Question 1

The ratio of miles to kilometers is 1:1.6. Use this fact to complete the workings below for finding out how many kilometersare equal to 10 miles.

The ratio of miles to kilometers is 1:1.6. Use this fact to complete the workings-example-1

Question 2

Answer:

16 kilometers

Step-by-step explanation:

Given:

The ratio of miles to kilometers is 1: 1.6

To find:

how many kilometers is equal to 10 miles

$\begin{gathered} 1\text{ miles = 1.6 kilometers} \\ let\text{ 10 miles = x km} \\ cross\text{ multiply:} \\ x(1)\text{ = 10\lparen1.6\rparen} \\ x\text{ = 10\lparen1.6\rparen} \end{gathered}$
$\begin{gathered} x\text{ = 16} \\ \\ Hence,\text{ 10 miles is equal to 16 kilometers} \\ \\ We\text{ can also view it this way:} \\ since\text{ we are multiplying the value of the ratio in miles by 10, we will be multiplying the value of ratio in km by 10 also} \\ ratio=\text{ 1: 1.6} \\ 1(10)\text{ = 10} \\ 1.6(10)\text{ = 16} \end{gathered}$

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