Answer :
Sure! Let's solve the problem step-by-step to see who got the higher percentage on the math test:
1. Jerry's Score:
Jerry scored 80% on his test. This means he correctly answered 80% of the questions on the test.
2. Paige's Score:
Paige answered 15 out of 20 questions correctly. To find Paige's percentage, we need to calculate the percentage of questions she got right.
3. Calculating Paige's Percentage:
To find the percentage of correct answers Paige gave, we use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of correct answers}}{\text{Total number of questions}}\right) \times 100
\][/tex]
Substituting in the values for Paige:
[tex]\[
\text{Percentage} = \left(\frac{15}{20}\right) \times 100
\][/tex]
[tex]\[
\text{Percentage} = 0.75 \times 100
\][/tex]
[tex]\[
\text{Percentage} = 75\%
\][/tex]
So, Paige got 75% correct on her test.
4. Comparison:
Jerry scored 80% on his test, while Paige scored 75%.
Since 80% is greater than 75%, Jerry got the higher percentage on the math test.
Therefore, Jerry got the higher percentage.
1. Jerry's Score:
Jerry scored 80% on his test. This means he correctly answered 80% of the questions on the test.
2. Paige's Score:
Paige answered 15 out of 20 questions correctly. To find Paige's percentage, we need to calculate the percentage of questions she got right.
3. Calculating Paige's Percentage:
To find the percentage of correct answers Paige gave, we use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of correct answers}}{\text{Total number of questions}}\right) \times 100
\][/tex]
Substituting in the values for Paige:
[tex]\[
\text{Percentage} = \left(\frac{15}{20}\right) \times 100
\][/tex]
[tex]\[
\text{Percentage} = 0.75 \times 100
\][/tex]
[tex]\[
\text{Percentage} = 75\%
\][/tex]
So, Paige got 75% correct on her test.
4. Comparison:
Jerry scored 80% on his test, while Paige scored 75%.
Since 80% is greater than 75%, Jerry got the higher percentage on the math test.
Therefore, Jerry got the higher percentage.
