Question

Andre is ordering ribbon to make decorations for a school event. For his design, he needs exactly 50.25 meters of blue and green ribbon. There has to be 50% more blue ribbon than green ribbon, plus an extra 6.5 meters of blue ribbon for accents.

Answer 1

R +Question:

How much of each color of ribbon does Andre need to order?

Answer:

Length of Blue ribbon Andres needs to order is 32.75 meters

Length of Red ribbon Andres needs to order is 17.5 meters

Explanation:

We are told that;

Total length of ribbon = 50.25 m

Length of blue ribbon, B = Length of red ribbon, R + 6.5

Therefore, B = 1.5·R + 6.5 ...................(1)

B + R = 50.25....................................(2)

Plugging in the value of B = 1.5·R + 6.5 in equation (2) we have;

1.5·R + 6.5 + R = 50.25

2.5·R = 50.25 - 6.5 = 43.75

R = 43.75/2.5 = 17.5 meters

Therefore, B = 1.5·R + 6.5

B = 1.5 × 17.5 + 6.5 = 32.75 meters

Therefore, Andre needs to order 17.5 meter of Red ribbon and 32.75 meters of Blue ribbon.

Answer 2

Andre needs exactly 32.75 m of blue ribbons and 17.5 m of green ribbons.

Explanation:

Andre requires exactly 50.25 m of blue and green ribbons.

Let the amount of blue ribbons needed = x

Let the amount of green ribbons needed = y

x + y = 50.25 (eqn 1)

It is given in the question that there has to be 50% more blue ribbon than green ribbon, plus an extra 6.5 meters of blue ribbon for accents.

Mathematixally, that is,

x = 1.5y + 6.5

Substituting this into eqn 1

x + y = 50.25

1.5y + 6.5 + y = 50.25

2.5y = 50.25 - 6.5 = 43.75

y = (43.75/2.5) = 17.5 m

x = 1.5y + 6.5 = (1.5×17.5) + 6.5 = 32.75 m

Hope this Helps!!!!