Question Video: Finding Unknown Numbers given the Ratio between Those Numbers and a Known One Mathematics

Video Transcript

The ratio between the heights of three buildings A, B, and C is 10 : four : three. If the height of building A is 60 meters, find the heights of building B and building C.

We’re told in the question that the ratio of the heights is 10 : four : three. We’re also told that the height of building A is 60 meters. We can find equivalent ratios by multiplying each of our values by the same number. 10 multiplied by six is equal to 60. This means that, in order to find an equivalent ratio, we must also multiply four and three by six. Four multiplied by six is 24, and three multiplied by six is 18. This means that the ratio 10 : four : three is equivalent to the ratio 60 : 24 : 18. We can therefore conclude that the height of building B is 24 meters and the height of building C is 18 meters.