A gardener planted flowers of different colors. 3/10 of the flowers are yellow.
3/4 of the remaining flowers are green.
The rest are purple.

The gardener planted 119 purple flowers, how many flowers did the gardener plant?

The gardener planted 680 flowers

Step-by-step explanation:

The different colors of flowers planted by the gardener are;

The proportion of the flowers planted that are yellow = 3/10

The proportion of the remaining flowers planted that are green = 3/4

The color of the rest of the flower planted = Purple

The number of purple flowers planted = 119 purple flowers

Let the number of flowers the gardener planted = x

Therefore, the number of yellow flowers planted = 3/10 × x

The number of green flowers planted = 3/4 × (x -  3/10 × x) = 21/40×x

The number of the rest of the flower which are purple = x - (3/10 × x+ 21/40×x) = x - 33/40×x = 7/40×x

∴ The number of the purple flowers planted = 7/40×x = 119

x = 119 × 40/7 = 680

The number of flowers the gardener planted = x = 680 flowers

The gardener planted 680 flowers.

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