One-third of the campers at Rosewood Performing Arts Camp play an instrument. Two-fifths of those campers play the guitar. What fraction of the campers at Rosewood Performing Arts Camp play the guitar? the answer says 2/5 is incorrect

Answer 1

To find the fraction of the campers at Rosewood Performing Arts Camp who play the guitar, we can break it down step by step.

1. Let's denote the total number of campers at Rosewood Performing Arts Camp as \( C \).

2. According to the information given, one-third of the campers play an instrument. So, the number of campers who play an instrument is: \[ \frac{1}{3}C \]

3. Out of those who play an instrument, two-fifths play the guitar. Thus, the number of campers who play the guitar is: \[ \frac{2}{5} \left(\frac{1}{3}C\right) = \frac{2}{5} \cdot \frac{1}{3}C = \frac{2}{15}C \]

So, the fraction of the total campers at Rosewood Performing Arts Camp that play the guitar is \( \frac{2}{15} \).

Hence, the correct answer is: \[ \frac{2}{15} \]

Answer 2

How-to books make up 0.3 of the books in the school library. Of these, 0.2 deal with carpentry and 0.4 deal with electronics.

0.3×0.4=0.12
0.3
×
0.4
=
0.12


Interpret what the answer 0.12 represents in this equation above.

(1 point)
Responses

the portion of the how-to books that are about either carpentry or electronics
the portion of the how-to books that are about either carpentry or electronics

the portion of the books in the library that are how-to books on electronics
the portion of the books in the library that are how-to books on electronics

the portion of books in the library that are how-to books on carpentry
the portion of books in the library that are how-to books on carpentry

the portion of books in the library that are how-to books

Answer 3

In the equation you provided, \(0.3 \times 0.4 = 0.12\), we can interpret what the answer \(0.12\) represents as follows:

• \(0.3\) represents the portion of the total books in the library that are how-to books.
• \(0.4\) represents the portion of the how-to books that deal with electronics.

Thus, when you multiply \(0.3\) (how-to books) by \(0.4\) (electronics), you are calculating the portion of the total books in the library that are how-to books on electronics.

Therefore, the correct interpretation of \(0.12\) is:

the portion of the books in the library that are how-to books on electronics.