The quantities $a$ and $b$ are in the ratio $5:6$.The quantities $b$ and $c$ are in the ra

Question

The quantities $a$ and $b$ are in the ratio $5:6$.The quantities $b$ and $c$ are in the ratio $9:4$.Write the ratio $a:b:c$ in its simplest form. [1] $p$ is inversely proportional to the square root of $q$. When $q=36$, $p=\dfrac{1}{2}$.Find the exact value of $p$ when $q=169$. [2] $y$ is directly proportional to $x^2$. For a certain $x$ value, $y$ is $25$.Find the value of $y$ when $x$ is doubled. [2]

Accepted Answer

(a) $a:b:c=15:18:8$ (b)$p=\frac{3}{13}$ (c) $100$

Direct and Inverse Proportion - Inverse Proportion

Direct and Inverse Proportion - Inverse Proportion

Solution:

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