Question

Some landscapers just finished planting a new flower garden. They used​ pink, yellow, and blue flowers. For every 2 pink​ flowers, there are 5 yellow flowers and 7 blue flowers. There are 322 flowers altogether. How many of the flowers are pink​?

Answer 1

There are in total 46 Pink flowers.

Explanation:

For ever 2 pink flowers, there are 5 yellow flowers and 7 blue flowers

So, Pink flower : Yellow Flower ; Blue flower = 2: 5 : 7

Number of total flowers = 322

Now, let the common factor in the ratios of the flower be k .

So, according to the question:

2k + 5k + 7k = 322

or, 14k = 322

⇒ k = 322/ 14 = 23

So, there are 2k = 2 x 23 = 46 Pink flowers

Number of yellow flowers = 5k = 5 x 23 = 115

Number of Blue flowers = 7k = 7 x 23 = 161