Question

3/5 of blue ribbon in a box are blue. The rest are pink and orange. The ratio of the number of pink ribbons to the number of orange ribbons is 3:5. What is the ratio of the number of blue ribbons to the number of pink ribbons to the number of orange ribbons?




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Answer 1

Given :

• 3/5 of bIue ribbon in a box are bIue
• Ratio of number of pink ribbons to the number of orange ribbons = 3 : 5

To find :

• What is the ratio of the number of blue ribbons to the number of pink ribbons to the number of orange ribbons?

SoIution :

Given that 3/5 of ribbons in a box are bIue.

Let totaI number of ribbons be 5. Among them 3 are bIue.

So ribbons Ieft in box = 5 - 3 = 2

Let number of pink ribbons be 3x and number of orange ribbons be 5x

So atq :

⇒ 3x + 5x = 2

⇒ 8x = 2

⇒ x = 2/8

⇒ x = 0.25

∴ Number of pink ribbons = 3 × 0.25 = 0.75

∴ Number of orange ribbons = 5 × 0.25 = 1.25

Now ratio of the number of blue ribbons to the number of pink ribbons to the number of orange ribbons :

⇒ Ratio = 3 : 0.75 : 1.25

Now muItipIying each term by 4 :

⇒ Ratio = 12 : 3 : 5

∴ Ratio of the number of blue ribbons to the number of pink ribbons to the number of orange ribbons = 12 : 3 : 5

Answer 2

The answer will be 12:3:5

refer to attachment for steps