 = ??

→ 16 = ??

→ 16

Therefore,

Your required answer is 16 .

Answer 2

☯ AnSwEr :

★ Case 1 :

Let the headphones in case 1 be x.

So,

x + x + x = 30

→ 3x = 30

→x = 30/3

→x = 10 ......(1)

$\therefore$ 1 headphone is equal to the 10.

$\rule{200}{2}$

★ Case 2 :

Let the speakers be y.

So,

→x + y + y = 18

→ 10 + 2y = 18

→ 2y = 18 - 10

→2y = 8

→y = 8/2

→ y = 4 ......(2)

$\therefore$ 1 speaker is equal to the 4.

$\rule{200}{2}$

★ Case 3 :

Let the locket be z.

So,

→ y - z = 2

→ 4 - z = 2

→-z = 2 - 4

→z = 2 .......(3)

$\therefore$ 1 locket is equal to the 2.

$\rule{200}{2}$

★ Case 4 :

↪From equation (1), (2) and (3).

→x + y + z = ??

→2 + 4 + 10 = ??

→ ?? = 16

$\Large{\implies{\boxed{\boxed{\sf{?? = 16}}}}}$

$\therefore$ 16 is the required answer.