Final answer:
To find the equivalent ratio, set up a proportion using the given scores. Cross multiply and solve for the unknown score. Hannah's equivalent ratio score is 12 out of 20.
Step-by-step explanation:
An equivalent ratio refers to two or more ratios that express the same relationship between quantities but may have different numerical values. In other words, equivalent ratios have the same proportionality or scale factor, meaning that when you scale one ratio up or down, you obtain the others.
To find the equivalent ratio, we can set up a proportion using the given scores. The fraction representing Hannah's math quiz score is 6/10. We can set up the proportion as 6/10 = x/20, where x represents the unknown score in the equivalent ratio. To solve for x, we can cross-multiply and solve for x. Cross multiplying gives us 6*20 = 10*x. Simplifying further, we have 120 = 10x. Dividing both sides by 10 gives us x = 12.