Question

Given that (3.14*18)*17.5=3.14*(3p*17.5).Find the value of p

Answer 1

The value of p = 6.

Explanation:

Given the expression

`\left(3.14\cdot \:18\right)\cdot \:17.5=3.14\left(3p\cdot \:17.5\right)`

Solving for p

`\left(3.14\cdot \:18\right)\cdot \:17.5=3.14\left(3p\cdot \:17.5\right)`

switch sides

`3.14\left(3p\cdot \:17.5\right)=\left(3.14\cdot \:18\right)\cdot \:17.5`

Remove parentheses: (a) = a

`3.14\left(3p\cdot \:17.5\right)=3.14\cdot \:18\cdot \:17.5`

Multiply the numbers:
`3.14\cdot \:18\cdot \:17.5=989.1`

`3.14\left(3p\cdot \:17.5\right)=989.1`

Multiply both sides by 100

`3.14\cdot \:3p\cdot \:17.5\cdot \:100=989.1\cdot \:100`

Refine

`16485p=98910`

Divide both sides by 16485

`(16485p)/(16485)=(98910)/(16485)`

Simplify

`p=6`

Therefore, the value of p = 6.