At Oakridge High School, \frac{3}{5} of the students participate in extracurricular sports… — ACT

At Oakridge High School, $\frac{3}{5}$ of the students participate in extracurricular sports. Of the students who participate in extracurricular sports, $25\%$ are members of the track and field team. What percent of the total students at Oakridge High School are on the track and field team?

Cevap: 15 %

Cevap

The correct answer is 15.

To find the portion of the total students on the track team, convert the fraction of students in sports to a decimal, which is 0.60. Then, multiply this by the track team percentage expressed as a decimal, which is 0.25. The product is 0.15, which represents 15% of the total student body.

Adım Adım Çözüm

Convert the fraction of students playing sports to a decimal

0.60

To easily multiply the two portions, convert the fraction to a decimal:

\frac{3}{5} = 0.60

Multiply the sports-participating portion by the track team percentage

0.15

To find a percentage of a decimal, convert the percentage to a decimal (

25\% = 0.25

) and multiply:

0.60 \times 0.25 = 0.15

Convert the final decimal back to a percentage

15\%

Multiply the decimal by 100 to express the final portion as a percentage:

0.15 \times 100 = 15\%

Anahtar Kavram

Fractions, Decimals, and Percentages

Tahmini Süre:45s

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Adım Adım Çözüm

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