if a:b = 3:1 , and b:c = 5:1 then find the value of a²/15b²c
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Answer:
a : b = 3 : 1
b : c = 5 : 1
---------------------------
a : b : c = 15 : 5 : 1
(1)
\begin{gathered} \frac{ {a}^{3} }{15 {b}^{2}c } \\ = \frac{15 \times 15 \times 15}{15 \times 5 \times 5 \times 1} \\ = 9\end{gathered}
15b
2
c
a
3
=
15×5×5×1
15×15×15
=9
(2)
\begin{gathered} \frac{ {a}^{2} }{7bc} \\ = \frac{15 \times 15}{7 \times 5 \times 1} \\ = \frac{45}{7} \\ = 6.43\end{gathered}
7bc
a
2
=
7×5×1
15×15
=
7
45
=6.43
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