Respuesta :

The correct answer is 12/17m+30/17 yellow ribbons.

Explanation:
Setting up a proportion to represent the ratio of red to yellow, we have
r/y = 17/6.

Cross multiply:
6r=17y.

To isolate y, cancel 17 by dividing:
6r/17 = y, or (6/17)r=y.

Substituting 2m+5 for r, we have
(6/17)(2m+5)=y.

Use the distributive property:
(6/17)*2m+(6/17)*5=y
(12/17)m+30/17=y.

Answer:

Number of yellow ribbons is [tex]Y=\frac{12}{17}M+\frac{30}{17}[/tex]

Step-by-step explanation:

Let the number of yellow ribbons are R and number of yellow ribbons are Y.

Then as per statement of the question

[tex]\frac{R}{Y}=\frac{17}{6}[/tex]

Or [tex]\frac{Y}{R}=\frac{6}{17}[/tex]

[tex]Y=(\frac{6}{17})R[/tex]-----------(1)

Now number of red ribbons is (2m + 5)

R = (2m + 5)

Now we replace the value of R in the equation (1)

[tex]Y=\frac{6}{17}(2M+5)[/tex]

[tex]Y=\frac{12}{17}M+\frac{30}{17}[/tex]

Answer is number of yellow ribbons is [tex]Y=\frac{12}{17}M+\frac{30}{17}[/tex]

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