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?

The concept that can be used in order to answer this item is that of the ratio and proportion. The ratio given in this item should also be equal to the ratio of the number of ribbons given the expression for red ribbons. The proportion can be expressed as such,

17/6 = (2m + 5) / y

Determining the expression for y

y = (6) (2m + 5) / 17

Simplifying,

y = (12m + 30) / 17

We must use the data of the problem that in this case are

ratio = 17: 6

number of red ribbons = 2m + 5

Number of yellow ribbons:

(6/17) * (2m+5)

(12/17) (m) + (30/17) (5)

(12/17) (m) + 1 (13/17)

There are (12/17) (m) + 1 (13/17) yellow ribbons