Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Check all that apply. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: 10/20 = x/1,500. 10x30/20x30=x/1,500. 300=x He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20x75=1,500

Respuesta :

Answer:

1) He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.

2) He did not multiply the numerator and denominator by the correct number to equal 1,500.

5) He should have multiplied the numerator and denominator by 75, not 30,  because 20 x 75 = 1,500.

Step-by-step explanation:

Josiah's mistake is (b) He did not multiply the numerator and denominator by the correct number to equal 1,500

The proportion is given as:

[tex]\mathbf{\frac{10}{20} = \frac{x}{1500}}[/tex]

Multiply both sides by 1500

[tex]\mathbf{\frac{10}{20} \times 1500= \frac{x}{1500} \times 1500}[/tex]

Evaluate the expression on the right-hand side

[tex]\mathbf{\frac{10}{20} \times 1500= x}[/tex]

Multiply 10 by 1500 on the left-hand side

[tex]\mathbf{\frac{15000}{20}= x}[/tex]

Divide 15000 by 20 on the left-hand side

[tex]\mathbf{750= x}[/tex]

Rewrite the equation as:

[tex]\mathbf{x = 750}[/tex]

From the question, we can see that the products are not well carried out.

Hence, Josiah's mistake is (b)

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