SOLUTION: On the blueprint of a house, 48 millimeters represents 9 meters. The actual length of the living room is 6 meters. What is its length on the blueprint?

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Question 1117927: On the blueprint of a house,
48 millimeters represents
9 meters. The actual length of the living room is
6 meters. What is its length on the blueprint?
Found 2 solutions by Theo, josgarithmetic:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
let x represent the blueprint representation of the actual living room size.

you know that 48 millimeters represents 9 meters.

if you take 48 millimeters and divide it by 9 meters, you get 5 and 1/3 millimeters on the blueprint for every meter in real life.

since the actual length of the living room is 6 meters, then multiply that by (5 and 1/3) to get (5 + 1/3) * 6 = 5 * 6 + 1/3 * 6.

this results in 30 + 2 = 32 millimeters.

32 millimeters on the blueprint represents an actual length of 6 meters.

the ratio of blueprint to actual should be preserved.

48/9 = 32/6

cross multiply to get 48 * 6 = 9 * 32.

simplify to get 288 = 288, confirming the ratios are equivalent.

Answer by josgarithmetic(39621) (Show Source):
You can put this solution on YOUR website!

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, mm on the blueprint