# Problem Solving With Proportions

so you need twice as much of everything to keep the ratio.

Here is the solution: And the ratio 2: is the same as 1:2:6 (because they show the same relative sizes) So the answer is: add 2 buckets of Cement and 4 buckets of Sand.

The cross products of a proportion is always equal If we again use the example with the cookie mix used above $$\frac=\frac$$ $$\cdot =\cdot =40$$ It is said that in a proportion if $$\frac=\frac \: where\: y,w\neq 0$$ $$xw=yz$$ If you look at a map it always tells you in one of the corners that 1 inch of the map correspond to a much bigger distance in reality. We often use scaling in order to depict various objects. Thus any measurement we see in the model would be 1/4 of the real measurement.

Scaling involves recreating a model of the object and sharing its proportions, but where the size differs. If we wish to calculate the inverse, where we have a 20ft high wall and wish to reproduce it in the scale of 1:4, we simply calculate: $$20\cdot 1:4=20\cdot \frac=5$$ In a scale model of 1: X where X is a constant, all measurements become 1/X - of the real measurement.

We are trying to get our unknown number, x, on the left side of the equation, all by itself.

## Comments Problem Solving With Proportions

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