Since they\"re asking for what percentage of total household waste could be recycled, you\"re looking at a multi-step cross multiplication problem.
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It\"s not very complicated though, don\"t worry.
So I\"m gonna start by telling you to simply forget that words \"million\" exists because that the moment. You only need 6.8, 20.1, and 27%.
Setting increase the very first part that the problem requires girlfriend to convert 27% right into a fraction. That\"s
6.8 is 27% of some mysterious number the we require to number out what percent of household waste can be recycled, so that\"ll be set up top top the opposite side of the equal authorize as the equivalent to 27.
So we\"re starting out v this:
Since you\"re trying come initially uncover the total household waste, we\"re setup x as the change to settle for.
Cross-multiplying** method you main point the numerator of one side of the equal authorize to the denominator of the other side that the equal sign, and vice versa (denominator that one side to molecule of other). So multiply 6.8 to 100, and 27 come x.
Now that you have this, you have to isolate x. Divide both sides by 27 to perform this.
I\"m gonna round the for simplicity\"s sake, because 185 repeats.
So we have 25.2 million tonnes of full household waste. Great! currently we can discover the percentage of family waste that can be recycled.
Since we have actually how much could be recycled and also the total, we simply need to resolve for the percent this time. For this reason this is what the set-up will look like:
x being the percent we\"re solving for.
Divide both political parties by 25.2:
Then round for simplicity\"s sake:
And you gain 79.76% of family waste can be recycled.
Hope this helped!
**Be mindful with cross-multiplying when you gain to higher level math though. Not every situation allows for cross-multiplying. In fact, you have the right to only cross-multiply once there\"s an equal sign.
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When the rock lands on the ground, it has no height. Or you might say that it has actually a elevation of 0. Therefore, our equation as soon as the height, y, is 0, looks like this: