Question

If a:b = 3:1 and b:c = 5:1 then find the value of (a³/15b²c)³

Answer 1

Hey ur answer is 625/793

Answer 2

Answer:

729.

Step-by-step explanation:

Given:

• a:b = 3:1
• b:c=5:1

We have asked to find the value of $\rm \left ( \dfrac{a^3}{15b^2c} \right ) ^3$

We have,

$\rm \dfrac bc = \dfrac 51 \Rightarrow b=5c\ \ \ \ \ .......\ (1).$

Also,

$\rm \dfrac ab \times \dfrac bc = \dfrac 31 \times \dfrac 51 \\\dfrac ac = \dfrac{15}1\\a=15c\ \ \ \ \ .......\ (2).$

Putting the values of (1) and (2) in $\rm \left ( \dfrac{a^3}{15b^2c} \right ) ^3$, we get,

$\rm \left ( \dfrac{a^3}{15b^2c} \right ) ^3=\left ( \dfrac{(15c)^3}{15\cdot (5c)^2\cdot c} \right ) ^3 \\=\left ( \dfrac{3375c^3}{15\times 25c^2\times c} \right ) ^3\\= \left ( \dfrac{3375c^3}{375c^3} \right ) ^3\\= 9^3\\=729.$