Question

PLEASE HELP ME—————

the ratio of red ribbons to yellow ribbons is 17:6 if the number of red ribbons is 2m+5 how many yellow ribbon are there?

Answer 1

Number of yellow ribbons is
`Y=(12)/(17)M+(30)/(17)`

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

`(R)/(Y)=(17)/(6)`

Or
`(Y)/(R)=(6)/(17)`

`Y=((6)/(17))R`-----------(1)

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

R = (2m + 5)

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

`Y=(6)/(17)(2M+5)`

`Y=(12)/(17)M+(30)/(17)`

Answer is number of yellow ribbons is
`Y=(12)/(17)M+(30)/(17)`

Answer 2

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

Step-by-step 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.