Jack and John have heights in the ratio 5:6. If John's height is 186cm, what is Jack's height?
Jack:John = 5:6
Jack John
5 6
x 186cm
x = 186*5/6
= 155cm
Jack's height is 155cm.
To find Jack's height, we need to use the given ratio between their heights.
The ratio of heights between Jack and John is 5:6. This means that for every 5 units of Jack's height, John's height is 6 units.
If John's height is 186cm, we can set up a proportion to find Jack's height:
Jack's height / John's height = 5 / 6
Let's represent Jack's height as x:
x / 186cm = 5 / 6
To solve for x, we can cross-multiply:
6x = 186cm * 5
6x = 930cm
Dividing both sides by 6:
x = 930cm / 6
x ≈ 155cm
Therefore, Jack's height is approximately 155cm.
To find Jack's height, we can use the ratio given between Jack and John's heights.
Let's set up the ratio equation:
Jack's height / John's height = 5/6
Since John's height is 186 cm, we can substitute it into the equation:
Jack's height / 186 = 5/6
Now, we can solve for Jack's height. We'll start by cross-multiplying:
6 * Jack's height = 5 * 186
Simplifying:
6 * Jack's height = 930
Finally, we can isolate Jack's height by dividing both sides of the equation by 6:
Jack's height = 930 / 6
Evaluating the expression, we find:
Jack's height = 155 cm
Therefore, Jack's height is 155 cm.