Question

1 the ratio of miles to kilometers is 1:1.6. use this fact to complete the work below for finding out how many kilometers are equal to ? miles. 20 : 32 1 : 1.6 5 : — ×5 ×5

Explanation:

Step1: Identify the ratio

The ratio of miles to kilometers is \(1:1.6\), and we know \(20:32\) is a scaled - up version of \(1:1.6\) (since \(20\times1.6 = 32\)). Now we need to find the kilometers equivalent to 5 miles.

Step2: Set up the proportion

Let \(x\) be the number of kilometers in 5 miles. Using the ratio \(1:1.6 = 5:x\) (or we can use the scaling factor. Since to get from 1 mile to 5 miles we multiply by 5, we multiply the kilometers part of the ratio \(1:1.6\) by 5 as well).

Step3: Calculate the value of \(x\)

Using the scaling method: If \(1\) mile corresponds to \(1.6\) kilometers, then for \(5\) miles, we do \(5\times1.6=8\). Or using proportion \(\frac{1}{1.6}=\frac{5}{x}\), cross - multiply gives \(x = 5\times1.6=8\). Also, looking at the given \(20:32\), if we divide both by 4, we get \(5:8\), which matches our calculation.

Answer:

The number of kilometers equivalent to 5 miles is 8.