Question

austin correctly answered 92% of the questions on a geography quiz. liz answered 47 of the 50 questions correctly.who earned the higher score? compare their scores.austin answered 47 of the questions correctly, which is greater than 94%, so liz earned the higher score.austin answered 47 of the questions correctly, which is less than 92%, so liz earned the higher score.liz answered 47 of the questions correctly, which is less than 92%, so liz earned the higher score.liz answered 47 of the questions correctly, which is greater than 92%, so liz earned the higher score.

Explanation:

Step1: Calculate Liz's score percentage

Liz answered 47 out of 50 questions correctly. The formula for percentage is $\frac{\text{number of correct answers}}{\text{total number of questions}}\times100\%$. So Liz's score is $\frac{47}{50}\times100\%$.
We can rewrite $\frac{47}{50}$ as $\frac{47\times2}{50\times2}=\frac{94}{100}=94\%$.

Step2: Compare with Austin's score

Austin's score is 92%. Since $94\%>92\%$.

Answer:

Liz answered 47 of the questions correctly, which is greater than 92%, so Liz earned the higher score.