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Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Flori's Flower shop contains fewer than 150 flowers. All the flowers are purple, yellow, red or white. The ratio of purple flowers to yellow flowers is $1:2$ , the ratio of yellow flowers to red flowers is $3:4$ and the ratio of red flowers to white flowers is $5:6$ . How many flowers are there in Flori's shop?

(A) $133$ (B) $136$ (C) $139$ (D) $142$ (E) $145$

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