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Last year, Nathan went bowling several times and earned an average score of 190 points. This year, after taking a class at school, he improved his score to an average of 247 points. What is the percent of increase in Nathan's average score?

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NoahBadillago

[tex]\large\underline{\mathbb{QUESTION}:}[/tex]

Last year, Nathan went bowling several times and earned an average score of 190 points. This year, after taking a class at school, he improved his score to an average of 247 points. What is the percent of increase in Nathan's average score?

[tex]\large\underline{\mathbb{ANSWER}:}[/tex]

  • 30%

[tex]\large\underline{\mathbb{SOLUTION}:}[/tex]

[tex]\sf \: Formula:[/tex]

[tex]\sf \: percent\ of\ change= \frac{amount\ of\ change}{original\ amount}[/tex]

Plug 190 points and 247 points into the formula and simplify:

[tex]\sf \: percent\ of\ change= \frac{amount\ of\ change}{original\ amount}[/tex]

                            [tex]\sf \: = \frac{247-190}{190}[/tex]

                            [tex]\sf \: = \frac{57}{190}[/tex]

                            [tex]\sf \: = 0.3[/tex]

Write the number as a percent:

  • 0.3 ⇒ 30%

The percent of increase in Nathan's average score is 30%

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