Your weedeater instructions tell you to put a fuel mixture of gas and oil in the engine, and that ratio is 40:1. What does that mean? Ratios give us the relationship between quantities of two different things.
A ratio is nothing more than a fraction, so another way of representing ratios is by using faction notation. We'll explain.
In this example, we are given a ratio and then asked to apply that ratio to solve a problem. No problem!
Let's solve this word problem using what we know about ratios so far.
Finding a unit rate is a skill often required in real life. How fast is that plane flying? How many lawns can you mow in an afternoon? You see, with our knowledge of ratios and fractions, we can now solve unit rates problems like this.
Using our knowledge of fractions, we can solve this unit price problem. Remember to keep your units of measure consistent.
We're displaying ratios in a table format here, and then asking: given a ratio, solve for equivalent ratios. Here are a few examples to practice on.
Let's compare 2 tables of ratios and interpret them to solve the word problem. This is a fun!
In this example we'll plot points on the x and y axis to reflect the given ratios.
Let's start by thinking about what percent really means. Once you understand this, other pieces will begin to fall into place.
How does our meaning of percent (per "hundred") translate when we need to understand a percent OVER a hundred?
Once again, fractions are our friends as we use them to find a percentage. You'll also see a couple of different ways to arrive at the answer.
It's nice to practice conversion problems, but how about applying our new knowledge of percentages to a real life problem like recycling? Hint: don't forget your long division!