Question

14. A cake was cut into 5p * q ^ 2 pieces that were equally distributed among (10p ^ 2)/q people at the birthday party. Find the number of pieces that each person got. Express in exponent form.​

Answer 1

Answer:

$\frac{ {q}^{3} }{2p} \: \:or \: \: {q}^{3} {(2p)}^{ - 1} \: is \: the \: answer$

Step-by-step explanation:

$A \: cake \: was \: cut \: into \: (5p \times q ^ 2) pieces$

and

$the \: pieces \: were \: equally \: distributed \: among \: ( \frac{10 {p}^{2} }{q} )people$

Therefore ,

number of pieces that each person got =

$\frac{total \: pieces}{total \: person}$

$\frac{5 \times p \times {q}^{2}}{ \frac{10 \times {p}^{2} }{q} }$

$\frac{5 \times p \times {q}^{2} \times q}{10 \times {p}^{2} }$

$\frac{5 \times p \times {q}^{3} }{10 \times p \times p}$

• 5 × 2 = 10
• p ÷ p = 1

$\frac{ {q}^{3} }{2p} \: \:or \: \: {q}^{3} {(2p)}^{ - 1}$