Question

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

Answer 1

Answer:

The value of p = 6.

Step-by-step 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

$\frac{16485p}{16485}=\frac{98910}{16485}$

Simplify

$p=6$

Therefore, the value of p = 6.