Question

May I please help with this. I have tried to find the correct answers but still couldn’t get them right

Answer 1

`1cm\text{ to 7in}`

We can use ratio to solve the problem

Part A

5cm to x in

`\begin{gathered} 1cm\colon7in \\ 5cm\colon x\text{ in} \end{gathered}`

Now

`\begin{gathered} 1\colon7 \\ 5\colon x \\ \therefore(1)/(7)=(5)/(x) \\ \\ \text{cross multiply} \\ 1* x=5*7 \\ x=35 \end{gathered}`

The final answer

`5cm\text{ to 35inches}`

Part B

Similar step as part a

`\begin{gathered} 1\colon7 \\ y\colon63 \\ (1)/(7)=(y)/(63) \\ \\ \text{cross multiply} \\ 7y=63 \\ \text{divide both sides by 7} \\ (7y)/(7)=(63)/(7) \\ y=9 \end{gathered}`

The final answer

`9cm\text{ to 63inches}`

Summary