Question

Find the number that makes the ratio equivalent to 2:8.

Answer 1

A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:8. This means that for every 2 scoops sugar crystals, there will need to be 8 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 800 ounces of water.

Answer 2

Sure, we'll start off by simplifying the ratio 2:8. Simplifying it gives us 1:4.

Our aim is to find a number, let's denote it by x, such that the ratio 2:x will be the same as 1:4.

To find such an x, we need to set up an equation using the principle of equivalence of ratios. This gives us 2/x = 1/4.

Now we proceed to solve this equation for x. We do this by cross-multiplying the fractions in the equation.

Cross-multiplication gives us 2*4 = x*1. Simplifying this yields 8 = x.

Hence, we can conclude that the number x that makes the ratio 2:x equivalent to 2:8 is 8.