Karen Morrison and Nick Hamshaw Solutions for Exercise 2: Exercise 21.2

Find the unknown value in the following equivalent ratio.

$4:5=x:7$

Find the unknown value in the following equivalent ratio.

$5:4=9:y$

Say whether the following statement is true or false. If a statement is false, explain why it is false.

The ratio $1:6$ is the same as the ratio $6:1$

Say whether the following statement is true or false. If a statement is false, explain why it is false.

The ratio $1:6$ is equivalent to $3:18$.

Say whether the following statement is true or false. If a statement is false, explain why it is false.

The ratio $20:15$ can be expressed as $3:4$.

Say whether the following statement is true or false. If a statement is false, explain why it is false.

If the ratio of a mother's age to her daughter's age is $8:1$ ,  the daughter will be nine when her mother is $48$ years old.

Say whether the following statements is true or false. If statement is false, explain why it is false.

If Mr. Smith's wage is $\frac{5}{8}$of Mr. Jones's wages, then the ratio of their wage is $20:32$ 

A brand of pet food contains meat and cereal in the ratio $2:9$. During one shift, the factory making the pet food used $3500 \mathrm{kg}$ of meat. What mass of cereal did they use? (Answer in $\mathrm{kg}$)